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1

A discrete Liouville identity for numerical reconstruction of Schrödinger potentials

Inverse Problems and Imaging  Volume 11, Issue 4, Pages : 623 - 641, 2017

Liliana Borcea - (email), Fernando Guevara Vasquez - (email), Alexander V. Mamonov - (email)

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2

Local well-posedness for 2-D Schrödinger equation on irrational tori and bounds on Sobolev norms

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1517 - 1530, 2017

Seckin Demirbas - (email)

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3

Stability of Hasimoto solitons in energy space for a fourth order nonlinear Schrödinger type equation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 4091 - 4108, 2017

Zhong Wang - (email)

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4

The existence of nontrivial solutions to Chern-Simons-Schrödinger systems

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2765 - 2786, 2017

Youyan Wan - (email), Jinggang Tan - (email)

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5

Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6943 - 6974, 2016

Hiroyuki Hirayama - (email), Mamoru Okamoto - (email)

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6

Multiple homoclinic solutions for a one-dimensional Schrödinger equation

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 4, Pages : 1025 - 1038, 2016

Walter Dambrosio - (email), Duccio Papini - (email)

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7

On some boundary control problems

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 3, Pages : 613 - 618, 2016

Orazio Arena - (email)

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8

A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation

DCDS Supplements  Volume 2015, Issue special, Pages : 1070 - 1078, 2015

Vyacheslav A. Trofimov - (email), Evgeny M. Trykin - (email)

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9

Exact internal controllability for the wave equation in a domain with oscillating boundary with Neumann boundary condition

Evolution Equations and Control Theory  Volume 4, Issue 3, Pages : 325 - 346, 2015

Umberto De Maio - (email), Akamabadath K. Nandakumaran - (email), Carmen Perugia - (email)

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10

Derivation of the Quintic NLS from many-body quantum dynamics in $T^2$

Communications on Pure and Applied Analysis  Volume 14, Issue 5, Pages : 1941 - 1960, 2015

Jianjun Yuan - (email)

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11

Backward stochastic Schrödinger and infinite-dimensional Hamiltonian equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 11, Pages : 5379 - 5412, 2015

Qing Xu - (email)

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12

Relating systems properties of the wave and the Schrödinger equation

Evolution Equations and Control Theory  Volume 4, Issue 2, Pages : 233 - 240, 2015

Hans Zwart - (email), Yann Le Gorrec - (email), Bernhard Maschke - (email)

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13

On the classical limit of the Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 35, Issue 12, Pages : 5689 - 5709, 2015

Claude Bardos - (email), François Golse - (email), Peter Markowich - (email), Thierry Paul - (email)

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14

Schrödinger equations with rough Hamiltonians

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4805 - 4821, 2015

Elena Cordero - (email), Fabio Nicola - (email), Luigi Rodino - (email)

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15

A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1481 - 1531, 2015

Satoshi Masaki - (email)

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16

Stability and controllability of a wave equation with dynamical boundary control

Mathematical Control and Related Fields  Volume 5, Issue 2, Pages : 305 - 320, 2015

Bopeng Rao - (email), Laila Toufayli - (email), Ali Wehbe - (email)

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17

Increasing stability for the inverse problem of the Schrödinger equation with the partial Cauchy data

Inverse Problems and Imaging  Volume 9, Issue 2, Pages : 469 - 478, 2015

Li Liang - (email)

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18

Multi-bump solutions for Schrödinger equation involving critical growth and potential wells

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3393 - 3415, 2015

Yuxia Guo - (email), Zhongwei Tang - (email)

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19

Simultaneous controllability of some uncoupled semilinear wave equations

Discrete and Continuous Dynamical Systems  Volume 35, Issue 8, Pages : 3721 - 3743, 2015

Louis Tebou - (email)

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20

Strichartz estimates for Schrödinger equations with variable coefficients and unbounded potentials II. Superquadratic potentials

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2177 - 2210, 2014

Haruya Mizutani - (email)

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21

Hodge type decomposition in variable exponent spaces for the time-dependent operators: the Schrödinger case

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2253 - 2272, 2014

P. Cerejeiras - (email), U. Kähler - (email), M. M. Rodrigues - (email), N. Vieira - (email)

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22

A sharper energy method for the localization of the support to some stationary Schrödinger equations with a singular nonlinearity

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3371 - 3382, 2014

Pascal Bégout - (email), Jesús Ildefonso Díaz - (email)

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23

A random cloud model for the Schrödinger equation

Kinetic and Related Models  Volume 7, Issue 2, Pages : 361 - 379, 2014

Wolfgang Wagner - (email)

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24

Transverse instability for a system of nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 2, Pages : 565 - 588, 2014

Yohei Yamazaki - (email)

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25

Regularity of the attractor for a Bose-Einstein equation in a two dimensional unbounded domain

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 651 - 677, 2014

Brahim Alouini - (email), Olivier Goubet - (email)

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26

The nonlinear Schrödinger equation created by the vibrations of an elastic plate and its dimensional expansion

DCDS Supplements  Volume 2013, Issue special, Pages : 415 - 426, 2013

Shuya Kanagawa - (email), Ben T. Nohara - (email)

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27

Schrödinger equation with noise on the boundary

DCDS Supplements  Volume 2013, Issue special, Pages : 791 - 796, 2013

Frank Wusterhausen - (email)

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28

A problem of boundary controllability for a plate

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 557 - 562, 2013

Orazio Arena - (email)

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29

Semi-classical models for the Schrödinger equation with periodic potentials and band crossings

Kinetic and Related Models  Volume 6, Issue 3, Pages : 505 - 532, 2013

Lihui Chai - (email), Shi Jin - (email), Qin Li - (email)

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30

Carleman estimates for the Schrödinger operator and applications to unique continuation

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1013 - 1036, 2012

Ihyeok Seo - (email)

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31

Local controllability of the $N$-dimensional Boussinesq system with $N-1$ scalar controls in an arbitrary control domain

Mathematical Control and Related Fields  Volume 2, Issue 4, Pages : 361 - 382, 2012

Nicolás Carreño - (email)

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32

Reconstruction of the singularities of a potential from backscattering data in 2D and 3D

Inverse Problems and Imaging  Volume 6, Issue 2, Pages : 321 - 355, 2012

Juan Manuel Reyes - (email), Alberto Ruiz - (email)

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33

Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 759 - 774, 2012

Rémi Carles - (email), Christof Sparber - (email)

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34

The Evans function and the Weyl-Titchmarsh function

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 939 - 970, 2012

Yuri Latushkin - (email), Alim Sukhtayev - (email)

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35

On asymptotic stability of solitons in a nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 1063 - 1079, 2011

Alexander Komech - (email), Elena Kopylova - (email), David Stuart - (email)

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36

Reconstructions from boundary measurements on admissible manifolds

Inverse Problems and Imaging  Volume 5, Issue 4, Pages : 859 - 877, 2011

Carlos E. Kenig - (email), Mikko Salo - (email), Gunther Uhlmann - (email)

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37

Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions

Mathematical Control and Related Fields  Volume 1, Issue 2, Pages : 189 - 230, 2011

Scott W. Hansen - (email), Oleg Yu Imanuvilov - (email)

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38

A time reversal based algorithm for solving initial data inverse problems

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 641 - 652, 2010

Kazufumi Ito - (email), Karim Ramdani - (email), Marius Tucsnak - (email)

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39

A general description of quantum dynamical spreading over an orthonormal basis and applications to Schrödinger operators

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1381 - 1412, 2010

David Damanik - (email), Serguei Tcheremchantsev - (email)

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40

Sign--changing solutions for an asymptotically linear Schrödinger equation

DCDS Supplements  Volume 2009, Issue Special, Pages : 669 - 677, 2009

Addolorata Salvatore - (email)

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41

Multiplicity of solutions for elliptic systems via local Mountain Pass method

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1745 - 1758, 2009

Claudianor O. Alves - (email), Giovany M. Figueiredo - (email), Marcelo F. Furtado - (email)

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42

Elliptic systems involving critical growth in dimension two

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 2013 - 2035, 2009

Paulo Rabelo - (email)

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43

The construction of quasi-periodic solutions of quasi-periodic forced Schrödinger equation

Communications on Pure and Applied Analysis  Volume 8, Issue 5, Pages : 1585 - 1606, 2009

Lei Jiao - (email), Yiqian Wang - (email)

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44

On the time evolution of Wigner measures for Schrödinger equations

Communications on Pure and Applied Analysis  Volume 8, Issue 2, Pages : 559 - 585, 2008

Rémi Carles - (email), Clotilde Fermanian-Kammerer - (email), Norbert J. Mauser - (email), Hans Peter Stimming - (email)

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45

A spectral approach to the indirect boundary control of a system of weakly coupled wave equations

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 399 - 414, 2008

Zhuangyi Liu - (email), Bopeng Rao - (email)

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46

Time discrete wave equations: Boundary observability and control

Discrete and Continuous Dynamical Systems  Volume 23, Issue 1/2, Pages : 571 - 604, 2008

Xu Zhang - (email), Chuang Zheng - (email), Enrique Zuazua - (email)

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47

Discrete transparent boundary conditions for the Schrodinger equation -- a compact higher order scheme

Kinetic and Related Models  Volume 1, Issue 1, Pages : 101 - 125, 2008

Maike Schulte - (email), Anton Arnold - (email)

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48

Inverse problems for quantum trees

Inverse Problems and Imaging  Volume 2, Issue 1, Pages : 1 - 21, 2008

Sergei Avdonin - (email), Pavel Kurasov - (email)

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49

Optimal design of an optical length of a rod with the given mass

DCDS Supplements  Volume 2007, Issue Special, Pages : 85 - 91, 2007

Boris P. Belinskiy - (email)

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50

Smoothing-Strichartz estimates for the Schrodinger equation with small magnetic potential

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 771 - 786, 2007

Vladimir Georgiev - (email), Atanas Stefanov - (email), Mirko Tarulli - (email)

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51

Homogenization of the Schrödinger equation with a time oscillating potential

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 1 - 16, 2005

Grégoire Allaire - (email), M. Vanninathan - (email)

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52

Riesz basis property and related results for a Rao-Nakra sandwich beam

DCDS Supplements  Volume 2005, Issue Special, Pages : 365 - 375, 2005

Scott W. Hansen - (email), Rajeev Rajaram - (email)

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53

Controllability properties of a vibrating string with variable axial load

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 311 - 324, 2004

Alexander Khapalov - (email)

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54

Exact controllability in "arbitrarily short time" of the semilinear wave equation

Discrete and Continuous Dynamical Systems  Volume 9, Issue 4, Pages : 901 - 924, 2003

Patrick Martinez - (email), Judith Vancostenoble - (email)

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55

Controllability of a string under tension

DCDS Supplements  Volume 2003, Issue Special, Pages : 57 - 67, 2003

Sergei A. Avdonin - (email), Boris P. Belinskiy - (email)

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56

Polynomial upper bounds for the instability of the nonlinear Schrödinger equation below the energy norm

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 33 - 50, 2002

J. Colliander - (email), M. Keel - (email), G. Staffilani - (email), H. Takaoka - (email), T. Tao - (email)

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57

Polynomial upper bounds for the orbital instability of the 1D cubic NLS below the energy norm

Discrete and Continuous Dynamical Systems  Volume 9, Issue 1, Pages : 31 - 54, 2002

J. Colliander - (email), M. Keel - (email), G. Staffilani - (email), H. Takaoka - (email), T. Tao - (email)

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58

Solutions of a nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 8, Issue 3, Pages : 563 - 584, 2002

D.G. deFigueiredo - (email), Yanheng Ding - (email)

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59

The Schrödinger equation with singular time-dependent potentials

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 705 - 722, 2000

Holger Teismann - (email)

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60

Exact boundary controllability of a coupled system

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 665 - 672, 2000

Mohammed Aassila - (email)

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61

Semidiscretization in time for nonlinear Schrödinger-waves equations

Discrete and Continuous Dynamical Systems  Volume 4, Issue 4, Pages : 671 - 690, 1998

Thierry Colin - (email), Pierre Fabrie - (email)

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62

Exact controllability of a beam in an incompressible inviscid fluid

Discrete and Continuous Dynamical Systems  Volume 3, Issue 1, Pages : 59 - 78, 1996

Scott W. Hansen - (email), Andrei A. Lyashenko - (email)

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63

Exact controllability of the wave equation for domains with slits and for mixed boundary conditions

Discrete and Continuous Dynamical Systems  Volume 2, Issue 3, Pages : 367 - 386, 1996

Arnaud Heibig - (email), Mohand Moussaoui - (email)

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