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1

A decomposition for the Schrödinger equation with applications to bilinear and multilinear estimates

Communications on Pure and Applied Analysis  Volume 17, Issue 2, Pages : 627 - 646, 2017

Felipe Hernandez - (email)

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2

NLS-like equations in bounded domains: Parabolic approximation procedure

Discrete and Continuous Dynamical Systems - Series B  Volume 23, Issue 1, Pages : 57 - 77, 2017

Alexandre N. Carvalho - (email), Jan W. Cholewa - (email)

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3

Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities

Communications on Pure and Applied Analysis  Volume 17, Issue 1, Pages : 143 - 161, 2017

Bartosz Bieganowski - (email), Jarosław Mederski - (email)

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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Few remarks on the use of Love waves in non destructive testing

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 2, Pages : 427 - 444, 2016

Philippe Destuynder - (email), Caroline Fabre - (email)

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12

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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13

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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14

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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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

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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23

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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24

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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25

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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26

Local controllability of 1D Schrödinger equations with bilinear control and minimal time

Mathematical Control and Related Fields  Volume 4, Issue 2, Pages : 125 - 160, 2014

Karine Beauchard - (email), Morgan Morancey - (email)

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27

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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28

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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29

Schrödinger equation with noise on the boundary

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

Frank Wusterhausen - (email)

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30

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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31

An interface problem: The two-layer shallow water equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5327 - 5345, 2013

Madalina Petcu - (email), Roger Temam - (email)

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32

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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33

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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34

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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35

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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36

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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37

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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38

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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39

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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40

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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41

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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42

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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43

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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44

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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45

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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46

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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47

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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48

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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49

Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

Discrete and Continuous Dynamical Systems  Volume 13, Issue 5, Pages : 1257 - 1276, 2005

A. Rousseau - (email), Roger Temam - (email), J. Tribbia - (email)

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50

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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51

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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52

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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53

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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54

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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