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Receding horizon control for the stabilization of the wave equation

Discrete and Continuous Dynamical Systems  Volume 38, Issue 2, Pages : 449 - 484, 2017

Behzad Azmi - (email), Karl Kunisch - (email)

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Quantification of the unique continuation property for the heat equation

Mathematical Control and Related Fields  Volume 7, Issue 3, Pages : 347 - 367, 2017

Laurent Bourgeois - (email)

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Existence and convexity of solutions of the fractional heat equation

Communications on Pure and Applied Analysis  Volume 16, Issue 6, Pages : 2201 - 2226, 2017

Antonio Greco - (email), Antonio Iannizzotto - (email)

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On weighted mixed-norm Sobolev estimates for some basic parabolic equations

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 855 - 882, 2017

Li Ping - (email), Pablo Raúl Stinga - (email), José Luis Torrea - (email)

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Higher order asymptotic for Burgers equation and Adhesion model

Communications on Pure and Applied Analysis  Volume 16, Issue 1, Pages : 253 - 272, 2016

Engu Satynarayana - (email), Manas R. Sahoo - (email), Manasa M - (email)

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Decay rates for $1-d$ heat-wave planar networks

Networks and Heterogeneous Media  Volume 11, Issue 4, Pages : 655 - 692, 2016

Zhong-Jie Han - (email), Enrique Zuazua - (email)

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Neurotransmitter concentrations in the presence of neural switching in one dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2255 - 2273, 2016

Sean D. Lawley - (email), Janet A. Best - (email), Michael C. Reed - (email)

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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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Partial null controllability of parabolic linear systems

Mathematical Control and Related Fields  Volume 6, Issue 2, Pages : 185 - 216, 2016

Farid Ammar Khodja - (email), Franz Chouly - (email), Michel Duprez - (email)

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Optimal design of sensors for a damped wave equation

DCDS Supplements  Volume 2015, Issue special, Pages : 936 - 944, 2015

Yannick Privat - (email), Emmanuel Trélat - (email)

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11

Heat equation with a nonlinear boundary condition and uniformly local $L^r$ spaces

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2627 - 2652, 2015

Kazuhiro Ishige - (email), Ryuichi Sato - (email)

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An Ingham--Müntz type theorem and simultaneous observation problems

Evolution Equations and Control Theory  Volume 4, Issue 3, Pages : 297 - 314, 2015

Vilmos Komornik - (email), Gérald Tenenbaum - (email)

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Effective boundary conditions of the heat equation on a body coated by functionally graded material

Discrete and Continuous Dynamical Systems  Volume 36, Issue 3, Pages : 1415 - 1430, 2015

Huicong Li - (email)

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BMO martingales and positive solutions of heat equations

Mathematical Control and Related Fields  Volume 5, Issue 3, Pages : 453 - 473, 2015

Ying Hu - (email), Zhongmin Qian - (email)

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Time-dependent singularities in the heat equation

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 969 - 979, 2015

Jin Takahashi - (email), Eiji Yanagida - (email)

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On the influence of the coupling on the dynamics of single-observed cascade systems of PDE's

Mathematical Control and Related Fields  Volume 5, Issue 1, Pages : 1 - 30, 2015

Fatiha Alabau-Boussouira - (email)

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17

Singular limit analysis of a reaction-diffusion system with precipitation and dissolution in a porous medium

Networks and Heterogeneous Media  Volume 9, Issue 4, Pages : 669 - 682, 2014

Danielle Hilhorst - (email), Hideki Murakawa - (email)

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An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method

Inverse Problems and Imaging  Volume 8, Issue 4, Pages : 1073 - 1116, 2014

Masaru Ikehata - (email), Mishio Kawashita - (email)

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Observability and controllability analysis of blood flow network

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 521 - 554, 2014

Chun Zong - (email), Gen Qi Xu - (email)

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Observability of rectangular membranes and plates on small sets

Evolution Equations and Control Theory  Volume 3, Issue 2, Pages : 287 - 304, 2014

Vilmos Komornik - (email), Paola Loreti - (email)

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Heat source identification based on $l_1$ constrained minimization

Inverse Problems and Imaging  Volume 8, Issue 1, Pages : 199 - 221, 2014

Yingying Li - (email), Stanley Osher - (email), Richard Tsai - (email)

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Improved interpolation inequalities on the sphere

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 4, Pages : 695 - 724, 2014

Jean Dolbeault - (email), Maria J. Esteban - (email), Michał Kowalczyk - (email), Michael Loss - (email)

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23

Cross-like internal observability of rectangular membranes

Evolution Equations and Control Theory  Volume 3, Issue 1, Pages : 135 - 146, 2014

Vilmos Komornik - (email), Bernadette Miara - (email)

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Controllability to trajectories for some parabolic systems of three and two equations by one control force

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 17 - 44, 2013

Assia Benabdallah - (email), Michel Cristofol - (email), Patricia Gaitan - (email), Luz de Teresa - (email)

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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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Dead-core rates for the heat equation with a spatially dependent strong absorption

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2203 - 2210, 2013

Chin-Chin Wu - (email), Zhengce Zhang - (email)

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Local Hadamard well--posedness and blow--up for reaction--diffusion equations with non--linear dynamical boundary conditions

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 5015 - 5047, 2013

Alessio Fiscella - (email), Enzo Vitillaro - (email)

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28

Carleman inequalities for the two-dimensional heat equation in singular domains

Mathematical Control and Related Fields  Volume 2, Issue 4, Pages : 331 - 359, 2012

Abdelhakim Belghazi - (email), Ferroudja Smadhi - (email), Nawel Zaidi - (email), Ouahiba Zair - (email)

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Controllability of the heat and wave equations and their finite difference approximations by the shape of the domain

Mathematical Control and Related Fields  Volume 2, Issue 4, Pages : 429 - 455, 2012

Jonathan Touboul - (email)

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30

Probing for inclusions in heat conductive bodies

Inverse Problems and Imaging  Volume 6, Issue 3, Pages : 423 - 446, 2012

Patricia Gaitan - (email), Hiroshi Isozaki - (email), Olivier Poisson - (email), Samuli Siltanen - (email), Janne Tamminen - (email)

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Approximate controllability of semilinear reaction diffusion equations

Mathematical Control and Related Fields  Volume 2, Issue 2, Pages : 171 - 182, 2012

Hugo Leiva - (email), Nelson Merentes - (email), José L. Sánchez - (email)

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32

Instability of coupled systems with delay

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 1753 - 1773, 2012

Reinhard Racke - (email)

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33

Erratum and addendum to "Feedback stabilization of a coupled string-beam system" by K. Ammari, M. Jellouli and M. Mehrenberger; N. H. M: 4 (2009), 19--34

Networks and Heterogeneous Media  Volume 6, Issue 4, Pages : 783 - 784, 2011

Kaïs Ammari - (email), Mohamed Jellouli - (email), Michel Mehrenberger - (email)

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34

Recovery of the heat coefficient by two measurements

Inverse Problems and Imaging  Volume 5, Issue 4, Pages : 775 - 791, 2011

Amin Boumenir - (email), Vu Kim Tuan - (email)

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35

Multi-scale multi-profile global solutions of parabolic equations in $\mathbb{R}^N $

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 449 - 472, 2011

Thierry Cazenave - (email), Flávio Dickstein - (email), Fred B. Weissler - (email)

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36

Classification of local asymptotics for solutions to heat equations with inverse-square potentials

Discrete and Continuous Dynamical Systems  Volume 31, Issue 1, Pages : 65 - 107, 2011

Veronica Felli - (email), Ana Primo - (email)

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37

A generalization of the moment problem to a complex measure space and an approximation technique using backward moments

Discrete and Continuous Dynamical Systems  Volume 30, Issue 1, Pages : 187 - 207, 2011

Yong-Jung Kim - (email)

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38

An identification problem for a linear evolution equation in a Banach space and applications

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 671 - 691, 2010

Alfredo Lorenzi - (email), Ioan I. Vrabie - (email)

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39

Improved Hardy-Poincaré inequalities and sharp Carleman estimates for degenerate/singular parabolic problems

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 3, Pages : 761 - 790, 2010

Judith Vancostenoble - (email)

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40

Hot spots for the two dimensional heat equation with a rapidly decaying negative potential

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 4, Pages : 833 - 849, 2010

Kazuhiro Ishige - (email), Y. Kabeya - (email)

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41

A systematic method for building smooth controls for smooth data

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1375 - 1401, 2010

Sylvain Ervedoza - (email), Enrique Zuazua - (email)

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42

A direct Lebeau-Robbiano strategy for the observability of heat-like semigroups

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1465 - 1485, 2010

Luc Miller - (email)

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43

Riesz systems and moment method in the study of viscoelasticity in one space dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 4, Pages : 1487 - 1510, 2010

Luciano Pandolfi - (email)

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44

Blow-up in a subdiffusive medium with advection

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1655 - 1667, 2010

W. Edward Olmstead - (email), Colleen M. Kirk - (email), Catherine A. Roberts - (email)

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45

The coolest path problem

Networks and Heterogeneous Media  Volume 5, Issue 1, Pages : 143 - 162, 2010

Martin Frank - (email), Armin Fügenschuh - (email), Michael Herty - (email), Lars Schewe - (email)

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46

Boundary layers in smooth curvilinear domains: Parabolic problems

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1213 - 1240, 2009

Gung-Min Gie - (email), Makram Hamouda - (email), Roger Témam - (email)

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47

On the minimal time null controllability of the heat equation

DCDS Supplements  Volume 2009, Issue Special, Pages : 143 - 150, 2009

Ovidiu Cârjă - (email), Alina Lazu - (email)

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48

Equivalence between observability and stabilization for a class of second order semilinear evolution

DCDS Supplements  Volume 2009, Issue Special, Pages : 744 - 752, 2009

Louis Tcheugoue Tebou - (email)

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49

Stability of the heat and of the wave equations with boundary time-varying delays

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 559 - 581, 2009

Serge Nicaise - (email), Julie Valein - (email), Emilia Fridman - (email)

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50

Feedback stabilization of a coupled string-beam system

Networks and Heterogeneous Media  Volume 4, Issue 1, Pages : 19 - 34, 2009

Kaïs Ammari - (email), Mohamed Jellouli - (email), Michel Mehrenberger - (email)

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51

Identification of the class of initial data for the insensitizing control of the heat equation

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 457 - 471, 2008

Luz de Teresa - (email), Enrique Zuazua - (email)

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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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Regularity theory in Orlicz spaces for the poisson and heat equations

Communications on Pure and Applied Analysis  Volume 7, Issue 2, Pages : 407 - 416, 2007

Huilian Jia - (email), Lihe Wang - (email), Fengping Yao - (email), Shulin Zhou - (email)

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$L^1$-estimates for the higher-order derivatives of solutions to parabolic equations subject to initial values of bounded total variation

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1051 - 1074, 2007

Denis R. Akhmetov - (email), Renato Spigler - (email)

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On conditions that prevent steady-state controllability of certain linear partial differential equations

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 643 - 672, 2006

Yacine Chitour - (email), Jean-Michel Coron - (email), Mauro Garavello - (email)

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Positivity for large time of solutions of the heat equation: the parabolic antimaximum principle

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 193 - 200, 2003

Jesus Ildefonso Díaz - (email), Jacqueline Fleckinger-Pellé - (email)

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Universal solutions of the heat equation on $\mathbb R^N$

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1105 - 1132, 2003

Thierry Cazenave - (email), Flávio Dickstein - (email), Fred B. Weissler - (email)

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Controllability of partial differential equations and its semi-discrete approximations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 2, Pages : 469 - 513, 2002

Enrique Zuazua - (email)

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Nonlinear heat equation: the radial case

Discrete and Continuous Dynamical Systems  Volume 5, Issue 4, Pages : 849 - 870, 1999

Arthur Ramiandrisoa - (email)

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Minimizing movements of the Mumford and Shah energy

Discrete and Continuous Dynamical Systems  Volume 3, Issue 2, Pages : 153 - 174, 1997

Antonin Chambolle - (email), Francesco Doveri - (email)

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Wiener's criterion at $\infty$ for the heat equation and its measure-theoretical counterpart

Electronic Research Announcements in Mathematical Sciences  Volume 15, Issue 0, Pages : 44 - 51,

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