Judith Vancostenoble

27
Documents

Publications

Publications

Analysis of a two-layer energy balance model: Long time behavior and greenhouse effect

P. Cannarsa , V. Lucarini , P. Martinez , C. Urbani , J. Vancostenoble
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023, 33 (11), ⟨10.1063/5.0136673⟩
Article dans une revue hal-04474928 v1

Existence and cost of boundary controls for a degenerate/singular parabolic equation

U. Biccari , V. Hernández-Santamaría , Judith Vancostenoble
Mathematical Control and Related Fields, 2022, 12 (2), pp.495. ⟨10.3934/mcrf.2021032⟩
Article dans une revue hal-04889132 v1
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LIPSCHITZ STABILITY FOR THE GROWTH RATE COEFFICIENTS IN A NONLINEAR FISHER-KPP EQUATION

P Martinez , J Vancostenoble
Discrete and Continuous Dynamical Systems - Series S, 2021, 14 (2), pp.695-721. ⟨10.3934/dcdss.2020362⟩
Article dans une revue hal-04903084 v1
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SHARP ESTIMATE OF THE COST OF CONTROLLABILITY FOR A DEGENERATE PARABOLIC EQUATION WITH INTERIOR DEGENERACY

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
Minimax Theory and its Applications, 2021, 06 (2), pp.251-280
Article dans une revue hal-02453291 v2

The cost of controlling strongly degenerate parabolic equations

P. Cannarsa , P. Martinez , Judith Vancostenoble
ESAIM: Control, Optimisation and Calculus of Variations, 2020, 26, pp.2. ⟨10.1051/cocv/2018007⟩
Article dans une revue hal-04889020 v1

Precise estimates for biorthogonal families under asymptotic gap conditions

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
Discrete and Continuous Dynamical Systems - Series S, 2020, 13 (5), pp.1441-1472. ⟨10.3934/dcdss.2020082⟩
Article dans une revue hal-04889042 v1

The cost of boundary controllability for a parabolic equation with inverse square potential

Patrick Martinez , Judith Vancostenoble
Evolution Equations and Control Theory, 2019, 8 (2), pp.397-422. ⟨10.3934/eect.2019020⟩
Article dans une revue hal-04888928 v1
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PRECISE ESTIMATES FOR BIORTHOGONAL FAMILIES UNDER ASYMPTOTIC GAP CONDITIONS

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
Discrete and Continuous Dynamical Systems - Series S, In press
Article dans une revue hal-01834726 v1
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THE COST OF BOUNDARY CONTROLLABILITY FOR A PARABOLIC EQUATION WITH INVERSE SQUARE POTENTIAL

Patrick Martinez , Judith Vancostenoble
Evolution Equations and Control Theory (EECT), In press
Article dans une revue hal-01834736 v1
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THE COST OF CONTROLLING STRONGLY DEGENERATE PARABOLIC EQUATIONS

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
ESAIM: Control, Optimisation and Calculus of Variations, In press
Article dans une revue hal-01834720 v1

The cost of controlling weakly degenerate parabolic equations by boundary controls

Judith Vancostenoble , Patrick Martinez , Piermarco Cannarsa
Mathematical Control and Related Fields, 2017, 7 (2), pp.171 - 211. ⟨10.3934/mcrf.2017006⟩
Article dans une revue hal-01834029 v1

GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
Memoirs of the American Mathematical Society, 2016, 239 (1133), pp.0 - 0. ⟨10.1090/memo/1133⟩
Article dans une revue hal-01890828 v1
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Lipschitz stability for an inverse problem for the 2D-Sellers model on a manifold

Patrick Martinez , Jacques Tort , Judith Vancostenoble
Rivista di Matematica della Università di Parma, 2016, 7, pp.351-389
Article dans une revue hal-01834728 v1
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A new age-dependent population model with diffusion and gestation processes

Genni Fragnelli , Patrick Martinez , Judith Vancostenoble
Rivista di Matematica della Università di Parma, 2016, 7, pp.321-339
Article dans une revue hal-01834734 v1

Determination of the insolation function in the nonlinear Sellers climate model

Jacques Tort , Judith Vancostenoble
Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2012, 29 (5), pp.683-713. ⟨10.1016/j.anihpc.2012.03.003⟩
Article dans une revue hal-00782310 v1

Lipschitz stability in inverse source problems for singular parabolic equations

Judith Vancostenoble
Communications in Partial Differential Equations, 2011, 36 (8), p. 1287-1317. ⟨10.1080/03605302.2011.587491⟩
Article dans une revue hal-00994790 v1

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

Judith Vancostenoble
Discrete and Continuous Dynamical Systems - Series S, 2011, 4 (3), p. 761--790. ⟨10.3934/dcdss.2011.4.761⟩
Article dans une revue hal-00994793 v1

Sharp Carleman estimates for singular parabolic equations and application to Lipschitz stability in inverse source problems

Judith Vancostenoble
Comptes Rendus. Mathématique, 2010, 348 (13-14), pp.801-805. ⟨10.1016/j.crma.2010.06.001⟩
Article dans une revue istex hal-00629880 v1

Carleman estimates and null controllability for boundary-degenerate parabolic operators

Piermarco Cannarsa , Patrick Martinez , Judith Vancostenoble
Comptes Rendus. Mathématique, 2009, 347 (3-4), p. 147-152
Article dans une revue hal-00994813 v1

Hardy inequalities, observability, and control for the wave and Schrödinger equations with singular potentials

Judith Vancostenoble , E. Zuazua
SIAM Journal on Mathematical Analysis, 2009, 41 (4), pp.1508-1532. ⟨10.1137/080731396⟩
Article dans une revue hal-00628768 v1

Exact controllability of an aeroacoustic model with a Neumann and a Dirichlet boundary control

Louis Cot , Jean-Pierre Raymond , Judith Vancostenoble
SIAM Journal on Control and Optimization, 2009, 48 (3), pp.1489-1518. ⟨10.1137/070685609⟩
Article dans une revue hal-00627056 v1

Null controllability for the heat equation with singular inverse-square potentials

Judith Vancostenoble , Enrique Zuazua
Journal of Functional Analysis, 2008, 254 (7), pp.1864-1902. ⟨10.1016/j.jfa.2007.12.015⟩
Article dans une revue istex hal-00635506 v1

Asymptotic stability for intermittently controlled second-order evolution equations

Alain Haraux , P. Martinez , J. Vancostenoble
SIAM Journal on Control and Optimization, 2005, 43-6, pp.2089-2108
Article dans une revue hal-00021269 v1

Blow-up" of bounded solutions of differential equations

Vilmos Komornik , Patrick Martinez , Michel Pierre , Judith Vancostenoble
Acta Scientiarum Mathematicarum, 2003, 69, num. 3-4, pp.651-657
Article dans une revue hal-00084055 v1

Exact controllability of an aeroacoustic model

L. Cot , Jean-Pierre Raymond , Judith Vancostenoble
Control Set-Valued Analysis and Applications" (CSVAA04) Conference, 2004, France. pp.26--49
Communication dans un congrès hal-00635581 v1