Uniform null controllability for parabolic equations with discontinuous diffusion coefficients

DOI10.1051/cocv/2021063zbMath1468.35082OpenAlexW3166901225MaRDI QIDQ4999576

Jérémi Dardé, Roberto Rodríguez Morales, Sylvain Ervedoza

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2021063

zbMATH Keywords

heat equationwave equationtransmutation technique

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07) Transformations (93B17) Second-order hyperbolic equations (35L10) Second-order parabolic equations (35K10)

Cites Work

• Carleman estimates for stratified media
• Local and global Carleman estimates for parabolic operators with coefficients with jumps at interfaces
• Observability of heat processes by transmutation without geometric restrictions
• Sharp observability estimates for heat equations
• Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients
• Carleman estimate for elliptic operators with coefficients with jumps at an interface in arbitrary dimension and application to the null controllability of linear parabolic equations
• Controllability cost of conservative systems: resolvent condition and transmutation
• Null controllability in a heat-solid structure model
• Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem
• Carleman estimates for anisotropic elliptic operators with jumps at an interface
• Exact controllability theorems for linear parabolic equations in one space dimension
• Observability estimates for the wave equation with rough coefficients
• Null Controllability of One-dimensional Parabolic Equations by the Flatness Approach
• A global Carleman estimate in a transmission wave equation and application to a one-measurement inverse problem
• The Control Transmutation Method and the Cost of Fast Controls
• Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Contróle Exact De Léquation De La Chaleur
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Null-controllability of one-dimensional parabolic equations
• An inverse problem for Schrödinger equations with discontinuous main coefficient
• Carleman Estimates for Some Non-Smooth Anisotropic Media
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