Carleman estimates for the heat equation with discontinuous diffusion coefficients
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Publication:5503677
DOI10.1080/00036810802140665zbMath1152.35389OpenAlexW2027070329MaRDI QIDQ5503677
Publication date: 16 January 2009
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810802140665
Nonlinear parabolic equations (35K55) Heat equation (35K05) Inverse problems for PDEs (35R30) PDEs with low regular coefficients and/or low regular data (35R05)
Related Items (6)
Reconstruction of two time independent coefficients in an inverse problem for a phase field system ⋮ An inverse problem for the transmission wave equation with Kelvin–Voigt damping ⋮ Inverse Problems for a Compressible Fluid System ⋮ Carleman Estimates for Some Non-Smooth Anisotropic Media ⋮ Inverse problems for the phase field system with one observation ⋮ Identification of source terms in a coupled age-structured population model with discontinuous diffusion coefficients
Cites Work
- Carleman estimates and controllability results for the one-dimensional heat equation with BV coefficients
- On the controllability of linear parabolic equations with an arbitrary control location for stratified media
- Semigroups of linear operators and applications to partial differential equations
- Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
- Exact controllability of the superlinear heat equation
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
- On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
- Uniqueness and Hölder stability of discontinuous diffusion coefficients in three related inverse problems for the heat equation
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