Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
From MaRDI portal
Publication:2068782
DOI10.3934/eect.2020094zbMath1481.35400arXiv2003.07884OpenAlexW3011981250MaRDI QIDQ2068782
Omar Oukdach, Salah-Eddine Chorfi, Lahcen Maniar, El Mustapha Ait Ben Hassi
Publication date: 20 January 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07884
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)
Related Items
Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions, Stackelberg-Nash null controllability of heat equation with general dynamic boundary conditions, An inverse problem of radiative potentials and initial temperatures in parabolic equations with dynamic boundary conditions, Null controllability for semilinear heat equation with dynamic boundary conditions, Numerical identification of initial temperatures in heat equation with dynamic boundary conditions, Impulse null approximate controllability for heat equation with dynamic boundary conditions, Identification of source terms in heat equation with dynamic boundary conditions, Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions, Boundary null controllability for the heat equation with dynamic boundary conditions, Time and norm optimal controls for the heat equation with dynamical boundary conditions, Identification of source terms in wave equation with dynamic boundary conditions, Finite-time stabilization and Impulse control of heat equation with dynamic boundary conditions, The cost of approximate controllability of heat equation with general dynamical boundary conditions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse problems for parabolic equations with interior degeneracy and Neumann boundary conditions
- Heat equation with dynamical boundary conditions of reactive-diffusive type
- Null controllability for a heat equation with dynamic boundary conditions and drift terms
- Representation and control of infinite dimensional systems
- Partial differential equations. I: Basic theory
- The heat equation with generalized Wentzell boundary condition.
- Carleman estimates for parabolic equations with interior degeneracy and Neumann boundary conditions
- Physiologically structured populations with diffusion and dynamic boundary conditions
- Exact controllability for semilinear parabolic equations with Neumann boundary conditions
- Null controllability for parabolic equations with dynamic boundary conditions
- Derivation and physical interpretation of general boundary conditions
- Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application
- Determination of source terms in a degenerate parabolic equation
- Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
- Carleman estimate with second large parameter for second order hyperbolic operators in a Riemannian manifold and applications in thermoelasticity cases
- On the determination of the nonlinearity from localized measurements in a reaction–diffusion equation
- Carleman estimates for parabolic equations and applications
- Inverse problems and Carleman estimates
- Lipschitz stability in inverse parabolic problems by the Carleman estimate
- Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems
- Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
- Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
- Inverse source problem for a transmission problem for a parabolic equation
- Inverse problems for partial differential equations
- Riemannian geometry and geometric analysis