Stable determination of coefficients in semilinear parabolic system with dynamic boundary conditions
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Publication:5043666
DOI10.1088/1361-6420/ac91edzbMath1498.35611arXiv2208.01114OpenAlexW4295792303MaRDI QIDQ5043666
Lahcen Maniar, Salah-Eddine Chorfi, El Mustapha Ait Ben Hassi
Publication date: 6 October 2022
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.01114
inverse problemLipschitz stabilityCarleman estimatedynamic boundary conditionssemilinear parabolic systems
Inverse problems for PDEs (35R30) Observability (93B07) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
- Unnamed Item
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- Inverse problem for a nonlinear parabolic equation with nonsmooth periodic coefficients
- Turing instabilities in a mathematical model for signaling networks
- Null controllability for a heat equation with dynamic boundary conditions and drift terms
- Global existence of solutions to volume-surface reaction diffusion systems with dynamic boundary conditions.
- The heat equation with generalized Wentzell boundary condition.
- Physiologically structured populations with diffusion and dynamic boundary conditions
- Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions
- Publisher correction to: ``Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer
- The cost of approximate controllability of heat equation with general dynamical boundary conditions
- Lipschitz stability for an inverse source problem in anisotropic parabolic equations with dynamic boundary conditions
- Analysis and numerical solution of coupled volume-surface reaction-diffusion systems with application to cell biology
- Null controllability for parabolic equations with dynamic boundary conditions
- Derivation and physical interpretation of general 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
- Simultaneous reconstruction of the initial temperature and heat radiative coefficient
- Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems
- Global Existence of Solutions to Reaction-Diffusion Systems with Mass Transport Type Boundary Conditions
- Nonlinear analytic semiflows
- Inverse problem for a Cahn–Hilliard type system modeling tumor growth
- Inverse problem for a parabolic system with two components by measurements of one component
- Inverse problems for a 2 × 2 reaction–diffusion system using a Carleman estimate with one observation
- Stability of Discontinuous Diffusion Coefficients and Initial Conditions in an Inverse Problem for the Heat Equation
- Inverse problem for a parabolic equation with space-periodic boundary conditions by a Carleman estimate
- Hölder stability of an inverse problem for a strongly coupled reaction-diffusion system
- Identification of two coefficients with data of one component for a nonlinear parabolic system
- Uniqueness and stability in an inverse problem for the Schr dinger equation
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
- An inverse problem for Schrödinger equations with discontinuous main coefficient
- Inverse problems for partial differential equations
- Parabolic equations with dynamic boundary conditions and drift terms
- Identification of source terms in heat equation with dynamic boundary conditions
