Inverse time-dependent source problem for the heat equation with a nonlocal Wentzell-Neumann boundary condition

DOI10.3934/nhm.2023076OpenAlexW4387756162MaRDI QIDQ6186166

Luciano Bedin, Leonardo S. Borges, Fermin S. Viloche Bazán, Mansur I. Ismailov

Publication date: 2 February 2024

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2023076

zbMATH Keywords

generalized cross validationMorozov's discrepancy principleWentzell boundary conditionsinverse heat transferminimum product rule

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Cites Work

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• A parabolic inverse source problem with a dynamical boundary condition
• Goldstein-Wentzell boundary conditions: recent results with Jerry and Gisèle Goldstein
• Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
• Inverse source problem for heat equation with nonlocal Wentzell boundary condition
• Automatic stopping rule for iterative methods in discrete ill-posed problems
• Determination of source parameter in parabolic equations
• Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
• Polynomial decay rate for dissipative wave equations with mixed boundary conditions
• A neural network method for time-dependent inverse source problem with limited-aperture data
• An inverse time-dependent source problem for the heat equation with a non-classical boundary condition
• Maximal regularity, analytic semigroups, and dynamic and general Wentzell boundary conditions with a diffusion term on the boundary
• On the convergence of spectral expansions of functions for problems with a spectral parameter in a boundary condition
• Dynamic boundary conditions and the Carslaw-Jaeger constitutive relation in heat transfer
• On Simultaneous Identification of the Shape and Generalized Impedance Boundary Condition in Obstacle Scattering
• Evolution equations with dynamic boundary conditions
• Determination of a control parameter in a parabolic partial differential equation
• An inverse problem for finding the lowest term of a heat equation with Wentzell–Neumann boundary condition
• Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions
• Extension of GKB‐FP algorithm to large‐scale general‐form Tikhonov regularization
• On Diffusion in a Fractured Medium
• Diffusion Processes in One Dimension
• A mixed finite-element method for elliptic operators with Wentzell boundary condition
• Numerical Methods for Ordinary Differential Equations
• Identification of source terms in heat equation with dynamic boundary conditions

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