Determination of a time-dependent diffusivity in a nonlinear parabolic problem

DOI10.1080/17415977.2014.900615zbMath1327.35451OpenAlexW1976676276MaRDI QIDQ2938567

Marián Slodička, Karel Van Bockstal

Publication date: 14 January 2015

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1854/LU-5759539

zbMATH Keywords

convergenceinverse problemsparameter identificationnonlocal boundary conditiontime discretizationMinty-Browdernonlinear parabolic initial boundary value problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (3)

On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ Identification of a memory kernel in a nonlinear integrodifferential parabolic problem ⋮ Thermal imaging of time-varying longitudinal defects in the internal coating of a tube

Cites Work

• Mathematical model and numerical method for spontaneous potential log in heterogeneous formations
• Multi-parameter identification and applications in well-logging
• Determination of an unknown diffusion coefficient in a semilinear parabolic problem
• Determination of a time-dependent diffusivity from nonlocal conditions
• The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
• Finite Element Methods for Maxwell's Equations

This page was built for publication: Determination of a time-dependent diffusivity in a nonlinear parabolic problem