Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

DOI10.1016/j.cam.2015.02.019zbMath1319.35305OpenAlexW2073200977MaRDI QIDQ2352306

Rob H. De Staelen, Karel Van Bockstal, Marián Slodička

Publication date: 30 June 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.02.019

zbMATH Keywords

convergenceinverse problemreconstructiontime discretizationconvolution kernel

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (7)

Recovery of a time-dependent heat source in one-dimensional thermoelasticity of type-III ⋮ The reconstruction of a time-dependent source from a surface measurement for full Maxwell's equations by means of the potential field method ⋮ Existence and uniqueness of an inverse memory kernel for an integro-differential parabolic equation with free boundary ⋮ Identification of a memory kernel in a nonlinear integrodifferential parabolic problem ⋮ On a Finite Difference Scheme for an Inverse Integro-Differential Problem Using Semigroup Theory: A Functional Analytic Approach ⋮ Nonlocal complement value problem for a global in time parabolic equation ⋮ Application of Rothe's method to a parabolic inverse problem with nonlocal boundary condition.

Cites Work

• Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
• Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
• Convergence to a stationary state for solutions to parabolic inverse problems of reconstruction of convolution kernels.
• A model for one-dimensional, nonlinear viscoelasticity
• A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
• Nonlinear partial differential equations with applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory