Well-posedness of the right-hand side identification problem for a parabolic equation

DOI10.1007/s11253-014-0920-0zbMath1490.35537OpenAlexW1997732091MaRDI QIDQ2259512

Allaberen Ashyralyev, Abdullah Said Erdogan

Publication date: 4 March 2015

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165130

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) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP ⋮ On Source Identification Problem for Telegraph Differential Equations ⋮ Identification problem for telegraph-parabolic equations ⋮ Source identification problems for hyperbolic differential and difference equations ⋮ Source identification problems for hyperbolic differential and difference equations ⋮ A fourth order approximation of the Neumann type overdetermined elliptic problem ⋮ A Space-Dependent Source Identification Problem for Hyperbolic-Parabolic Equations ⋮ Finite difference method for Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The existence and behavior of solutions for nonlocal boundary problems
• Multipoint problems for degenerate abstract differential equations
• Uniqueness of a solution of the inverse problem for the evolution equation and application to the transport equation
• Direct and inverse problems for a differential equation in a space with a cone
• On well-posedness of the nonlocal boundary value problem for parabolic difference equations
• Crank-Nicolson finite difference method for two-dimensional diffusion with an integral condition
• Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation
• On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem
• On a class of multitime evolution equations with nonlocal initial conditions
• Maximal \(L^{p}\) regularity for nonautonomous parabolic equations in extrapolation spaces
• Numerical methods for solving inverse problems of mathematical physics.
• On the problem of determining the parameter of a parabolic equation
• A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications
• Backward Euler Scheme, Singular Hölder Norms, and Maximal Regularity for Parabolic Difference Equations
• Numerical solutions of some parabolic inverse problems
• On approximation of inverse problems for abstract elliptic problems
• Generic well-posedness of a linear inverse parabolic problem with diffusion parameters
• A Parabolic Inverse Problem Arising in a Mathematical Model for Chromatography
• Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations
• On the determination of unknown source in the heat equation with nonlocal boundary conditions
• Generic well-posedness of an inverse parabolic problem - the Hölder-space approach
• Identification problems for parabolic delay differential equations with measurement on the boundary
• Inverse problems for partial differential equations
• Inverse problems for partial differential equations

This page was built for publication: Well-posedness of the right-hand side identification problem for a parabolic equation