Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions

DOI10.2298/FIL1803809SzbMath1499.35313WikidataQ129459845 ScholiaQ129459845MaRDI QIDQ5023451

No author found.

Publication date: 21 January 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

inverse problemnonlocal boundary conditionsheat sourceFourier methodintegral overdetermination conditionregular but not strengthened regular conditions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Initial value problems for second-order parabolic equations (35K15)

Related Items (5)

On the numerical solutions of some identification problems for one- and multidimensional parabolic equations backward in time ⋮ Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem ⋮ Properties in L p of root functions for a nonlocal problem with involution ⋮ Source Identification Problem for a Parabolic Equation with Multipoint Nonlocal Boundary Condition ⋮ The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a class of problems of determining the temperature and density of heat sources given initial and final temperature
• Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions
• On the determination of the right-hand side in a parabolic equation
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• On the theory of antiprior estimates in the sense of V.A. Il'in
• The use of anti-a priori estimates in the theory of bases in the space \(L_2\)
• Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions
• One nonlocal problem of determination of the temperature and density of heat sources
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases
• Determination of a time-dependent heat source from nonlocal boundary conditions
• Determination of a spacewise dependent heat source
• The boundary-element method for the determination of a heat source dependent on one variable
• An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
• Direct and inverse problems for the heat equation with a dynamic-type boundary condition
• Determination of a source term in a heat equation
• Identifying an unknown source term in a heat equation
• Determination of a control parameter in a parabolic partial differential equation
• Reconstruction of spatial heat sources in heat conduction problems
• Determination of an Unknown Heat Source from Overspecified Boundary Data

This page was built for publication: Determination of a time-dependent heat source under not strengthened regular boundary and integral overdetermination conditions