Unique solvability of the inverse problem for the heat equation with nonlocal boundary conditions

DOI10.1007/S10598-007-0004-1zbMath1111.35124OpenAlexW1978515040MaRDI QIDQ876598

N. E. Zubov

Publication date: 19 April 2007

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

Full work available at URL: https://doi.org/10.1007/s10598-007-0004-1

zbMATH Keywords

uniquenessheat conductiongradient methodsource identification

Mathematics Subject Classification ID

Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

A numerical solution of a two-dimensional IHCP

Cites Work

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• Difference schemes for one nonclassical problem
• Asymptotics of the solution to the Dirichlet problem for elliptic equations
• On the numerical solution of the diffusion equation with a nonlocal boundary condition
• An inverse problem for an abstract evolution equation
• Mixed problem with integral conditions for a certain class of hyperbolic equations
• An inverse problem for the heat equation

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