Inverse problem for the nonlinear heat equation with the final overdetermination

DOI10.1016/0895-7177(95)00098-MzbMath0835.35157OpenAlexW2050323968MaRDI QIDQ1900280

E. G. Savateev, Riccardo Riganti

Publication date: 26 November 1995

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(95)00098-m

zbMATH Keywords

numerical methodexistenceuniquenessnonlinear inverse problemsone-dimensional heat equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (9)

Determination of the time-dependent reaction coefficient and the heat flux in a nonlinear inverse heat conduction problem ⋮ A note on the numerical solution of an identification problem for observing two-phase flow in capillaries ⋮ Application of the restrained optimal perturbation method to study the backward heat conduction problem ⋮ Conditional stability for an inverse problem of determining a space-dependent source coefficient in the advection-dispersion equation with Robin's boundary condition ⋮ A conditional Lipschitz stability for determining a space-dependent source coefficient in the 2D/3D advection-dispersion equation ⋮ Data compatibility and conditional stability for an inverse source problem in the heat equation ⋮ Numerical inversions for a nonlinear source term in the heat equation by optimal perturbation algorithm ⋮ An inverse problem of identifying source coefficient in solute transportation ⋮ Conditional well-posedness for an inverse source problem in the diffusion equation using the variational adjoint method

Cites Work

• A problem with time-averaged data for nonlinear parabolic equations
• Inverse problems of the determination of the coefficient in parabolic equations. I
• Inverse parabolic problems with the final overdetermination
• The Determination of a Parabolic Equation from Initial and Final Data
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
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