Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition
DOI10.1515/math-2022-0503zbMath1503.65211OpenAlexW4312360164MaRDI QIDQ2111833
Mohammed A. Aiyashi, Taki-Eddine Oussaeif, M. J. Huntul, Mohammad Tamsir
Publication date: 17 January 2023
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2022-0503
Fixed-point theorems (47H10) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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- Inverse problem for a pseudoparabolic equation with integral overdetermination conditions
- Unique solvability of the inverse problem of determination of the leading coefficient in a parabolic equation
- An inverse problem of finding a parameter in a semi-linear heat equation
- On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind
- Stability charts in the numerical approximation of partial differential equations: A review
- Determination of source parameter in parabolic equations
- A priori estimates for weak solution for a time-fractional nonlinear reaction-diffusion equations with an integral condition
- Reconstructing an unknown potential term in the third-order pseudo-parabolic problem
- Functional analysis in interdisciplinary applications, Astana, Kazakhstan, October 2--5, 2017
- The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions
- An inverse problem for pseudoparabolic equation of filtration: the existence, uniqueness and regularity
- The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
- An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
- Determination of a parameter p(t) in some quasi-linear parabolic differential equations
- Determination of a control parameter in a parabolic partial differential equation
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- An inverse problem for a pseudoparabolic operator equation
- Asymptotic behaviour of the solutions of inverse problems for parabolic equations with irregular coefficients
- An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds
- Simultaneous determination of unknown coefficients in a parabolic equation
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