An inverse problem for pseudoparabolic equation of filtration: the existence, uniqueness and regularity

DOI10.1080/00036811.2010.530258zbMath1237.35101OpenAlexW2096567869MaRDI QIDQ3094246

Atusi Tani, Anna Sh. Lyubanova

Publication date: 21 October 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2010.530258

zbMATH Keywords

filtrationregularity of solutionspseudoparabolic equationlocal existence and uniquenessinverse problems for PDEs

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (21)

An inverse problem for the pseudo-parabolic equation with p-Laplacian ⋮ The Regularity of the Solutions of Inverse Problems for the Pseudoparabolic Equation ⋮ On an Inverse Problem for the Stationary Equation with a Boundary Condition of the Third Type ⋮ Unnamed Item ⋮ Direct and inverse problems for time-fractional pseudo-parabolic equations ⋮ On the determination of the spatial-dependent potential coefficient in a linear pseudoparabolic equation ⋮ An inverse problem of identifying the time‐dependent potential in a fourth‐order pseudo‐parabolic equation from additional condition ⋮ Inverse problem for a pseudoparabolic equation with integral overdetermination conditions ⋮ An inverse source problem for a nonlinear pseudoparabolic equation with p-Laplacian diffusion and damping term ⋮ Inverse problem for integro-differential Kelvin-Voigt equations ⋮ An inverse problem for Kelvin–Voigt equations perturbed by isotropic diffusion and damping ⋮ Identification of a coefficient in the leading term of a pseudoparabolic equation of filtration ⋮ An inverse problem for a quasilinear elliptic equation ⋮ Reconstructing an unknown potential term in the third-order pseudo-parabolic problem ⋮ An inverse problem for pseudoparabolic equation of filtration: the stabilization ⋮ Space-dependent heat source determination problem with nonlocal periodic boundary conditions ⋮ Inverse problems for the stationary and pseudoparabolic equations of diffusion ⋮ Inverse problem for fractional order pseudo-parabolic equation with involution ⋮ The Inverse Problem for the Nonlinear Pseudoparabolic Equation of Filtration Type ⋮ Recovery of a potential coefficient in a pseudoparabolic system from nonlocal observation ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

Cites Work

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• The sobolev equation, i
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• Monotonicity and Invertibility of Coefficient-to-Data Mappings for Parabolic Inverse Problems
• An adjoint problem approach and coarse-fine mesh method for identification of the diffusion coefficient in a linear parabolic equation
• Identification of a constant coefficient in an elliptic equation
• Pseudoparabolic Partial Differential Equations
• Model equations for long waves in nonlinear dispersive systems

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