On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind

DOI10.1007/S10958-014-2206-3zbMath1327.35443OpenAlexW2029073366MaRDI QIDQ891706

N. E. Zubov

Publication date: 17 November 2015

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-014-2206-3

zbMATH Keywords

classical solutionFourier methodinverse boundary-value problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Higher-order parabolic equations (35K25) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (8)

An inverse problem for investigating the time-dependent coefficient in a higher-order equation ⋮ An inverse boundary value problem for a two-dimensional pseudo-parabolic equation of third order ⋮ On some nonlocal inverse boundary problem for partial differential equations of third order ⋮ On an inverse problem for a nonlinear third order in time partial differential equation ⋮ Reconstructing an unknown potential term in the third-order pseudo-parabolic problem ⋮ An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation ⋮ Space-dependent heat source determination problem with nonlocal periodic boundary conditions ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

Cites Work

• On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
• Inverse boundary value problem for second order elliptic equation with additional integral condition
• Effects of correlated disturbances of some regression problems
• Inverse Problem with Free Boundary for Heat Equation
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