Recovery of an unknown function in hyperbolic problems with standard and non-standard boundary data

DOI10.1016/0020-7225(91)90171-XzbMath0755.35152OpenAlexW2035113493MaRDI QIDQ1197182

Fouad A. Mohamed

Publication date: 16 January 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(91)90171-x

zbMATH Keywords

existenceuniquenessmoving boundary problemsintegral boundary conditioncontinuous dependence on the given data and coefficientsconvolution boundary condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35)

Cites Work

• Parameter identification in hyperbolic and parabolic partial differential equations of cylindrical geometry from overspecified boundary data
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Identifying an unknown term in an inverse problem of linear diffusion equations
• Identification of certain physical parameters in hyperbolic boundary value problems from overspecified boundary data
• Parameter determination in parabolic partial differential equations from overspecified boundary data
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