Solvability of general boundary-value problems in a half-space for inhomogeneous differential equations with constant coefficients

DOI10.1007/S10958-014-1684-7zbMath1302.35105OpenAlexW2089610670MaRDI QIDQ460560

Aleksandr L. Pavlov

Publication date: 13 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1684-7

zbMATH Keywords

multiplierFourier transformationregularization of distributionsarbitrary boundary data

Mathematics Subject Classification ID

General theory of PDEs and systems of PDEs with constant coefficients (35E20)

Cites Work

• Solvability of boundary value problems in a half-space for differential equations with constant coefficients in the class of tempered distributions
• Well-posedness of boundary-value problems for partial differential equations in the semispace in the class of generalized functions
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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