Correctness of general boundary-value problems in a half-space for differential equations with constant coefficients in the classes of functions of power growth and decay

DOI10.1007/s10958-011-0258-1zbMath1282.35137OpenAlexW2083236359MaRDI QIDQ392931

Aleksandr L. Pavlov

Publication date: 15 January 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-011-0258-1

zbMATH Keywords

Fourier transformationdistributions of slow growthmultiplicator

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Boundary value problems for linear higher-order PDEs (35G15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

The nonlocal boundary problem with perturbations of antiperiodicity conditions for the eliptic equation with constant coefficients

Cites Work

• 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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