Kernels of trace operators and boundary value problems in field theory

DOI10.1007/S10958-020-05121-4zbMath1454.35058OpenAlexW3105331390MaRDI QIDQ2214346

Yulii A. Dubinskii

Publication date: 8 December 2020

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

Full work available at URL: https://doi.org/10.1007/s10958-020-05121-4

zbMATH Keywords

trace operatorsboundary value problems in field theoryfunctionals in Sobolev spaces.

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Boundary value problems for second-order elliptic systems (35J57)

Related Items (3)

Kernels of trace functionals and field-theory boundary value problems on the plane ⋮ Singular trace of 3D-vector fields and the corresponding boundary value problems ⋮ On the tangential problem of field theory

Cites Work

• On some formula in 3-D field theory and corresponding boundary value problem
• Trace theorem and applications
• On some nonstandard boundary value problems for 3D vector fields
• Some coercive problems for the system of Poisson equations

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