Kernels of trace functionals and field-theory boundary value problems on the plane

DOI10.1134/S0081543821010089zbMATH Open1465.35192OpenAlexW3159285027MaRDI QIDQ828592

Yulii A. Dubinskii

Publication date: 5 May 2021

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543821010089

zbMATH Keywords

existence and uniqueness theoremsnonstandard boundary value problemssystem of Poisson equations

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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
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• Trace theorem and applications
• Kernels of trace operators and boundary value problems in field theory
• On some nonstandard boundary value problems for 3D vector fields
• Some coercive problems for the system of Poisson equations

Related Items (2)

Singular trace of 3D-vector fields and the corresponding boundary value problems ⋮ Nonstandard boundary value problems of theory of two-dimensional vector fields

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