On mixed boundary value problems for sets of partial differential equations with constant coefficients in semi-spaces

DOI10.1134/S1995080218080061zbMath1409.35151OpenAlexW2897023377MaRDI QIDQ1711359

I. E. Pleshchinskaya, Nikolai Pleshchinskii

Publication date: 17 January 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218080061

zbMATH Keywords

boundary integral equationsolvability conditionsequations for complex amplitudes

Mathematics Subject Classification ID

Boundary value problems for linear first-order PDEs (35F15) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

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Maxwell equations in anisotropic half-space and integral equations of problem of electromagnetic wave diffraction by screen ⋮ The over-determined boundary value problems and convolution type integral transformations ⋮ Wave impedances of elastic stratified medium ⋮ On over-determined boundary value problems for hyperbolic equations ⋮ Integral equations of coordinate diffraction problems of elastic waves in stratified media

Cites Work

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• Mixed boundary value problem on hypersurfaces
• Over-determined boundary value problems for PDE and their application in the wave propagation theory
• PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS
• Boundary Integral Equations for Mixed Boundary Value Problems inR3
• An Integral Equation Method for Solving Mixed Boundary Value Problems

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