Mixed boundary value problems for the Helmholtz equation in arbitrary 2D-sectors

DOI10.1515/gmj-2013-0031zbMath1279.35014arXiv1503.04578OpenAlexW2001301968MaRDI QIDQ2854190

Roland Duduchava, Medea Tsaava

Publication date: 17 October 2013

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04578

zbMATH Keywords

boundary value problemsboundary integral equationsHelmholtz equationsymbolBanach algebra of operatorsmixed boundary conditionBessel potential spacespotential methodsmeromorphic kernelsMellin convolution equationsFredholm criteria

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Pseudodifferential operators (47G30)

Related Items (6)

Mellin convolution operators in Bessel potential spaces ⋮ \(L^p\)-theory of boundary integral operators for domains with unbounded smooth boundary ⋮ Transmission problems for conical and quasi-conical at infinity domains ⋮ Mixed boundary value problems for the Helmholtz equation in a model 2D angular domain ⋮ An explicit formula for the nonstationary diffracted wave scattered on a NN-wedge ⋮ Integral equations of diffraction problems with unbounded smooth obstacles

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