Over-determined boundary value problem method in the theory of mixed problems for acoustic equations in spherical regions

DOI10.1134/S1995080218080073zbMath1409.35152OpenAlexW2895854390WikidataQ129073379 ScholiaQ129073379MaRDI QIDQ1711360

I. E. Pleshchinskaya, D. N. Tumakov, 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/s1995080218080073

zbMATH Keywords

spherical coordinates

Mathematics Subject Classification ID

Overdetermined boundary value problems for PDEs and systems of PDEs (35N25) Boundary value problems for systems of linear first-order PDEs (35F45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffraction of an electromagnetic wave by gaps between plates
• An over-determined boundary problem for the Helmholtz equation in a semi-infinite domain with a curvilinear boundary
• Partially overdetermined elliptic boundary value problems
• The scattering of a plane sound wave by an elastic sphere with an inhomogeneous coating
• Acoustic scattering by a sphere in the time domain
• Remarks on an overdetermined boundary value problem
• A new approach to investigation of Maxwell equations in spherical coordinates
• Over-determined boundary value problems for PDE and their application in the wave propagation theory
• Scattering of a Plane Transverse Wave by a Spherical Obstacle in an Elastic Medium
• Overdetermined boundary value problems with strongly nonlinear elliptic PDE
• Point source excitation of a layered sphere: direct and far-field inverse scattering problems
• Waves on a Spherical Shell
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Over-determined boundary value problem method in the theory of mixed problems for acoustic equations in spherical regions