Об одной трeхмерной задаче Гурса нового типа для гиперболического уравнения с разрывными коэффициентами

DOI10.14498/VSGTU691zbMath1449.35472OpenAlexW2330452270MaRDI QIDQ5221773

Il'Gar Gurdam Mamedov

Publication date: 3 April 2020

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu691

zbMATH Keywords

hyperbolic equationequation with discontinuous coefficients3D Goursat problem

Mathematics Subject Classification ID

Boundary value problems for PDEs with pseudodifferential operators (35S15) Higher-order hyperbolic equations (35L25) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Pseudodifferential operators (47G30)

Related Items (1)

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives

Cites Work

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• Construction of the Riemann function for the Bianchi equation in an \(n\)-dimensional space
• The Goursat problem for a three-dimensional equation with higher derivative
• Pseudoparabolic equation of the third order
• On a first boundary value problem for hyperbolic equations in the plane
• The three-dimensional generalized Goursat problem for a third-order equation and related general two-dimensional Volterra integral equations of the first kind
• A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation

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