Mixed problems in a quarter space for the wave equation with a singular oblique derivative

DOI10.2977/PRIMS/1195187869zbMath0433.35044OpenAlexW2084130405MaRDI QIDQ1139204

Hideo Soga

Publication date: 1979

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195187869

zbMATH Keywords

wave equationLopatinski conditionpseudo-differential operatorspropagation speedhyperbolic mixed problemscharacteristic casesmixed problems in a quarter spacesingular oblique derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Wave equation (35L05) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (3)

On the mixed problem with d'Alembertian in a quarter space ⋮ An application of subelliptic operators to the mixed problem for a second order hyperbolic equation ⋮ A necessary condition for the mixed problem to be c^∞well-posed

Cites Work

• A necessary condition for the well posed hyperbolic mixed problem with variable coefficients
• Problèmes mixtes pour l'équation des ondes. II
• \(E\)-well posedness for hyperbolic mixed problems with constant coefficients
• Mixed problem for the wave equation with an oblique derivative boundary condition
• Asymptotic solution of some diffraction problems
• Characterization of the well-posed mixed problem for wave equation in a quarter space
• A Class of Bounded Pseudo-Differential Operators

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