First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain

DOI10.1134/S0012266116060070zbMath1348.35133WikidataQ115251283 ScholiaQ115251283MaRDI QIDQ311214

A. A. Mandrik, V. I. Korzyuk

Publication date: 29 September 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

method of characteristics

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Classical solutions to PDEs (35A09)

Cites Work

• Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operator
• Solution of the Cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables
• A boundary value problem for a hyperbolic equation with a third-order wave operator
• Estimates of the Friedrichs-Lewy type for mixed problems in the theory of linear hyperbolic differential equations in two independent variables
• Existence Proofs for Mixed Problems for Hyperbolic Differential Equations in Two Independent Variables by Means of the Continuity Method.
• Estimates of the Friedrichs -Lewy type for a hyperbolic equation with three characteristics
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