Classical solution of the first mixed problem for the wave equation in the cylindrical domain

MaRDI QIDQ6642345

I. I. Stolyarchuk, V. I. Korzyuk

Publication date: 22 November 2024

Published in: Doklady Natsional'noĭ Akademii Nauk Belarusi (Search for Journal in Brave)

zbMATH Keywords

wave equationmatching conditionsclassical solutionmixed problemcharacteristics methodsphere averaging operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs of mixed type (35M10) Integral representations of solutions to PDEs (35C15)

Cites Work

• Classical solution of the first mixed problem for the Klein-Gordon-Fock equation in a half-strip
• Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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