ON THE EXISTENCE AND UNIQUENESS OF CLASSICAL SOLUTION OF MIXED PROBLEM FOR GENERAL EQUATION OF A WAVE WITH CENTRAL SYMMETRY

DOI10.17654/DE023020205zbMath1484.35144OpenAlexW3108216234WikidataQ115234570 ScholiaQ115234570MaRDI QIDQ5035381

Pomégnon Komivi Siliadin, N'Gniamessan Gbenouga, Kokou Tcharie

Publication date: 21 February 2022

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de023020205

zbMATH Keywords

classical solutionDuhamel principled'Alembert's methoda priori energetic inequalitycentral symmetry's wave

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Integral representations of solutions to PDEs (35C15) Initial-boundary value problems for linear higher-order PDEs (35G16) Axially symmetric solutions to PDEs (35B07)

Cites Work

• On the solution of the mixed boundary value problem for the string equation
• A classical solution, weakened on the axis, of a centrally symmetric mixed problem for a three-dimensional hyperbolic equation in Hölder spaces
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