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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 23, Issue 2, Pages 205 - 220 (November 2020)
http://dx.doi.org/10.17654/DE023020205

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

Pomégnon Komivi Siliadin, N’gniamessan Gbenouga and Kokou Tcharie

Abstract:

In this paper, we prove the existence and uniqueness of the classical solution of the mixed problem for the general equation of a wave with central symmetry.

Keywords and phrases:

central symmetry’s wave, classical solution, a priori energetic inequality, D’Alembert’s method, Duhamel principle.

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