Global nonexistence for the wave equation with boundary variable exponent nonlinearities

Tae Gab Ha; Sun-Hye Park

doi:10.4134/JKMS.j210364

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2022; 59(1): 205-216

Published online January 1, 2022 https://doi.org/10.4134/JKMS.j210364

Global nonexistence for the wave equation with boundary variable exponent nonlinearities

Tae Gab Ha, Sun-Hye Park

Jeonbuk National University; Pusan National University

Abstract

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Abstract

This paper deals with a nonlinear wave equation with boundary damping and source terms of variable exponent nonlinearities. This work is devoted to prove a global nonexistence of solutions for a nonlinear wave equation with nonnegative initial energy as well as negative initial energy.

Keywords: Global nonexistence, boundary variable exponent nonlinearity

MSC numbers: Primary 35L05, 35A01, 35B44