Journal of the
Korean Mathematical Society
JKMS

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

Article

HOME ALL ARTICLES View

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

Online first article November 26, 2021      Printed January 1, 2022

https://doi.org/10.4134/JKMS.j210364

Copyright © The Korean Mathematical Society.

Global nonexistence for the wave equation with boundary variable exponent nonlinearities

Tae Gab Ha, Sun-Hye Park

Jeonbuk National University; Pusan National University

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

Supported by: T.~G.~Ha was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1I1A3A01051714). S.-H.~Park was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2020R1I1A3066250).

Stats or Metrics

Share this article on :

Related articles in JKMS