J. Korean Math. Soc. 2022; 59(1): 205-216
Published online January 1, 2022 https://doi.org/10.4134/JKMS.j210364
Copyright © The Korean Mathematical Society.
Tae Gab Ha, Sun-Hye Park
Jeonbuk National University; Pusan National University
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
2022 © The Korean Mathematical Society. Powered by INFOrang Co., Ltd