Article
KYUNGPOOK Math. J. 2019; 59(4): 631-649
Published online December 23, 2019
Copyright © Kyungpook Mathematical Journal.
Global Nonexistence of Solutions for a Quasilinear Wave Equation with Time Delay and Acoustic Boundary Conditions
Yong Han Kang∗, Jong-Yeoul Park
Francisco College, Daegu Catholic University, Gyeongsan-si 712-702, Republic of Korea
e-mail : yonghann@cu.ac.kr
Department of Mathematics, Pusan National University, Busan 609-735, Republic of Korea
e-mail : jyepark@pusan.ac.kr
Received: October 8, 2019; Revised: December 4, 2019; Accepted: December 5, 2019
In this paper, we prove the global nonexistence of solutions for a quasilinear wave equation with time delay and acoustic boundary conditions. Further, we establish the blow up result under suitable conditions.
Keywords: global nonexistence of solutions, quasilinear wave equation, blow up, time delay, acoustic boundary.