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http://dx.doi.org/10.4134/JKMS.j210364

GLOBAL NONEXISTENCE FOR THE WAVE EQUATION WITH BOUNDARY VARIABLE EXPONENT NONLINEARITIES  

Ha, Tae Gab (Department of Mathematics and Institute of Pure and Applied Mathematics Jeonbuk National University)
Park, Sun-Hye (Office for Education Accreditation Pusan National University)
Publication Information
Journal of the Korean Mathematical Society / v.59, no.1, 2022 , pp. 205-216 More about this Journal
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;
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