Blowup in solutions of a quasilinear wave equation with variable‐exponent nonlinearities |
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| Authors: | Salim A Messaoudi Ala A Talahmeh |
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| Institution: | Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia |
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| Abstract: | We consider, in this paper, the following nonlinear equation with variable exponents: ![]() where a,b>0 are constants and the exponents of nonlinearity m,p, and r are given functions. We prove a finite‐time blow‐up result for the solutions with negative initial energy and for certain solutions with positive energy. |
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| Keywords: | blowup nonlinear damping Sobolev spaces with variable exponents |
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