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Global nonexistence for logarithmic wave equations with nonlinear damping and distributed delay terms |
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| Institution: | School of Mathematics, Jilin University, Changchun 130012, PR China;Department of Mathematics, College of Sciences, Shiraz University, Shiraz, 71467-13565, Iran;School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006, PR China;School of Mathematics, Jilin University, Changchun 130012, PR China;School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, 030006, China |
| Abstract: | This paper is concerned with global nonexistence of solutions for a logarithmic wave equation with nonlinear damping and distributed delay terms. Due to the simultaneous presence of nonlinear damping and logarithmic source terms, we have difficulty in use of the concavity method. Applying the energy estimates, we show the global nonexistence of solutions with not only non-positive initial energy but also positive initial energy. |
| Keywords: | Global nonexistence Distributed delay Logarithmic nonlinearity Nonlinear dissipation |
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