Remark on upper bound for lifespan of solutions to semilinear evolution equations in a two-dimensional exterior domain
Masahiro Ikeda,Motohiro Sobajima +1 more
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TL;DR: In this article, the authors considered the problem of finding a global-in-time solution to the initial-boundary value problem with the power type nonlinearity | u | p with 1 p ≤ 2 in a two-dimensional exterior domain (0.1) and gave a double exponential type when p = 2 : LifeSpan ( u ) ≤ exp [ exp e − 1 ].
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About: This article is published in Journal of Mathematical Analysis and Applications. The article was published on 01 Feb 2019. and is currently open access.
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On the existence and nonexistence of global solutions for certain semilinear exterior problems with nontrivial Robin boundary conditions
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On an inhomogeneous exterior Robin problems with critical nonlinearities
Meiirkhan Borikhanov,Berikbol T. Torebek +1 more
- 25 Mar 2023
TL;DR: In this article , the authors studied the large-time behavior of solutions to the Robin problem for PDEs with critical nonlinearities and provided nonexistence results for the considered problems, which complements the interesting recent results by Ikeda et al.
Weighted energy method for semilinear wave equations with time-dependent damping
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Thierry Cazenave,Alain Haraux,Yvan Martel +2 more
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