Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains
We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain \(\bigcup_{0\leq t \lt\infty} \Omega(t)\times\{t\} \subset \mathbb{R}^N\times \mathbb{R}\). We are interested in finite energy solution. We derive an exponential decay of the energy in t...
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2020-12-01
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| Series: | Opuscula Mathematica |
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| Online Access: | https://www.opuscula.agh.edu.pl/vol40/6/art/opuscula_math_4040.pdf |