- Tytuł:
- Existence and decay of finite energy solutions for semilinear dissipative wave equations in time-dependent domains
- Autorzy:
- Nakao, Mitsuhiro
- Powiązania:
- https://bibliotekanauki.pl/articles/1397374.pdf
- Data publikacji:
- 2021
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
energy decay
global existence
semilinear wave equation
noncylindrical domains - Opis:
- We consider the initial-boundary value problem for semilinear dissipative wave equations in noncylindrical domain $\cup_{0 \leq t \leq \infty} \Omega(t) \times \{t\} \subset \mathbb{R}^N \times \mathbb{R}$. We are interested in finite energy solution. We derive an exponential decay of the energy in the case Ω(t) is bounded in $\mathbb{R}^N$ and the estimate $\int_0^\infty E(t)dt \leq C(E(0), ||u(0)||) < \infty $ in the case Ω (t) is unbounded. Existence and uniqueness of finite energy solution are also proved.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 6; 725-736
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł