- Tytuł:
- Remarks on global solutions to the initial-boundary value problem for quasilinear degenerate parabolic equations with a nonlinear source term
- Autorzy:
- Nakao, Mitsuhiro
- Powiązania:
- https://bibliotekanauki.pl/articles/255617.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
degenerate quasilinear parabolic equation
nonlinear source term
Moser's method - Opis:
- We give an existence theorem of global solution to the initial-boundary value problem for [formula] under some smallness conditions on the initial data, where [formula] is a positive function of [formula] admitting the degeneracy property δ (0) = 0. We are interested in the case where [formula] has no exponent m ≥ 0 such that [formula]. A typical example is [formula]. ƒ (u) is a function like [formula] A decay estimate for [formula] is also given.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 3; 395-414
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł