- Tytuł:
- Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity
- Autorzy:
-
Cordeiro, Sebastião
Raposo, Carlos
Ferreira, Jorge
Rocha, Daniel
Shahrouzi, Mohammad - Powiązania:
- https://bibliotekanauki.pl/articles/29519633.pdf
- Data publikacji:
- 2024
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
viscoelastic equation
dispersive term
logarithmic nonlinearity
local existence - Opis:
- This paper concerns a viscoelastic Kirchhoff-type equation with the dispersive term, internal damping, and logarithmic nonlinearity. We prove the local existence of a weak solution via a modified lemma of contraction of the Banach fixed-point theorem. Although the uniqueness of a weak solution is still an open problem, we proved uniqueness locally for specifically suitable exponents. Furthermore, we established a result for local existence without guaranteeing uniqueness, stating a contraction lemma.
- Źródło:
-
Opuscula Mathematica; 2024, 44, 1; 19-47
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł