Well-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hindawi Limited
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, we investigate a nonlinear Petrovsky equation with variable exponent and damping terms. First, we establish the local existence using the Faedo-Galerkin approximation method under the conditions of positive initial energy and appropriate constraints on the variable exponents p⋅ and q⋅. Finally, we prove a finite-time blow-up result for negative initial energy.
Açıklama
Anahtar Kelimeler
Well-posedness, Nonlinear petrovsky equation
Kaynak
Advances in Mathematical Physics
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
2023
Sayı
Künye
Yılmaz, N., Pişkin, E. ve Çelik, E. (2023). Well-posedness and blow-up of solutions for a variable exponent nonlinear petrovsky equation. Advances in Mathematical Physics, 2023, 1-13.
