Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Texas State University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we consider a nonlinear plate (or beam) Petrovsky equation with strong damping and source terms with variable exponents. By using the Banach contraction mapping principle we obtain local weak solutions, under suitable assumptions on the variable exponents p(.) and q(.). Then we show that the solution is global if p(.) >= q(.). Also, we prove that a solution with negative initial energy and p(.) < q(.) blows up in finite time.
Açıklama
WOS:000614070700001
Anahtar Kelimeler
Global solution, Blow up, Petrovsky equation, Variable-exponent nonlinearities
Kaynak
Electronic Journal of Differantial Equations
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
Sayı
Künye
Antontsev, S., Ferreira, J, ve Pişkin, E. (2021). Existence and blow up of solutions for a strongly damped Petrovsky equation with variable-exponent nonlinearities. Electronic Journal of Differantial Equations.
