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 Univ
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
Anahtar Kelimeler
Global Solution, Blow Up, Petrovsky Equation, Variable-Exponent Nonlinearities
Kaynak
Electronic Journal of Differential Equations
WoS Q Değeri
Q2
