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 - San Marcos

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. © 2021 Texas State University.

Açıklama

Anahtar Kelimeler

Blow Up, Global Solution, Petrovsky Equation, Variable-Exponent Nonlinearities

Kaynak

Electronic Journal of Differential Equations

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

2021

Sayı

Künye