On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms
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Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springeropen
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this work we investigate the global existence, decay, and blow up of solutions for a quasilinear hyperbolic equation. We prove the decay estimates of the energy function by using Nakao's inequality. Also, we obtain the blow up of solutions and lifespan estimates in three different ranges of the initial energy.
Açıklama
Anahtar Kelimeler
Decay, Blow up, Quasilinear hyperbolic equation, Nonlinear damping and source terms
Kaynak
Boundary Value Problems
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
Sayı
Künye
Pişkin, E. (2015). On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms. Boundary Value Problems, 2015(1), 1-14.