On the decay and blow up of solutions for a quasilinear hyperbolic equations with nonlinear damping and source terms

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Küçük Resim

Tarih

2015

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.