On the Existence, Decay and Blowup of Solutions for a Quasilinear Hyperbolic Equations Involving the Weighted p-Laplacian with Source Terms

被引：0

作者：

Bounaama, Abir ^{[1
]}

Maouni, Messaoud ^{[1
]}

Ouaoua, Amar ^{[1
]}

机构：

[1] Univ 20 August 1955 Skikda, Lab Appl Math & Hist & Didact Math LAMAHIS, BP 26 Route El Hadaiek, Skikda 21000, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2023年 / 20卷 / 02期

关键词：

Blowup; energy function; quasilinear hyperbolic equation; source terms; weighted p-laplacian; WAVE-EQUATION; GLOBAL-SOLUTIONS; UNIFORM DECAY; NONEXISTENCE;

D O I：

10.1007/s00009-023-02283-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study the global existence, decay and blowup of solutions for a quasilinear hyperbolic equations involving the weighted p-laplacian with nonlinear source terms and show some numerical simulations. We prove the global existence and the decay of the energy by using Nakao's inequality, then we get the finite time blowup of solutions.

引用

页数：16

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