Global existence, uniqueness, and asymptotic behavior of solution for -Laplacian type wave equation.

Chen, Caisheng; Yao, Huaping; Shao, Ling

Displaying similar documents to “Global existence, uniqueness, and asymptotic behavior of solution for $p$ -Laplacian type wave equation.”

Initial boundary value problem for generalized Zakharov equations

Shujun You, Boling Guo, Xiaoqi Ning (2012)

Applications of Mathematics

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This paper considers the existence and uniqueness of the solution to the initial boundary value problem for a class of generalized Zakharov equations in $(2 + 1)$ dimensions, and proves the global existence of the solution to the problem by a priori integral estimates and the Galerkin method.

On a generalized nonlinear equation of Schrödinger type.

Feng, Xueshang (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

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Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation.

Ye, Yaojun (2010)

Journal of Inequalities and Applications [electronic only]

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Boundary stabilization of memory type for the porous-thermo-elasticity system.

Soufyane, Abdelaziz, Afilal, Mounir, Chacha, Mama (2009)

Abstract and Applied Analysis

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Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation

Qingyong Gao, Fushan Li, Yanguo Wang (2011)

Open Mathematics

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In this paper, we consider the nonlinear Kirchhoff-type equation $u_{t t} + M ({∥D^{m} u (t)∥}_{2}^{2}) {(- Δ)}^{m} u + {|u_{t}|}^{q - 2} u_{t} = {|u_{t}|}^{p - 2} u$ with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.