Global existence and asymptotic behavior of solutions for some nonlinear hyperbolic equation.

Ye, Yaojun

Displaying similar documents to “Global existence and asymptotic behavior of solutions for some nonlinear hyperbolic equation.”

Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.

Ye, Yaojun (2010)

Advances in Difference Equations [electronic only]

Similarity:

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]

Similarity:

Global existence and energy decay of solutions to the Cauchy problem for a wave equation with a weakly nonlinear dissipation.

Benaissa, Abbès, Mokeddem, Soufiane (2004)

Abstract and Applied Analysis

Similarity:

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

Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)

Journal of Inequalities and Applications [electronic only]

Similarity:

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

Qingyong Gao, Fushan Li, Yanguo Wang (2011)

Open Mathematics

Similarity:

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.