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

Ye, Yaojun

Displaying similar documents to “Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.”

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

Ye, Yaojun (2010)

Journal of Inequalities and Applications [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:

A transmission problem for beams on nonlinear supports.

Ma, To Fu, Portillo Oquendo, Higidio (2006)

Boundary Value Problems [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.

On the strongly damped wave equation with nonlinear damping and source terms.

Yu, Shengqi (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Similarity:

Uniform stabilization of solutions to a quasilinear wave equation with damping and source terms

Mohammed Aassila (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.

On the global solvability of solutions to a quasilinear wave equation with localized damping and source terms.

Cabanillas Lapa, E., Huaringa Segura, Z., Leon Barboza, F. (2005)

Journal of Applied Mathematics

Similarity:

Exponential stability for the wave equation with weak nonmonotone damping.

Martinez, P., Vancostenoble, J. (2000)

Portugaliae Mathematica

Similarity: