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:
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Aissa, N., Hamroun, D. (2004)
Portugaliae Mathematica. Nova Série
Similarity:
Benaissa, Abbès, Mokeddem, Soufiane (2004)
Abstract and Applied Analysis
Similarity:
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
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.
Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
Similarity:
Benaissa, Abbes, Messaoudi, Salim A. (2002)
Journal of Applied Mathematics
Similarity:
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
Similarity:
In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Ademir Fernando Pazoto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
This work is devoted to prove the exponential decay for the energy of solutions of the Korteweg-de Vries equation in a bounded interval with a localized damping term. Following the method in Menzala (2002) which combines energy estimates, multipliers and compactness arguments the problem is reduced to prove the unique continuation of weak solutions. In Menzala (2002) the case where solutions vanish on a neighborhood of both extremes of the bounded interval where equation holds was solved...