A priori bounds for a semilinear wave equation
Rabinowitz, Paul H.
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Displaying similar documents to “Forced vibrations of wave equations with non-monotone nonlinearities”
A priori bounds for a semilinear wave equation
Weak solutions to a nonlinear variational wave equation with general data
Ping Zhang, Yuxi Zheng (2005)
Annales de l'I.H.P. Analyse non linéaire
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Global solutions and exponential decay for a nonlinear coupled system of beam equations of Kirchhoff type with memory in a domain with moving boundary.
Santos, M.L., Soares, U.R. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Weak solutions to a nonlinear variational wave equation and some related problems
Ping Zhang (2006)
Applications of Mathematics
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In this paper we present some results on the global existence of weak solutions to a nonlinear variational wave equation and some related problems. We first introduce the main tools, the Young measure theory and related compactness results, in the first section. Then we use the Young measure theory to prove the global existence of dissipative weak solutions to the asymptotic equation of the nonlinear wave equation, and comment on its relation to Camassa-Holm equations in the second...