Blowup of solutions for evolution equations with nonlinear damping.
Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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Wu, Shun-Tang, Tsai, Long-Yi (2006)
Applied Mathematics E-Notes [electronic only]
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P. Brenner (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Yoshihiro Shibata (1993)
Commentationes Mathematicae Universitatis Carolinae
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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.
Carlos Frederico Vasconcellos, Lucia Maria Teixeira (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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