On Space-Time Means and Strong Global Solutions of Nonlinear Hyperbolic Equations.
Philip Brenner (1989)
Mathematische Zeitschrift
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Philip Brenner (1989)
Mathematische Zeitschrift
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Jaan Janno (1996)
Forum mathematicum
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Duong Trong Luyen, Nguyen Minh Tri (2016)
Annales Polonici Mathematici
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The aim of this paper is to prove the existence of the global attractor of the Cauchy problem for a semilinear degenerate damped hyperbolic equation involving the Grushin operator with a locally Lipschitz nonlinearity satisfying a subcritical growth condition.
Pyo, Yong-Soo, Lee, Joo-Yeon (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Herbert Koch (1993)
Mathematische Zeitschrift
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Marie Kopáčková (1989)
Commentationes Mathematicae Universitatis Carolinae
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Arkadiusz Szymaniec (2010)
Applicationes Mathematicae
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We consider the initial-value problem for a nonlinear hyperbolic-parabolic system of three coupled partial differential equations of second order describing the process of thermodiffusion in a solid body (in one-dimensional space). We prove global (in time) existence and uniqueness of the solution to the initial-value problem for this nonlinear system. The global existence is proved using time decay estimates for the solution of the associated linearized problem. Next, we prove an energy...
P. Brenner (1988-1989)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Stanislav Pohozaev, Laurent Véron (2000)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nguyen Doan Tuan, Pham Viet Duc (2005)
Annales Polonici Mathematici
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We prove the invariance of hyperbolic imbeddability under holomorphic fiber bundles with compact hyperbolic fibers. Moreover, we show an example concerning the relation between the Kobayashi relative intrinsic pseudo-distance of a holomorphic fiber bundle and the one in its base.