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Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations

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Rodríguez Bernal, Aníbal and Vidal López, Alejandro (2005) Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations. In Nonlinear elliptic and parabolic problems. A special tribute to the work of Herbert Amann. Progress in Nonlinear Differential Equations and their Applications, 64 . BIRKHAUSER VERLAG AG, Basel, Switzerland, 509 -516 . ISBN 3-7643-7266-4

Official URL: http://link.springer.com/chapter/10.1007%2F3-7643-7385-7_30


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Abstract

The authors find a growth condition on the nonlinear term f(x, u) of a nonlinear heat equation which ensures the existence of maximal and minimal equilibria that bound
asymptotically all solutions to that nonlinear heat equation.


Item Type:Book Section
Additional Information:

Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.

Uncontrolled Keywords:Nonlinear heat equations; Asymptotic behavior; Growth condition; Maximal and minimal equilibria
Subjects:Sciences > Mathematics > Topology
ID Code:17808
Deposited On:21 Jan 2013 10:18
Last Modified:12 Dec 2018 15:07

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