Publication: Extremal equilibria and asymptotic behavior of parabolic nonlinear reaction-diffusion equations
Loading...
Files
Full text at PDC
Publication Date
2005
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
BIRKHAUSER VERLAG AG
Citations
Exportar
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.
Description
Conference on Nonlinear Elliptic and Parabolic Problems. Zurich, SWITZERLAND. JUN 28-30, 2004.
UCM subjects
Unesco subjects
Keywords
Citation
H. Amann. Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review, 18(4):620–709, 1976.
H. Berestycki and P.L. Lions. Some applications of the method of super and subsolutions. In Bifurcation and nonlinear eigenvalue problems (Proc., Session, Univ. Paris XIII, Villetaneuse, 1978), volume 782 of Lecture Notes in Math., pages 16–41. Springer, Berlin, 1980.
H. Brézis and Luc Oswald. Remarks on sublinear elliptic equations. Nonlinear Anal., Theory Methods Appl., 10:55–64, 1986.
D.G. de Figueiredo. Positive solutions of semilinear elliptic problems. In Differential equations (São Paulo, 1981), volume 957 of Lecture Notes in Math., pages 34–87. Springer, Berlin, 1982.
D. Henry. Geometric Theory of Semilinear Parabolic Equations. Number 840 in Lecture Notes in Mathematics. Springer-Verlag, 1981.
P.L. Lions. On the existence of positive solutions of semilinear elliptic equations. SIAM Review, 24(4):441–467, 1982.
A. Lunardi. Analytic semigroups and optimal regularity in parabolic problems. Progress in Nonlinear Differential Equations and their Applications, 16. Birkhäuser Verlag, Basel, 1995.
I. Stakgold and L.E. Payne. Nonlinear problems in nuclear reactor analysis. In Nonlinear problems in the physical sciences and biology (Proc. Battelle Summer Inst., Seattle, Wash., 1972), volume 322 of Lecture Notes in Math., pages 298–307. Springer, Berlin, 1979.