Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions
作者： P. Quittner , M. Chipot , M. Fila
DOI: 10.5167/UZH-22758
关键词: Nonlinear boundary conditions 、 Mathematics 、 Parabolic partial differential equation 、 Uniform boundedness 、 Convergence (routing) 、 Mathematical analysis
摘要:
sci-hub.st 参考文章(17)
B. Mcleod, A. Friedman, Blow-up of positive solutions of semilinear heat equations Indiana University Mathematics Journal. ,vol. 34, pp. 425- 447 ,(1985)
Hiroshi Matano, Existence of nontrivial unstable sets for equilibriums of strongly order-preserving systems Journal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics. ,vol. 30, pp. 645- 673 ,(1984)
Peter Polácik, Domains of attraction of equilibria and monotonicity properties of convergent trajectories in parabolic systems admitting strong comparison principle. Crelle's Journal. ,vol. 400, pp. 32- 56 ,(1989)
Michael Shub, Global Stability of Dynamical Systems ,(1986)
Daniel Bauman Henry, Geometric Theory of Semilinear Parabolic Equations ,(1981)
Necas Jindrich, Les Méthodes directes en théorie des équations elliptiques Masson. ,(2017)
Andrzej Szulkin, Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems Annales De L Institut Henri Poincare-analyse Non Lineaire. ,vol. 3, pp. 77- 109 ,(1986) , 10.1016/S0294-1449(16)30389-4
Herbert Amann, Parabolic evolution equations and nonlinear boundary conditions Journal of Differential Equations. ,vol. 72, pp. 201- 269 ,(1988) , 10.1016/0022-0396(88)90156-8
Helmut Hofer, A Geometric Description of the Neighbourhood of a Critical Point Given by the Mountain‐Pass Theorem Journal of The London Mathematical Society-second Series. ,vol. 31, pp. 566- 570 ,(1985) , 10.1112/JLMS/S2-31.3.566