scholarly journals Asymptotic behavior of solutions to certain nonlinear parabolic evolution equations. II

1992 ◽  
Vol 22 (2) ◽  
pp. 237-257 ◽  
Author(s):  
Hiroko Okochi
Keyword(s):  
Asymptotic Behavior ◽  
Evolution Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Parabolic ◽  
Parabolic Evolution Equations

scholarly journals Asymptotic behavior of solutions for a semibounded nonmonotone evolution equation

2003 ◽  
Vol 2003 (9) ◽  
pp. 521-538
Author(s):  
Nikos Karachalios ◽  
Nikos Stavrakakis ◽  
Pavlos Xanthopoulos
Keyword(s):  
Dynamical System ◽  
Asymptotic Behavior ◽  
Parabolic Equation ◽  
Evolution Equation ◽  
Existence And Uniqueness ◽  
Nonlinear Parabolic Equation ◽  
Evolution Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Uniqueness Of Solutions ◽  
Nonlinear Parabolic

We consider a nonlinear parabolic equation involving nonmonotone diffusion. Existence and uniqueness of solutions are obtained, employing methods for semibounded evolution equations. Also shown is the existence of a global attractor for the corresponding dynamical system.

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