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

1984 ◽  
Vol 14 (2) ◽  
pp. 265-281 ◽  
Author(s):  
Hiroko Okochi
2003 ◽  
Vol 2003 (9) ◽  
pp. 521-538
Author(s):  
Nikos Karachalios ◽  
Nikos Stavrakakis ◽  
Pavlos Xanthopoulos

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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