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2003, 2003(Special): 717-726. doi: 10.3934/proc.2003.2003.717

Exponential attractor for the delayed logistic equation with a nonlinear diffusion

Dalibor Pražák 1,

1. 

Department of Mathematical Analysis, Charles University, Prague, Sokolovská 83, 186 75 Prague 8

Received  August 2002 Published  April 2003

We study the generalized logistic equation where the feedback is captured by the time convolution with a nonnegative measure and the diffusion is the laplacian plus the p-laplacian with $p >= 2$. We prove that the equation has an exponential attractor provided that the solutions are asymptotically bounded.
Keywords: nonlinear dissipation, bounded delay., Exponential attractor, logistic equation.
Mathematics Subject Classification: Primary: 37L25. Secondary: 37L30, 47J3.
Citation: Dalibor Pražák. Exponential attractor for the delayed logistic equation with a nonlinear diffusion. Conference Publications, 2003, 2003 (Special) : 717-726. doi: 10.3934/proc.2003.2003.717
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