Exponential attractor for the delayed logistic equation with a nonlinear diffusion

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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

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

Received August 2002 Published April 2003

Abstract
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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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