Diffusion phenomenon in Hilbert spaces and applications

@inproceedings{Radu2011DiffusionPI,
title={Diffusion phenomenon in Hilbert spaces and applications},
author={Petronela Radu and Grozdena Todorova and Borislav Yordanov},
year={2011}
}

Article history: Received 29 December 2010 Revised 19 January 2011 Available online 4 February 2011 We prove an abstract version of the striking diffusion phenomenon that offers a strong connection between the asymptotic behavior of abstract parabolic and dissipative hyperbolic equations. An important aspect of our approach is that we use in a natural way spectral analysis without involving complicated resolvent estimates. Our proof of the diffusion phenomenon does not use the individual… CONTINUE READING