Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold
Analysis of PDEs
2013-06-19 v1
Abstract
We construct an example of a one-dimensional parabolic integro-differential equation with nonlocal diffusion which does not have asymptotically finite-dimensional dynamics in the corresponding state space. This example is more natural in the class of evolutionary equations of parabolic type than those known earlier.
Cite
@article{arxiv.1306.4249,
title = {Parabolic Equation with Nonlocal Diffusion without a Smooth Inertial Manifold},
author = {Alexander V. Romanov},
journal= {arXiv preprint arXiv:1306.4249},
year = {2013}
}
Comments
12 pages