Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem
Analysis of PDEs
2016-02-29 v1
Abstract
In this paper we study the asymptotic behavior of a very fast diffusion PDE in 1D with periodic boundary conditions. This equation is motivated by the gradient flow approach to the problem of quantization of measures introduced in \cite{CGI1}. We prove exponential convergence to equilibrium under minimal assumptions on the data, and we also provide sufficient conditions for -stability of solutions.
Cite
@article{arxiv.1602.08125,
title = {Asymptotic analysis for a very fast diffusion equation arising from the 1D quantization problem},
author = {Mikaela Iacobelli},
journal= {arXiv preprint arXiv:1602.08125},
year = {2016}
}