Global existence and exponential decay to equilibrium for DLSS-type equations
Analysis of PDEs
2020-02-19 v2
Abstract
In this paper, we deal with two logarithmic fourth order differential equations: the extended one-dimensional DLSS equation and its multi-dimensional analog. We show the global existence of solution in critical spaces, its convergence to equilibrium and the gain of spatial analyticity for these two equations in a unified way.
Cite
@article{arxiv.1909.07684,
title = {Global existence and exponential decay to equilibrium for DLSS-type equations},
author = {Hantaek Bae and Rafael Granero-Belinchón},
journal= {arXiv preprint arXiv:1909.07684},
year = {2020}
}