The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity
Analysis of PDEs
2020-01-29 v2
Abstract
We consider the Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity. We establish local well-posedness result in Orlicz spaces. We derive the existence of global solutions for small initial data. We obtain decay estimates for large time in Lebesgue spaces.
Keywords
Cite
@article{arxiv.1905.07787,
title = {The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity},
author = {Ahmad Fino and Mokhtar Kirane},
journal= {arXiv preprint arXiv:1905.07787},
year = {2020}
}