Well-posedness for the Cauchy problem of spatially weighted dissipative equation
Analysis of PDEs
2016-09-13 v1
Abstract
This paper mainly investigates the Cauchy problem of the spatially weighted dissipative equation with initial data in the weighted Lebesgue space. A generalized Hankel Transform is introduced to derive the analytical solution and a special Young's Inequality has been applied to prove the space-time estimates for this type of equation.
Keywords
Cite
@article{arxiv.1609.03414,
title = {Well-posedness for the Cauchy problem of spatially weighted dissipative equation},
author = {Ziheng Tu and Xiaojun Lu},
journal= {arXiv preprint arXiv:1609.03414},
year = {2016}
}
Comments
19 pages, 0 figure