Weighted energy estimates for $p$-evolution equations
Analysis of PDEs
2013-09-25 v1
Abstract
We prove energy estimates for linear -evolution equations in weighted Sobolev spaces under suitable assumptions on the behavior at infinity of the coefficients with respect to the space variables. As a consequence we obtain well posedness for the related Cauchy problem in the Schwartz spaces and .
Cite
@article{arxiv.1309.6102,
title = {Weighted energy estimates for $p$-evolution equations},
author = {Alessia Ascanelli and Marco Cappiello},
journal= {arXiv preprint arXiv:1309.6102},
year = {2013}
}
Comments
18 pages