Year: 2013
Type: preprint
Abstract: We prove energy estimates for linear $p$-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 $\mathcal{S}$ and $\mathcal{S}'$.
Source: arXiv (Cornell University)
Authors: Ascanelli, Alessia, Cappiello, Marco
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1499514027