Weighted energy estimates for p-evolution equations in SG classes

被引：9

作者：

Ascanelli, Alessia ^{[1
]}

Cappiello, Marco ^{[2
]}

机构：

[1] Univ Ferrara, Dipartimento Matemat & Informat, I-44121 Ferrara, Italy

[2] Univ Turin, Dipartimento Matemat G Peano, I-10123 Turin, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2015年 / 15卷 / 03期

关键词：

p-Evolution equations; Cauchy problem; Pseudo-differential operators; CAUCHY-PROBLEM; WELL-POSEDNESS; REGULARITY;

D O I：

10.1007/s00028-015-0274-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 and .

引用

页码：583 / 607

页数：25