The Cauchy problem for $p$-evolution equations with initial data in Gelfand-Shilov spaces
Abstract
We study the Cauchy problem for a class of linear evolution equations of arbitrary order with coefficients depending both on time and space variables. Under suitable decay assumptions on the coefficients of the lower order terms for $|x|$ large, we prove a well-posedness result in Gelfand-Shilov spaces.
Fields of Study & Subjects
Differential Equations and Boundary Problems
advanced mathematical theories
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Advances in Differential Equations
- Volume
- 31
- Issue
- 11/12
- Pages
- 887–926
- Publication date
- 15 September 2026