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The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes
- Publication Year :
- 2024
-
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 Gevrey-type spaces.<br />Comment: 31 pages
- Subjects :
- Mathematics - Analysis of PDEs
35G10, 35S05, 35B65, 46F05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2407.18630
- Document Type :
- Working Paper