The Cauchy problem for p-evolution equations with variable coefficients in Gevrey classes

2024/07/26 by Junior, Alexandre Arias, Ascanelli, Alessia, Cappiello, Marco +1 · 1 citation
#35B65 #35G10 #35S05 #46F05 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.18630

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.

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• The Cauchy problem for p-evolution equations with initial data in Gelfand-Shilov spaces

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