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.
The Cauchy problem for p-evolution equations with initial data in Gelfand-Shilov spaces
Marco Cappiello
;
2026-01-01
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.
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