We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex-valued lower order terms depending both on time and space variables. Under suitable decay assumptions for |x| to infinity on these coefficients, we prove a well-posedness result in Gevrey-type spaces.
Gevrey well-posedness for 3-evolution equations with variable coefficients
ALESSIA ASCANELLISecondo
;
2024
Abstract
We study the Cauchy problem for a class of third order linear anisotropic evolution equations with complex-valued lower order terms depending both on time and space variables. Under suitable decay assumptions for |x| to infinity on these coefficients, we prove a well-posedness result in Gevrey-type spaces.File in questo prodotto:
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