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 $|x| \to \infty$ on these coefficients, we prove a well-posedness result in Gevrey-type spaces.
Gevrey well-posedness for 3-evolution equations with variable coefficients
Alexandre Arias Junior;Marco Cappiello
2024-01-01
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 $|x| \to \infty$ on these coefficients, we prove a well-posedness result in Gevrey-type spaces.
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