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arXiv · 2106.09511

Gevrey well posedness for $3$-evolution equations with variable coefficients

Alexandre Arias Junior·Alessia Ascanelli·Marco Cappiello
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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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Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello. 2021-06-17. Gevrey well posedness for $3$-evolution equations with variable coefficients. https://arxiv.org/abs/2106.09511

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