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arXiv · 2407.18630

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

Alexandre Arias Junior·Alessia Ascanelli·Marco Cappiello·Eliakim Cleyton Machado
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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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Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello, Eliakim Cleyton Machado. 2024-07-26. The Cauchy problem for $p$-evolution equations with variable coefficients in Gevrey classes. https://arxiv.org/abs/2407.18630

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