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arXiv · 2309.05571

On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness

Alexandre Arias Junior·Alessia Ascanelli·Marco Cappiello
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Abstract

In this paper we consider a class of $p$-evolution equations of arbitrary order with variable coefficients depending on time and space variables $(t,x)$. We prove necessary conditions on the decay rates of the coefficients for the well-posedness of the related Cauchy problem in Gevrey spaces.

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Alexandre Arias Junior, Alessia Ascanelli, Marco Cappiello. 2023-09-11. On the Cauchy problem for $p$-evolution equations with variable coefficients: a necessary condition for Gevrey well-posedness. https://arxiv.org/abs/2309.05571

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