Gevrey 正则抛物方程的节点集上界

arXiv - MATH - Analysis of PDEs Pub Date : 2024-09-15 DOI:arxiv-2409.09879

Guher Camliyurt, Igor Kukavica, Linfeng Li

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引用次数: 0

摘要

我们考虑了具有 Gevrey 规则系数的二阶抛物型方程解的节点集的大小。我们提供了一个时间函数的上限。当系数为解析系数时，该依赖关系与一个尖锐的上界一致。

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Upper bounds of nodal sets for Gevrey regular parabolic equations

We consider the size of the nodal set of the solution of the second order parabolic-type equation with Gevrey regular coefficients. We provide an upper bound as a function of time. The dependence agrees with a sharp upper bound when the coefficients are analytic.

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arXiv - MATH - Analysis of PDEs

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