具有奇异低阶项的抛物方程的对称性结果

IF 1.1 4区数学 Q1 MATHEMATICS

Ricerche di Matematica Pub Date : 2024-08-21 DOI:10.1007/s11587-024-00876-3

Ida de Bonis

引用次数: 0

摘要

我们为圆柱体 \(\Omega \times (0,T)\), \(T>0\)中奇异抛物方程的解提供了对称性结果作为质量浓度比较。这里，(\Omega \subset {\mathbb {R}}^N\) (\(N \ge 2\)) 是一个有界的开集，其特点是一个低阶项在解变量 s 中是奇异的。

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Symmetrization results for parabolic equations with a singular lower order term

We provide symmetrization results as mass concentration comparisons for solutions to singular parabolic equations in the cylinder \(\Omega \times (0,T)\), \(T>0\). Here, \(\Omega \subset {\mathbb {R}}^N\) (\(N \ge 2\)) is a bounded open set, featuring a lower order term that is singular in the solution variable s.

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来源期刊

Ricerche di Matematica Mathematics-Applied Mathematics

CiteScore

3.00

自引率

8.30%

发文量

期刊介绍： “Ricerche di Matematica” publishes high-quality research articles in any field of pure and applied mathematics. Articles must be original and written in English. Details about article submission can be found online.