Lipschitz truncation method for parabolic double-phase systems and applications

IF 1.7 2区数学 Q1 MATHEMATICS

Journal of Functional Analysis Pub Date : 2024-11-05 DOI:10.1016/j.jfa.2024.110738

Wontae Kim, Juha Kinnunen, Lauri Särkiö

引用次数: 0

Abstract

We discuss a Lipschitz truncation technique for parabolic double-phase problems of p-Laplace type in order to prove energy estimates and uniqueness results for the Dirichlet problem. Moreover, we show existence for a non-homogeneous double-phase problem. The Lipschitz truncation method is based on a Whitney-type covering result and a related partition of unity in the intrinsic geometry for the double-phase problem.

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抛物线双相系统的 Lipschitz 截断法及其应用

我们讨论了 p-Laplace 型抛物线双相问题的 Lipschitz 截断技术，以证明 Dirichlet 问题的能量估计和唯一性结果。此外，我们还证明了非均质双相问题的存在性。Lipschitz截断方法基于惠特尼型覆盖结果和双相问题内在几何中的相关统一分割。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis