Yamabe型流弱解的存在性

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-27 DOI:10.1016/j.nonrwa.2025.104418

Sitao Zhang

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引用次数: 0

摘要

本文研究了欧几里德空间中有界正则域上的双非线性抛物型方程Yamabe型热流。我们证明了在初始数据u0的适当假设下，在任何时间间隔上的Yamabe型热流都具有弱近似离散莫尔斯流。我们证明了Yamabe型热流的弱解的存在性。

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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Existence of a weak solution to the Yamabe type flow

In this paper, we study a doubly nonlinear parabolic equation, which is the Yamabe type heat flow on a bounded regular domain in Euclidean space. We show that under suitable assumptions on the initial data

u_{0}

one has a weak approximate discrete Morse flow for the Yamabe type heat flow on any time interval. We show the existence of a weak solution to the Yamabe type heat flow.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.