Existence of solutions for a class of heat equations involving the mean curvature operator

被引：2

作者：

Alves, Claudianor O. O. ^{[1
]}

Boudjeriou, Tahir ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Academ Matemat, BR-58429970 Campina Grande, PB, Brazil

[2] Univ Boumerdes, Inst Elect & Elect Engn, Dept Basic Teaching, Boumerdes 35000, Algeria

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2023年 / 13卷 / 01期

关键词：

EVOLUTIONARY SURFACES; PARABOLIC EQUATION; DIRICHLET; SPACE;

D O I：

10.1007/s13324-022-00774-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to show the existence of a bounded variation solution, which is based on the Anzellotti pairing to an evolution problem associated with the mini-mal surface equations. A key ingredient in the proof is to approximate the parabolic minimal surface problem by a quasilinear parabolic problem involving a parameter p > 1, and then by establishing some energy estimates independent of p, we take the limit as p -> 1(+) to obtain the desired result.

引用

页数：27

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