Existence of Viscosity Solutions for Weakly Coupled Cooperative Parabolic Systems with Fully Nonlinear Principle Part

被引：0

作者：

Boyadzhiev, Georgi ^{[1
,2
]}

Kutev, Nikolay ^{[1
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, 8 Acad G Bonchev St, Sofia 1113, Bulgaria

[2] Univ Architecture Civil Engn & Geodesy, 1 Hr Smirnenski Bul, Sofia 1046, Bulgaria

来源：

MATHEMATICS | 2024年 / 12卷 / 13期

关键词：

degenerate parabolic quasi-monotone systems; viscosity solutions; maximum principle; existence; STRONG MAXIMUM PRINCIPLE; EQUATIONS;

D O I：

10.3390/math12132093

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence of viscosity solutions for weakly coupled, degenerate, and cooperative parabolic systems is studied in a bounded domain. In particular, we consider the viscosity solutions of parabolic systems with fully nonlinear degenerated principal symbol and linear coupling part. The maximum principle theorem is given as well.

引用

页数：10

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