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.
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页数：10
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