ANNOUNCEMENT ON"MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS"

• 作者: ZHANG Xi-cheng
• 来源期刊: 数学杂志
• 年，卷（期）: 2021,（1）
• 所属期刊栏目: 研究报告
• 页码范围: 1-4
• 页数: 4页
• 语种: 中文

摘要

In this note we announce the global boundedness for the solutions to a class of possibly degenerate parabolic equations by De-Giorgi's iteration.In particular,the existence of weak solutions for possibly degenerate stochastic differential equations with singular diffusion coefficients is obtained.