| 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. |
| 关键词: maximum principle De-Giorgi's iteration stochastic differential equation Krylov's estimate |
| DOI： |
| 分类号: |
| 基金项目:Supported by National Natural Science Foundation of China (11731009). |
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| ANNOUNCEMENT ON “MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS” |
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ZHANG Xi-cheng
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| 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. |
| Key words: maximum principle De-Giorgi's iteration stochastic differential equation Krylov's estimate |
