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| ANNOUNCEMENT ON“MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS” | |
| 引用本文： | ZHANG Xi-cheng. ANNOUNCEMENT ON“MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS”[J]. 数学杂志, 2021, 0(1): 1-4 |
| 作者姓名： | ZHANG Xi-cheng |
| 作者单位： | School of Mathematics and Statistics |
| 基金项目： | National Natural Science Foundation of China(11731009). |
| 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 |
ANNOUNCEMENT ON"MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS" |
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| ZHANG Xicheng. ANNOUNCEMENT ON"MAXIMUM PRINCIPLE FOR NON-UNIFORMLY PARABOLIC EQUATIONS AND APPLICATIONS"[J]. Journal of Mathematics, 2021, 0(1): 1-4 | |
| Authors: | ZHANG Xicheng |
| 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. |
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