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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Bubbling and extinction for some fast diffusion equations in bounded domains
有界域 快速扩散方程 气泡 消光
2023/11/13
Motivated by the Wisconsin octupole experiments on anomalous diffusion of hydrogen plasma across a purely poloidal octupole magnetic field, Berryman-Holland 1980 proved the stability of separable solu...
Gradient estimates for porous medium and fast diffusion equations via FBSDE approach
Gradient estimates porous medium fast diffusion equations FBSDE approach Probability
2012/6/27
In this paper, we establish several gradient estimates for the positive solution of Porous Medium Equations (PMEs) and Fast Diffusion Equations (FDEs). Our proof is probabilistic and uses martingale t...