Seminars & Colloquia Calendar

Abstract: I will discuss nonlinear diffusion processes involving diffusion resistance. Mathematically one is led to consider fully nonlinear elliptic equations whose ellipticity degenerate as a function of the gradient; the law of degeneracy of the system. For non-degenerate models, a classical theorem proven independently by Caffarelli and Trudinger in the late 80’s assures that solutions are of class $C^{1,alpha}$ and a recent theorem proven by Imbert and Silvestre yields Holder continuity of solutions “independently” of the law of degeneracy. We want to understand the difficult borderline case regarding $C^{1}$ regularity.

Zoom link:
https://rutgers.zoom.us/j/96430905091?pwd=Tkp4N0FlRnk3ZXZLWTl6LzRHdkNZdz09
Meeting ID:964 3090 5091Passcode:491508