Ph.D Thesis viva: Some qualitative and quantitative properties of solutions to parabolic equations
Mr. Vedansh Arya, Reseach Scholar
| Speaker |
Mr. Vedansh Arya, Reseach Scholar
|
|---|---|
| When |
Sep 12, 2022
from 02:00 PM to 03:00 PM |
| Where | Auditorium, ground floor, CAM, Bangalore |
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Abstract: In the first part of the talk, I will discuss an intrinsic Harnack inequality obtained for some non-homogeneous parabolic equations in the non-divergence form in a suitable geometry dictated by the nonlinearity.
In the second part of the talk, I will talk about qualitative and quantitative strong unique continuation for some fractional parabolic operators.
In the third part of the talk, I will describe the strong unique continuation properties (SUCP) for the solutions of sublinear parabolic equations. I will also describe a new space-like strong uniqueness result for local parabolic operators.