Regularity issues for the normalized p-Laplacian and more general parabolic equations in non-divergence form.


Main funder


Funds granted by main funder (€)

251 510,00


Funding program

Postdoctoral Researcher, AoF (Academy of Finland)


Project timetable

Project start date: 01/09/2017

Project end date: 31/08/2020


Summary

The scope of the proposed research project is to investigate qualitative properties of viscosity solutions to nonlinear parabolic equations related to the normalized $p$-Laplacian.
The normalized $p$-Laplacian arises from stochastic games and has applications in image processing and economics. These equations are in nondivergence form and include singularities or degeneracies due to a growth of the gradient of the solutions.
During the course of the project my first aim is to study the interior regularity of the solutions of more general equations sharing some aspects with the normalized $p$-Laplacian. The second goal is to investigate the boundary regularity of the solutions.


Principal Investigator


Primary responsible unit


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Last updated on 2020-12-10 at 11:29