Regularity issues for the normalized p-Laplacian and more general parabolic equations in non-divergence form.
Main funder
Funder's project number: 307870
Funds granted by main funder (€)
- 251 510,00
Funding program
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.
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
Related publications and other outputs
- Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton–Jacobi equations (2020) Attouchi, Amal; et al.; A1; OA
- Gradient regularity for a singular parabolic equation in non-divergence form (2020) Attouchi, Amal; et al.; A1; OA
- Local regularity for quasi-linear parabolic equations in non-divergence form (2020) Attouchi, Amal; A1; OA
- Remarks on regularity for p-Laplacian type equations in non-divergence form (2018) Attouchi, Amal; et al.; A1; OA
