Monday, July 10

MS5
Recent Development in the Theory of Nonlinear Degenerate Elliptic and Parabolic Equations with Applications

10:30 AM - 1:00 PM
Room: Charles River - CC

This minisymposium reflects recent important developments made in the theory and applications of the nonlinear degenerate and singular elliptic and parabolic equations. The new “intrinsic form” Harnack Estimates for non-negative solutions of quasi-linear degenerate parabolic equations with the measurable coefficients, the new results on the well-posedness of the Neumann problem for the infinity-Laplacian and related Monge- Kantorovich mass transfer problem, as well as the well-posedness of the second order elliptic and parabolic problems in nonsmooth domains and in domains with noncompact boundaries will be presented.

Organizer: Ugur G. Abdulla
Florida Institute of Technology
Emmanuele DiBenedetto
Vanderbilt University

10:30-10:55 Harnack Estimates for Non-negative Solutions of Quasi-linear Degenerate Parabolic Equations with Measurable Coefficients

Emmanuele DiBenedetto, Vanderbilt University; Ugo P. Gianazza, University of Pavia, Italy; Vincenzo Vespri, University of Florence, Italy

11:00-11:25 The Neumann Problem for the Infinity-Laplacian

Juan J. Manfredi, University of Pittsburgh

11:30-11:55 Continuity of Solutions of Nonlinear Filtration Equations

Ugo P. Gianazza, University of Pavia, Italy; Vincenzo Vespri, University of Florence, Italy

12:00-12:25 Wiener's Criterion for Uniqueness of Solutions to the Elliptic and Parabolic Problems in Domains with Noncompact Boundaries

Ugur G. Abdulla, Florida Institute of Technology

12:30-12:55 On a Boundary Harnack Inequality for p-Harmonic Functions

John Lewis, University of Kentucky; Kaj Nystrom, Umeå University, Sweden