Seminar series
Date
Mon, 27 Oct 2014
Time
17:00 -
18:00
Location
L6
Speaker
Paolo Baroni
Organisation
University of Uppsala
We consider the two-phase Stefan problem with p-degenerate diffusion, p larger than two, and we prove continuity up to the boundary for weak solutions, providing a modulus of continuity which we conjecture to be optimal. Since our results are proven in the form of a priori estimates for appropriate regularized problems, as corollary we infer the existence of a globally continuous weak solution for continuous Cauchy-Dirichlet datum.