..." What do you call work?"" Why ain't that work?" Tom resumed his whitewashing, and
answered carelessly:" Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom …

The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

In this paper we start the study of the regularity properties of the free boundary, for parabolic
two-phase free boundary problems. May be the best known example of a parabolic two …

We study the regularity of the free boundary in a Stefan-type problem\[\Delta u-\partial _t
u=\chi _\Omega\quad\text {in $ D\subset\mathbb {R}^ n\times\mathbb {R} $},\qquad …

A boundary backward Harnack inequality is proved for positive solutions of second order
parabolic equations in non-divergence form in a bounded cylinder $ Q=\Omega\times\left (0 …

Mathematische Annalen Page 1 Math. Ann. (2007) 338:703–755 DOI 10.1007/s00208-007-0094-2
Mathematische Annalen Existence of analytic solutions for the classical Stefan problem Jan …

We prove the parabolic boundary Harnack inequality in parabolic flat Lipschitz domains by
blow-up techniques, allowing, for the first time, a non-zero right-hand side. Our method …

We prove that if a parabolic Lipschitz (ie, Lip (1, 1/2)) graph domain has the property that its
caloric measure is parabolic\(A_ {\infty}\) with respect to surface measure (which property is …

In this paper we are concerned with global maximal regularity estimates for elliptic equations
with degenerate weights. We consider both the linear case and the non-linear case. We …

In this paper we consider entire solutions to semilinear elliptic equations. We show that
solutions that are monotone in one direction are energy minimizers and we discuss …