Free Boundary Problems for Parabolic Equations I. Melting of Solids

Free Boundary Problems for Parabolic Equations

An address delivered at the Ann Arbor meeting of the American Mathematical Society on November 29, 1969, by invitation of the Committee to Select Hour Speakers for Western Sectional Meetings; received by the editors April 9,1969. AMS 1969 subject classifications. Primary 3562, 3578.

Initial - Boundary Value Problems for Parabolic Equations

Variational Modeling of Parabolic Free Boundary Problems

Application of Shannon wavelet for solving boundary value problems of fractional differential equations I

Fractional calculus has been used to model physical and engineering processes that are found to be best described by fractional diff<span style="font-family: NimbusRomNo...

A General Class of Free Boundary Problems for Fully Nonlinear Parabolic Equations

In this paper we consider the fully nonlinear parabolic free boundary problem { F (Du)− ∂tu = 1 a.e. in Q1 ∩ Ω |Du|+ |∂tu| ≤ K a.e. in Q1 \ Ω, where K > 0 is a positive constant, and Ω is an (unknown) open set. Our main result is the optimal regularity for solutions to this problem: namely, we prove that W 2,n x ∩W 1,n t solutions are locally C 1,1 x ∩C 0,1 t inside Q1. A key starting point for...