General freeboundary problems for the heat equation. II
Abstract
Two freeboundary problems for the heat equation are analyzed by imposing sign restrictions on the data and the coefficients, and regularity conditions on the parameters involved. The existence of solutions to both problems is demonstrated for a Holder continuous case of the initial datum. It is shown that the solutions are continuously dependent on the data and the coefficients. The results improve the corresponding ones in the theory of the Stefan problem.
 Publication:

Journal of Mathematical Analysis and Applications
 Pub Date:
 March 1977
 Bibcode:
 1977JMAA...58..202F
 Keywords:

 Boundary Value Problems;
 Existence Theorems;
 Free Boundaries;
 Thermodynamics;
 Continuity (Mathematics);
 Convergence;
 Inequalities;
 Lipschitz Condition;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer