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Information Center for Mathematical Science

### 논문검색

Information Center for Mathematical Science

#### 논문검색

Journal of Differential Equations
( Vol. 102 NO.2 / (1993))
Regularity of Solutions for a Two-Phase Degenerate Stefan Problem

Pages. 402-418
Abstract For a one-dimensional two-phase degenerate Stefan problem, we prove that the free boundary is $C^infty$ smooth and the solutions are $C^infty$ smooth up to the boundary. The proof is based on performing the hodograph transformation to fix the free boundary and establishing a nonlinear a priori estimate for the solution. 1. Introduction 2. Transformed problem 2.1. Preparatory propositions 2.2. Hodograph transformation 3. A priori estimate for nonlinear problem 3.1. A priori estimate 3.2. Truncated estimate 4. Existence of $C^\infty$ solutions