Regularity of Solutions for a Two-Phase Degenerate Stefan Problem

Regularity of Solutions for a Two-Phase Degenerate Stefan Problem

For a one-dimensional two-phase degenerate Stefan problem, we prove that the free boundary is C ∞ smooth and the solutions are C ∞ 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...

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Veröffentlicht in:Journal of Differential Equations 1993, Vol.102 (2), p.402-418
1. Verfasser: Li, D.N.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Zusammenfassung:For a one-dimensional two-phase degenerate Stefan problem, we prove that the free boundary is C ∞ smooth and the solutions are C ∞ 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.
ISSN:0022-0396
1090-2732
DOI:10.1006/jdeq.1993.1037