The Cauchy problem for the two phase Stefan problem

Communications in Applied Analysis

Volumn 11, Issue 1, 2007, Pages 43-52

  Korten, Marianne K ^a   Moore, Charles N ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34249311619     PISSN: 10832564     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. D. Andreucci and M.K. Korten, Initial traces of solutions to a one-phase Stefan problem in an infinite strip, Revista Matemática Iberoamericana, 9 (1993), no. 2, 315-332.
2. J.E. Bouillet, Signed solutions to diffusion-heat conduction equations, In: Free Boundary Problems: Theory and Applications, Proceedings of the International Colloquium, Irsee Germany, 1982, Pitman Research Notes Mathematics Series 186 (1990), 888-892.
3. L.A. Caffarelli and L.C. Evans, Continuity of the temperature in the two-phase Stefan problem, Archive for Rational Mechanics and Analysis, 81 (1983), 199-220.
4. E. DiBenedetto, Continuity of weak solutions to certain singular parabolic equations, Annali di Matematica Pura et Applicata (IV), 130 (1982), 131-176.
5. +: Regularity and uniqueness for the Cauchy problem, Nonlinear Analysis: Theory, Methods, and Applications, 27 (1996), no. 5, 589-603.
6. M.K. Korten and C.N. Moore, Regularity for solutions of the two-phase Stefan problem, http://arxiv.org/PS_cache/math/pdf/0506/0506022.pdf.
7. O.A. Ladyženskaja, V.A. Solonnikov, N.N. Ural'ceva, Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society, Providence, R.I., 1968.
8. P.E. Sacks, Continuity of solutions of a singular parabolic equation, Nonlinear Analysis. Theory, Methods and Applications, 7 (1983), no. 4, 387-409.
9. W.P. Ziemer, Interior and boundary continuity of weak solutions of degenerate parabolic equations, Transactions of the American Mathematical Society, 271 (1982), no. 2, 733-748.