Regularity of the free boundary for non degenerate phase transition problems of parabolic type

L. Fornari

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 104, page 27-42
  • ISSN: 0041-8994

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Fornari, L.. "Regularity of the free boundary for non degenerate phase transition problems of parabolic type." Rendiconti del Seminario Matematico della Università di Padova 104 (2000): 27-42. <http://eudml.org/doc/108536>.

@article{Fornari2000,
author = {Fornari, L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {free boundaries; viscosity solution; phase transition; regualrity},
language = {eng},
pages = {27-42},
publisher = {Seminario Matematico of the University of Padua},
title = {Regularity of the free boundary for non degenerate phase transition problems of parabolic type},
url = {http://eudml.org/doc/108536},
volume = {104},
year = {2000},
}

TY - JOUR
AU - Fornari, L.
TI - Regularity of the free boundary for non degenerate phase transition problems of parabolic type
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 104
SP - 27
EP - 42
LA - eng
KW - free boundaries; viscosity solution; phase transition; regualrity
UR - http://eudml.org/doc/108536
ER -

References

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  2. [2] I. Athanasopoulos - L. A. CAFFARELLI - S. SALSA, Regularity of the free boundary in parabolic phase transition problems, Acta Math., 176 (1996), pp. 245-282. Zbl0891.35164MR1397563
  3. [3] L.A. Caffarelli, A Harnack inequality approach to the regularity of free [3] boundaries, Part I, Lipschitz free boundaries are C1, a, Rev. Math. Iberoamericana, 3 (1987), pp. 139-162. Zbl0676.35085MR990856
  4. [4] L.A. Caffarelli, A Harnack inequality approach to the regularity offree boundaries, Part II, Flat free boundaries are Lipschitz, Comm. Pure Appl. Math., 42 (1989), pp. 55-78. Zbl0676.35086MR973745
  5. [5] L.A. Caffarelli - L. C. EVANS, Continuity of the temperature in the two phase Stefan problems, Arch. Rat. Mech. Anal., 81 (3) (1983), pp. 199-220. Zbl0516.35080MR683353
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  8. [8] E.B. Fabes - N. Garofalo - S. Salsa, Comparison Theorems for temperatures in non-cylindrical domains, Atti Accad. Naz. Lincei, Ser. 8 Rend., 78 (1984), pp. 1-12. Zbl0625.35007MR884371
  9. [9] L. Fornari, Regularity of the solution and of the free boundary for free boundary problems arising in combustion theory, Ann. di Matem. pura ed appl., (IV) 176 (1999), pp. 273-286. Zbl0952.35156MR1746545
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  11. [11] C. Lederman - N. WOLANSKI, Viscosity solutions and regularity of the free boundary for the limit of an elliptic two phase singular perturbation problem, Ann. Scuola Norm. Sup. Pisa Cl. Sci. Journal of Math. (4), 27 (1998), pp. 253-288. Zbl0931.35200MR1664689
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  13. [13] R.H. Nochetto, A class of non-degenerate two-phase Stefan problem in several space variables, Comm. P.D.E., 12 (1) (1987), pp. 21-45. Zbl0624.35085MR869101
  14. [14] L. Rubenstein, The Stefan problem: comments on its present state, J. Inst. Maths. Applics., 124 (1979), pp. 259-277. Zbl0434.35086MR550476
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