Uniform estimates and limits for a two phase parabolic singular perturbation problem

Indiana University Mathematics Journal

Volumn 46, Issue 2, 1997, Pages 453-489

  Caffarelli, L A ^a   Lederman, C ^b   Wolanski, N ^b  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000038219     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.1997.46.1470     Document Type: Article

References (8)

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2. J. D. BUCKMASTER & G. S. S. LUDFORD, Theory of Laminar Flames, Cambridge University Press, Cambridge, 1982.
3. L. A. CAFFARELLI, A monotonicity formula for heat functions in disjoint domains, Boundary Value Problems for P.D.E.'s and Applications, dedicated to E. Magenes (J. L. Lions, C. Baiocchi, eds.), Masson, Paris, 1993, pp. 53-60.
4. _, Uniform Lipschitz regularity of a singular perturbation problem, Diff. and Int. Eqs. 8 (1995), 1585-1590.
5. _, A Harnack inequality approach to the regularity of free boundaries. Part II: Flat free boundaries are Lipschitz, Comm. Pure and Appl. Math 42 (1989), 55-78.
6. L. A. CAFFARELLI, C. LEDERMAN, & N. WOLANSKI, Pointwise and viscosity solutions for the limit of a two phase parabolic singular perturbation problem, preprint.
7. L. A. CAFFARELLI & J. L. VAZQUEZ, A free boundary problem for the heat equation arising in flame propagation, Trans. Amer. Math. Soc. 347 (1995), 411-441.
8. J. L. VÁZQUEZ, The free boundary problem for the heat equation with fixed gradient condition, Proceedings International Conference on Free Boundary Problems and Applications, Zakopane, Poland, 1995.