The smoothness of the free boundary in the one phase stefan problem
作者： David Kinderlehrer , Louis Nirenberg
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摘要: This paper is concerned with the regularity of the free boundary in a parabolic variational inequality arising, for example, in a one phase Stefan problem. A one phase Stefan problem …
sci-hub.se 参考文章(12)
Charles Bradfield Morrey, Multiple Integrals in the Calculus of Variations ,(1966)
David Kinderlehrer, Louis Nirenberg, Analyticity at the boundary of solutions of nonlinear second-order parabolic equations Communications on Pure and Applied Mathematics. ,vol. 31, pp. 283- 338 ,(1978) , 10.1002/CPA.3160310303
Avner Friedman, Analyticity of the free boundary for the Stefan problem Archive for Rational Mechanics and Analysis. ,vol. 61, pp. 97- 125 ,(1976) , 10.1007/BF00249700
Avner Friedman, A new proof and generalizations of the Cauchy-Kowalewski theorem Transactions of the American Mathematical Society. ,vol. 98, pp. 1- 20 ,(1961) , 10.1090/S0002-9947-1961-0166462-2
Sergio Campanato, Equazioni ellittiche del IIo ordine e spazi
$$\mathfrak{L}^{(2,\lambda )} $$
. Annali di Matematica Pura ed Applicata. ,vol. 69, pp. 321- 381 ,(1965) , 10.1007/BF02414377
Lars Hörmander, Linear Partial Differential Operators ,(1963)
S. Agmon, A. Douglis, L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I Communications on Pure and Applied Mathematics. ,vol. 12, pp. 623- 727 ,(1959) , 10.1002/CPA.3160120405
J.R Cannon, C.Denson Hill, On the infinite differentiability of the free boundary in a Stefan problem Journal of Mathematical Analysis and Applications. ,vol. 22, pp. 385- 397 ,(1968) , 10.1016/0022-247X(68)90180-7
David G Schaeffer, A new proof of the infinite differentiability of the free boundary in the Stefan problem Journal of Differential Equations. ,vol. 20, pp. 266- 269 ,(1976) , 10.1016/0022-0396(76)90106-6
Luis A. Caffarelli, The regularity of elliptic and parabolic free boundaries Bulletin of the American Mathematical Society. ,vol. 82, pp. 616- 619 ,(1976) , 10.1090/S0002-9904-1976-14138-9