Analyticity of the interface in a free boundary problem

Mathematische Annalen

Volumn 305, Issue 1, 1996, Pages 439-459

  Escher, Joachim ^a   Simonett, Gieri ^b  

^a UNIVERSITY OF BASEL   (Switzerland)

^b VANDERBILT UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039470279     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf01444233     Document Type: Article

References (19)

1. H.W. Alt, E. Di Benedetto: Nonsteady flow of water and oil through inhomogeneous porous media. Ann. Scuola Norm. Sup. Pisa (4) XII (1985), 335-392
2. H. Amann: Linear and Quasilinear Parabolic Problems, Vol I. Birkhäuser, Basel, 1995
3. S. Angenent: Nonlinear analytic semiflows. Proc. Roy. Soc. Edinburgh 115A (1990), 91-107
4. S. Angenent: Parabolic equations for curves on surfaces, Part I. Curves with p-integrable curvature. Ann. of Math. 132 (1990), 451-483
5. J.B. Baillon: Caractère borné de certains générateurs de semigroupes linéaires dans les espaces de Banach. C.R. Acad. Sc. Paris, Série A 290 (1980), 757-760
6. J.T. Beale: The initial value problem for the Navier-Stokes equations with a free surface. Comm. Pure Appl. Math. 34 (1980), 359-392
7. J. Bear, Y. Bachmat: Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publisher, Boston, 1990
8. J. Crank: Free and Moving Boundary Problems. Clarendon Press, Oxford, 1984
9. G. Da Prato, P. Grisvard: Equations d'évolution abstraites nonlinéaires de type parabolique. Ann. Mat. Pura Appl. 120 (1979), 329-396
10. C.M. Elliott, J.R. Ockendon: Weak and Variational Methods for Moving Boundary Problems. Pitman, Boston, 1982
11. J. Escher: The Dirichlet-Neumann operator on continuous functions. Ann. Scuola Norm. Sup. Pisa (4) XXI (1994), 235-266
12. J. Escher, G. Simonett: Maximal regularity for a free boundary problem. Nonl. Diff. Equs. Appl. (to appear)
13. J. Escher, G. Simonett: On a multi-dimensional moving boundary problem. Preprint
14. A. Friedman: Variational Principles and Free-Boundary Problems. John Wiley & Sons, New York, 1982
15. A. Friedman, B. Hu: The Stefan problem with kinetic condition at the free boundary. Ann. Scuola Norm. Sup. Pisa (4) XIX (1992), 87-111
16. B. Hunt: Vertical recharge of unconfined aquifer. J. Hydr. Divn 97 (1971), 1017-1030
17. H. Kawarada, H. Koshigoe: Unsteady flow in porous media with a free surface. Japan J. Indust. Appl. Math. 8 (1991), 41-82
18. A. Lunardi: Analytic Semigroups and Optimal Regularity in Parabolic Equations. Birkhäuser, Basel, 1995
19. H. Rasmussen, D. Salhani: Unsteady porous flow with a free surface. IMA J. of Appl. Math. 27 (1981), 307-318