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References
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
H. Amann: Linear and Quasilinear Parabolic Problems, Vol. I. Birkhäuser, Basel, 1995
S. Angenent: Nonlinear analytic semiflows. Proc. Roy. Soc. Edinburgh115A (1990), 91–107
S. Angenent: Parabolic equations for curves on surfaces, Part I. Curves withp-integrable curvature. Ann. of Math.132 (1990), 451–483
J.B. Baillon: Caractère borné de certains générateurs de semigroupes linéaires dans les espaces de Banach. C.R. Acad. Sc. Paris, Série A290 (1980), 757–760
J.T. Beale: The initial value problem for the Navier-Stokes equations with a free surface. Comm. Pure Appl. Math.34 (1980), 359–392
J. Bear, Y. Bachmat: Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer Academic Publisher, Boston, 1990
J. Crank: Free and Moving Boundary Problems. Clarendon Press, Oxford, 1984
G. Da Prato, P. Grisvard: Equations d'évolution abstraites nonlinéaires de type parabolique. Ann. Mat. Pura Appl.120 (1979), 329–396
C.M. Elliott, J.R. Ockendon: Weak and Variational Methods for Moving Boundary Problems. Pitman, Boston, 1982
J. Escher: The Dirichlet-Neumann operator on continous functions. Ann. Scuola Norm. Sup. Pisa (4) XXI (1994), 235–266
J. Escher, G. Simonett: Maximal regularity for a free boundary problem. Nonl. Diff. Equs. Appl. (to appear)
J. Escher, G. Simonett: On a multi-dimensional moving boundary problem. Preprint
A. Friedman: Variational Principles and Free-Boundary Problems. John Wiley & Sons, New York, 1982
A. Friedman, B. Hu: The Stefan problem with kinetic condition at the free boundary. Ann. Scuola Norm. Sup. Pisa (4) XIX (1992), 87–111
B. Hunt: Vertical recharge of unconfined aquifer. J. Hydr. Divn97 (1971), 1017–1030
H. Kawarada, H. Koshigoe Unsteady flow in porous media with a free surface. Japan J. Indust. Appl. Math.8 (1991), 41–82
A. Lunardi: Analytic Semigroups and Optimal Regularity in Parabolic Equations. Birkhäuser, Basel, 1995
H. Rasmussen, D. Salhani: Unsteady porous flow with a free surface. IMA J. of Appl. Math.27 (1981), 307–318
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Supported by the Swiss National Foundation