A 2-D free boundary problem with onset of a phase and by Guidotti P.

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By Guidotti P.

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Diffussion in glassy polymers, J. Polymer Sci. Part C, 12 (1966), 249–261. , Operator-Valued Fourier Multipliers, Vector-Valued Besov-Spaces and Applications, Math. , 186 (1997), 5–56. , Linear and Quesilinear Parabolic Problems, vol II, Birkh¨auser, Basel, in preparation. Astarita, G. and Sarti, G. , A class of mathematical models for sorption of swelling solvents in glassy polymers, Polymer Engng. , 18 (1978), 388–395. Cohen, D. S. , Free boundary problems in controlled release pharmaceuticals.

Linear and Quesilinear Parabolic Problems, vol II, Birkh¨auser, Basel, in preparation. Astarita, G. and Sarti, G. , A class of mathematical models for sorption of swelling solvents in glassy polymers, Polymer Engng. , 18 (1978), 388–395. Cohen, D. S. , Free boundary problems in controlled release pharmaceuticals. I. Diffusion in glassy polymers, SIAM J. Appl. , 48 (1988), 1415–1465. Escher, J. , Maximal regularity for a free boundary problem, NoDEA, 2 (1995), 463–510. Escher, J. , Classical solutions of multidimensional Hele-Shaw models, SIAM J.

The results concerning singular BVPs of Section 2 can be generalized to higher dimensions if the domain degeneration only occurs in one direction. Indeed the nature of the symbols involved is not affected in this case. Multidirectional degenerations remain an open problem. Acknowledgements The author gratefully acknowledges the support of the Swiss National Science Foundation. , Gurnee, E. F. , Diffussion in glassy polymers, J. Polymer Sci. Part C, 12 (1966), 249–261. , Operator-Valued Fourier Multipliers, Vector-Valued Besov-Spaces and Applications, Math.

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