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MR499455 (80c:35067) 35L65 (58C15)
Schaeffer, David G. An application of the Nash-Moser theorem to a free boundary problem. Nonlinear partial differential equations and applications (Proc. Special Sem., Indiana Univ., Bloomington, Ind., 1976-1977), pp. 129--143, Lecture Notes in Math., 648, Springer, Berlin, 1978.
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