An inverse function theorem for Frechet spaces
نویسندگان
چکیده
منابع مشابه
An inverse function theorem in Fréchet spaces
I present an inverse function theorem for differentiable maps between Fréchet spaces which contains the classical theorem of Nash and Moser as a particular case. In contrast to the latter, the proof does not rely on the Newton iteration procedure, but on Lebesgue’s dominated convergence theorem and Ekeland’s variational principle. As a consequence, the assumptions are substantially weakened: th...
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Let VZu+k2u+k2a~(z)u+V.(a~(~)Vu) = -6(cc-y) inR3, where al(z) EL’(D), a&) E H’(D), D E R3_ = {z : 13 < 0) is a finite region, aj(Z) = 0 outside of D, j = 1,2, 1 + 02 > 0, al = El. Assume that thedatau(l,y,k),V~,yEP={I:13=0}8ndallkE(O,ko),ko>O is an arbitrary small number, are given. THEOREM. The above data determine aj(z), j = 1,2, uniquely.
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1984
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-13-1-683-699