A Global Diffeomorphism Theorem for Fréchet Spaces
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DOI: 10.1007/s10958-020-04802-4
Abstract: We establish sufficient conditions for a C c 1 $$ {C}_c^1 $$ -local diffeomorphism between Fréchet spaces to be a global diffeomorphism. We extend Clarke’s theory of generalized gradients to more general Fréchet spaces. As… read more here.
Keywords: global diffeomorphism; diffeomorphism; spaces global; theorem ... See more keywords
Differentiability in Fréchet spaces and delay differential equations
Sign Up to like & getrecommendations! Published in 2019 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2019.1.13
Abstract: In infinite-dimensional spaces there are non-equivalent notions of continuous differentiability which can be used to derive the familiar results of calculus up to the Implicit Function Theorem and beyond. For autonomous differential equations with variable… read more here.
Keywords: chet spaces; differentiability; differential equations; continuous differentiability ... See more keywords