Solvability of Abstract Semilinear Equations by a Global Diffeomorphism Theorem
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DOI: 10.1007/s00025-018-0873-y
Abstract: In this work we develop a method towards unique solvability of abstract semilinear equations. We use a global diffeomorphism theorem for which we provide a simplified proof. Applications to second order partial differential equations are… read more here.
Keywords: diffeomorphism theorem; global diffeomorphism; abstract semilinear; solvability abstract ... See more keywords
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