Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
H. Brézis, L. Nirenberg (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Existence for implicit differential equations in Banach spaces”
Characterizations of the ranges of some nonlinear operators and applications to boundary value problems
Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces
Enzo Mitidieri, Mario Tosques (1986-1987)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Differential operators with non dense domain
G. Da Prato, E. Sinestrari (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On an evolution equation in Banach spaces
Rosanna Villella Bressan (1974)
Rendiconti del Seminario Matematico della Università di Padova
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Extrapolation methods to solve non-autonomous retarded partial differential equations
Abdelaziz Rhandi (1997)
Studia Mathematica
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Using extrapolation spaces introduced by Da Prato-Grisvard and Nagel we prove a non-autonomous perturbation theorem for Hille-Yosida operators. The abstract result is applied to non-autonomous retarded partial differential equations.
On cosine operator functions and one-parameter groups of operators
J. Kisyński (1972)
Studia Mathematica
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Monotone operators in divergence form with -dependent multivalued graphs
Gilles Francfort, François Murat, Luc Tartar (2004)
Bollettino dell'Unione Matematica Italiana
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We prove the existence of solutions to , together with appropriate boundary conditions, whenever is a maximal monotone graph in , for every fixed . We propose an adequate setting for this problem, in particular as far as measurability is concerned. It consists in looking at the graph after a rotation, for every fixed ; in other words, the graph is defined through , where is a Carathéodory contraction in . This definition is shown to be equivalent to the fact that is pointwise...