Existence for implicit differential equations in Banach spaces

Viorel Barbu; Angelo Favini

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

H. Brézis, L. Nirenberg (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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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 $x$ -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 $- div a (x, grad u) = f$ , together with appropriate boundary conditions, whenever $a (x, e)$ is a maximal monotone graph in $e$ , for every fixed $x$ . 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 $45^{\circ}$ rotation, for every fixed $x$ ; in other words, the graph $d \in a (x, e)$ is defined through $d - e = φ (x, d + e)$ , where $φ$ is a Carathéodory contraction in $R^{N}$ . This definition is shown to be equivalent to the fact that $a (x, \cdot)$ is pointwise...

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

Differential operators with non dense domain

On an evolution equation in Banach spaces

Extrapolation methods to solve non-autonomous retarded partial differential equations

On cosine operator functions and one-parameter groups of operators

Monotone operators in divergence form with x -dependent multivalued graphs

Monotone operators in divergence form with $x$ -dependent multivalued graphs