Equations Differentielles Operationnelles by Jacques Louis Lions
Dans un espace de BANACH H soit A(t) une famille d'operateurs non bornes, tE 0, TJ pour fixer les idees. On appelle equation difterentielle operationneUe (lineaire) une equation de la forme A(t)u(t)]u'(t) =f(t), la fonction f Hant donnee continue de 0, TJ dans H, la fonction u Hant une fois continument differentiable dans 0, TJ a valeurs dans H, u(t) appartenant a D(A(t)) (domaine de A(t)) pour chaque tE O, T]. Les exemples les plus importants sont ceux Oll A(t) est un systeme differentiel, le domaine de A(t) Hant alors fixe par des conditions aux limites. Le probleme de CAUCHY consiste a trouver une solution de (*), verifiant la condition initiale u(O) = u, U donne (dans D(A(O))). o o Mais il est classique que, pour bien des applications, le probleme pose sous la forme precedente impose des conditions trop restrictives a u. Il faut introduire alors la notion de solution faible de ce probleme; il y a un tres grand nombre de telles notions; une classification en est donnee au Chap. 1. Les Chap. IV, V, VII, IX, X donnent diverses con- ditions suffisantes portant sur les A (t) pour que tel ou tel probleme faible admette une solution et une seule; on y Hudie la regularite de ces solutions, et les meilleurs domaines Oll l' on doit prendre les donnees initiales.-
Complex Abelian Varieties
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Entire Functions of Several Complex Variables
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Finite Groups I
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Markov Processes
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Random Perturbations of Dynamical Systems
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Global Analysis of Minimal Surfaces
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Vorlesungen über Differenzenrechnung
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Minimal Surfaces
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Vorlesungen uber Topologie
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Harmonic Analysis on Semi-Simple Lie Groups II
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Einleitung in die Mengenlehre
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Lagerungen in der Ebene auf der Kugel und im Raum
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Algebraic Systems
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Continuous Transformations in Analysis
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Aufgaben und Lehrsätze aus der Analysis
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Die Grundlagen der Quantenmechanik
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Anfangswertprobleme bei Partiellen Differentialgleichungen
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Foundations of the Mathematical Theory of Electromagnetic Waves
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Topology and Geometry of Intersections of Ellipsoids in R^n
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Die Gruppentheoretische Methode in der Quantenmechanik
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Theta Functions
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Markov Processes, Structure and Asymptotic Behavior
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Non-Homogeneous Boundary Value Problems and Applications
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Endliche Gruppen I
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Reelle Funktionen
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Regularity of Minimal Surfaces
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Topological Vector Spaces II
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An Introduction to the Theory of Multipliers
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Baer *-Rings
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Classification Theory of Riemann Surfaces
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Best Approximation in Normed Linear Spaces by Elements of Linear Subspaces
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Harmonic Analysis on Semi-Simple Lie Groups I
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Moderne Algebra
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Die Grundlagen der Theorie der Markoffschen Prozesse
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Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
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Der Absolute Differentialkalkül und seine Anwendungen in Geometrie und Physik
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Abstract Harmonic Analysis
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Quasikonforme Abbildungen
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Vorlesungen über Himmelsmechanik
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Methoden der Mathematischen Physik
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Analytische Dynamik der Punkte und Starren Körper
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Grundprobleme der Mathematischen Theorie Elektromagnetischer Schwingungen
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Vorlesungen über Differentialgeometrie und geometrische Grundlagen von Einsteins Relativitätstheorie I
Lions, Jacques-Louis: - The late Jacques-Louis Lions was a Professor at College de France, Paris. During his distinguished career he was elected an honorary member of over twenty learned societies and academies world-wide and received honorary degrees from nineteen universities. He was awarded a large number of international prizes, including the SIAM T and Idalia Reid Prize in Mathematics, the Prize of Japan and the John Von Neumann Prize. By the time of his death in 2001, he had authored over 20 books.
| SKU | Unavailable |
| ISBN 13 | 9783662237403 |
| ISBN 10 | 3662237407 |
| Title | Equations Differentielles Operationnelles |
| Author | Jacques Louis Lions |
| Series | Grundlehren Der Mathematischen Wissenschaften |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer |
| Year published | 1961-01-01 |
| Number of pages | 292 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |