Synopsis
1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R, with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 i 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 i 'v, be given in function space s F and G, F being a space" on m" and the G/ s spaces" on am"; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 i 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG, j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con- j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.
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Non-Homogeneous Boundary Value Problems and Applications: Vol. 1 (Grundlehren der mathematischen Wissenschaften)
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Non-Homogeneous Boundary Value Problems and Applications (Paperback)
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Paperback. Etat : new. Paperback. 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as "working hypothesis" that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a "natural" way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families. By "non-homogeneous boundary value problem" we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space" on m" and the G/ s spaces" on am" ; j we seek u in a function space u/t "on m" satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v])). Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783642651632
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Non-Homogeneous Boundary Value Problems and Applications: Vol. 1 (Grundlehren der mathematischen Wissenschaften)
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Non-Homogeneous Boundary Value Problems and Applications
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Springer Berlin Heidelberg Nov 2011, 2011
ISBN 10 : 3642651631
ISBN 13 : 9783642651632
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By 'non-homogeneous boundary value problem' we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space' on m' and the G/ s spaces' on am' ; j we seek u in a function space u/t 'on m' satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v'])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as 'working hypothesis' that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a 'natural' way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families. 380 pp. Englisch. N° de réf. du vendeur 9783642651632
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Non-Homogeneous Boundary Value Problems and Applications
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ISBN 10 : 3642651631
ISBN 13 : 9783642651632
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj 0 ~ i ~ V. By non-homogeneous boundary value proble. N° de réf. du vendeur 5067198
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Non-Homogeneous Boundary Value Problems and Applications | Vol. 1
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Taschenbuch. Etat : Neu. Non-Homogeneous Boundary Value Problems and Applications | Vol. 1 | Jacques Louis Lions (u. a.) | Taschenbuch | xvi | Englisch | 2011 | Springer | EAN 9783642651632 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 106368271
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Non-Homogeneous Boundary Value Problems and Applications
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By 'non-homogeneous boundary value problem' we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space' on m' and the G/ s spaces' on am' ; j we seek u in a function space u/t 'on m' satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v«])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as 'working hypothesis' that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a 'natural' way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 380 pp. Englisch. N° de réf. du vendeur 9783642651632
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Non-Homogeneous Boundary Value Problems and Applications : Vol. 1
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Springer Berlin Heidelberg, 2011
ISBN 10 : 3642651631
ISBN 13 : 9783642651632
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R , with boundary am. In m and on am we introduce, respectively, linear differential operators P and Qj' 0 ~ i ~ 'V. By 'non-homogeneous boundary value problem' we mean a problem of the following type: let f and gj' 0 ~ i ~ 'v, be given in function space s F and G , F being a space' on m' and the G/ s spaces' on am' ; j we seek u in a function space u/t 'on m' satisfying (1) Pu = f in m, (2) Qju = gj on am, 0 ~ i ~ 'v'])). Qj may be identically zero on part of am, so that the number of boundary conditions may depend on the part of am considered 2. We take as 'working hypothesis' that, for fEF and gjEG , j the problem (1), (2) admits a unique solution u E U/t, which depends 3 continuously on the data . But for alllinear probIems, there is a large number of choiees for the space s u/t and {F; G} (naturally linke d together). j Generally speaking, our aim is to determine families of spaces 'ft and {F; G}, associated in a 'natural' way with problem (1), (2) and con j venient for applications, and also all possible choiees for u/t and {F; G} j in these families. N° de réf. du vendeur 9783642651632
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