Non-Homogeneous Boundary Value Problems and Applications. Vol. I III. Translated by P. Kenneth.

Lions, J. L. / Magenes, E.

ISBN 10: 3540053638 / ISBN 13: 9783540053637

Published by Berlin / Heidelberg / New York 1972–1973, Springer-Verlag, 1972

About this Item

24 × 16.5 cm, 3 volumes, hardcovers with dust jackets, xvi, 358, (2) pages, xii, 242, (2) pages & xii, 308, (2) pages, text in English, paper browned, otherwise in very good condition, see picture. Volumes 181 183 in the series Die Grundlehren der mathematischen Wissenschaften. Translation of the French original "Problèmes aux limites non homogènes et applications" (1965). Influential three-volume work on the theory of boundary value problems for partial differential equations. Vol. I: ISBN 3-540-05363-8 / 0-387-05363-8 Vol. II: ISBN 3-540-05444-8 / 0-387-05444-8 Vol. III: ISBN 3-540-05832-X / 0-387-05832-X 2200g.

Seller Inventory # 80634

Bibliographic Details

• Title: Non-Homogeneous Boundary Value Problems and Applications. Vol. I III. Translated by P. Kenneth.
• Publisher: Berlin / Heidelberg / New York 1972 1973, Springer-Verlag
• Publication Date: 1972
• Language: English
• ISBN 10: 3540053638
• ISBN 13: 9783540053637
• Binding: Hardcover
• Weight: 2200 grams
• Seller catalogs:
  • Wiskunde

About this title

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 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.