Non-Homogeneous Boundary Value Problems and Applications

Name: Non-Homogeneous Boundary Value Problems and Applications
SKU: 20771401
Price: 309.99 AUD
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Vol. 1

By:

Format:

Paperback / softback

Series:

Grundlehren Der Mathematischen Wissenschaften

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Description

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.

Release date Australia

November 15th, 2011

Author

Audience

Professional & Vocational

Contributor

Translated by P Kenneth

Edition

Softcover reprint of the original 1st ed. 1972

Illustrations

xvi, 360 p.

Pages

360

Series

Grundlehren Der Mathematischen Wissenschaften

Dimensions

156x234x19

ISBN-13

9783642651632

Product ID

20771401

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