Non-Homogeneous Boundary Value Problems and Applications

Name: Non-Homogeneous Boundary Value Problems and Applications
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783642651632
Price: 660.01 RON
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Autor: Enrico Magenes

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Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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1. We describe, at first in a very formaI manner, our essential aim. n Let m be an op en subset of R...

Informații despre carte

Autor

Enrico Magenes

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2011

Pagini

360

EAN

9783642651632

ISBN

9783642651632

Enbook ID

06617964

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

542

Dimensiuni

156 x 235 x 21

Descriere completă

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

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