SULJE VALIKKO

avaa valikko

Partial Differential Equations VI - Elliptic and Parabolic Operators
97,90 €
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Sivumäärä: 325 sivua
Asu: Kovakantinen kirja
Painos: 1994
Julkaisuvuosi: 1994, 27.09.1994 (lisätietoa)
Kieli: Englanti
Tuotesarja: Encyclopaedia of Mathematical Sciences 63
0. 1. The Scope of the Paper. This article is mainly devoted to the oper­ ators indicated in the title. More specifically, we consider elliptic differential and pseudodifferential operators with infinitely smooth symbols on infinitely smooth closed manifolds, i. e. compact manifolds without boundary. We also touch upon some variants of the theory of elliptic operators in !Rn. A separate article (Agranovich 1993) will be devoted to elliptic boundary problems for elliptic partial differential equations and systems. We now list the main topics discussed in the article. First of all, we ex­ pound theorems on Fredholm property of elliptic operators, on smoothness of solutions of elliptic equations, and, in the case of ellipticity with a parame­ ter, on their unique solvability. A parametrix for an elliptic operator A (and A-). . J) is constructed by means of the calculus of pseudodifferential also for operators in !Rn, which is first outlined in a simple case with uniform in x estimates of the symbols. As functional spaces we mainly use Sobolev £ - 2 spaces. We consider functions of elliptic operators and in more detail some simple functions and the properties of their kernels. This forms a foundation to discuss spectral properties of elliptic operators which we try to do in maxi­ mal generality, i. e. , in general, without assuming selfadjointness. This requires presenting some notions and theorems of the theory of nonselfadjoint linear operators in abstract Hilbert space.

Translated by: M. Capinski, R. Cooke
Contributions by: M.S. Agranovich, S.D. Ejdel'man, S.Z. Levendorskij, B. Paneah

Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
LISÄÄ OSTOSKORIIN
Tilaustuote | Arvioimme, että tuote lähetetään meiltä noin 4-5 viikossa | Tilaa jouluksi viimeistään 27.11.2024
Myymäläsaatavuus
Helsinki
Tapiola
Turku
Tampere
Partial Differential Equations VI - Elliptic and Parabolic Operators
Näytä kaikki tuotetiedot
ISBN:
9783540546788
Sisäänkirjautuminen
Kirjaudu sisään
Rekisteröityminen
Oma tili
Omat tiedot
Omat tilaukset
Omat laskut
Lisätietoja
Asiakaspalvelu
Tietoa verkkokaupasta
Toimitusehdot
Tietosuojaseloste