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Linear elliptic differential systems and eigenvalue problems : the Johns Hopkins University, Baltimore Md., March-May 1965

Author: Gaetano Fichera
Publisher: Berlin ; New York : Springer-Verlag, 1965.
Series: Lecture notes in mathematics (Springer-Verlag), 8.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fichera, Gaetano, 1920-
Linear elliptic differential systems and eigenvalue problems.
Berlin, New York, Springer Verlag, 1965
(DLC) 65027796
(OCoLC)649596
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gaetano Fichera
ISBN: 9783540033516 3540033513 9783540371342 3540371346
OCLC Number: 294965744
Description: 1 online resource (176 pages).
Contents: "Well posed" boundary value problems.- Existence principle.- The function spaces and Hm.- The trace operator. Sobolev and Ehrling lemmas.- Elliptic linear systems. Interior regularity.- Existence of local solutions for elliptic systems.- Semiweak solutions of BVP for elliptic systems.- Regularity at the boundary: preliminary lemmas.- Regularity at the boundary: tangential derivatives.- Regularity at the boundary: final results.- The classical elliptic BVP of Mathematical physics: 2nd order linear PDE..- The classical elliptic BVP of Mathematical Physics: Linear Elastostatics.- The classical elliptic BVP of Mathematical Physics: Equilibrium of thin plates.- Strongly elliptic operators. G"rding inequality. Eigenvalue problems.- Eigenvalue problems. The Rayleigh-Ritz method.- The Weinstein-Aronszajn method.- Construction of the intermediate operators.- Orthogonal invariants of positive compact operators.- Upper approximation of the eigenvalues of a PCO. Representation of orthogonal invariants.- Explicit construction of the Green's matrix for an elliptic system.- Erratum.
Series Title: Lecture notes in mathematics (Springer-Verlag), 8.
Responsibility: Gaetano Fichera.

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