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Linear Elliptic Differential Systems and Eigenvalue Problems de Gaetano Fichera

Linear Elliptic Differential Systems and Eigenvalue Problems: Lecture Notes in Mathematics, cartea 8

Autor Gaetano Fichera
en Limba Engleză Paperback – 1965

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Specificații

ISBN-13: 9783540033516
ISBN-10: 3540033513
Pagini: 180
Ilustrații: IV, 177 p.
Dimensiuni: 210 x 279 x 9 mm
Greutate: 0.26 kg
Ediția:1965
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

“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.