Linear Elliptic Differential Systems and Eigenvalue Problems

1965
ISBN: 978-3-540-03351-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 8, 177 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 283 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Fichera, Gaetano

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

“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.