Linear Elliptic Differential Systems and Eigenvalue Problems (Lecture Notes in Mathematics, 8, Band 8) - Softcover

Fichera, Gaetano

 
9783540033516: Linear Elliptic Differential Systems and Eigenvalue Problems (Lecture Notes in Mathematics, 8, Band 8)
Softcover
ISBN 10: 3540033513 ISBN 13: 9783540033516
Verlag: Springer, 2009

Inhaltsangabe

"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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540033513
ISBN 13 
9783540033516
Einband
Taschenbuch
Anzahl der Seiten
180
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