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

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Bibliographische Detailangaben
1. Verfasser: Fichera, Gaetano, 1922-1996, mathématicien
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 8
Schlagworte:
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Edition sous un autre format:• Linear Elliptic Differential Systems and Eigenvalue Problems, Texte imprimé, 9783540033516
• Linear Elliptic Differential Systems and Eigenvalue Problems, Texte imprimé, 9783662211571
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.