Linear Elliptic Differential Systems and Eigenvalue Problems
Springer Berlin (Verlag)
978-3-540-03351-6 (ISBN)
"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.
| Erscheint lt. Verlag | 1.1.1965 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | IV, 177 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 210 x 279 mm |
| Gewicht | 263 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Schlagworte | Approximation • Boundary value problem • BVP • Derivative • eigenvalue • eigenvalue problem • Function • Invariant • Mathematica • Mathematical Physics • Matrix • partial differential equation |
| ISBN-10 | 3-540-03351-3 / 3540033513 |
| ISBN-13 | 978-3-540-03351-6 / 9783540033516 |
| Zustand | Neuware |
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