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Approximation of eigenfunctions of elliptic differential operators

✍ Scribed by Leonardo Colzani; Federica Masiero

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
170 KB
Volume
123
Category
Article
ISSN
0021-9045

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✦ Synopsis

Eigenfunctions of elliptic boundary value problems can be well approximated by entire functions of exponential type and, as a consequence, it is possible to transfer approximation results with entire functions to eigenfunction expansions. Here, in particular, we consider Jackson and Bernstein type theorems.

πŸ“œ SIMILAR VOLUMES

Integral theorems for eigenfunctions of
Integral theorems for eigenfunctions of second-order elliptic differential operators
✍ E. MΓΌller-Pfeiffer; J. Staude πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 467 KB πŸ‘ 1 views

HILBERT space L,(D) where the coefficients always fulfil the following conditions. ## i) ii) a@), q(z) E Cl(l2) and real-valued, a&) = a@), x E D, ( 7) Denoting the domain of the FRIEDRICHS extension A by D(A) we have W ) r H A . 5 mR"). 1) W#W) is the completion of Com(Rn) in the norm Ilullw&BT8