REPRESENTATION AND APPROXIMATION FOR THE SOLUTIONS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH UNBOUNDED OPERATOR COEFFICIENTS IN HILBERT-SPACE

Authors
GAVRILYUK IP MAKAROV VL
Citation
Ip. Gavrilyuk et Vl. Makarov, REPRESENTATION AND APPROXIMATION FOR THE SOLUTIONS OF 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH UNBOUNDED OPERATOR COEFFICIENTS IN HILBERT-SPACE, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 527-528
Citations number
NO
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
2
Pages
527 - 528
Database
ISI
SICI code
0044-2267(1996)76:<527:RAAFTS>2.0.ZU;2-Y
Abstract
The present paper deals with abstract second order differential equati ons in both elliptic and hyperbolic cases. Our aim is to get some expl icit representations and approximations of the solutions which are sui table for algorithmic processing. Error estimates are given which show that the accuracy of the approximate solution automatically depends o n the regularity of the initial data.