CONSERVATIVE DYNAMICAL SYSTEM IN A POLYHEDRAL ANGLE - EXISTENCE OF DYNAMICS

Authors
SOLOVEITCHIK M
Citation
M. Soloveitchik, CONSERVATIVE DYNAMICAL SYSTEM IN A POLYHEDRAL ANGLE - EXISTENCE OF DYNAMICS, Nonlinearity, 8(3), 1995, pp. 367-378
Citations number
5
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
8
Issue
3
Year of publication
1995
Pages
367 - 378
Database
ISI
SICI code
0951-7715(1995)8:3<367:CDSIAP>2.0.ZU;2-U
Abstract
We consider a conservative system contained in a polyhedral angle and assume elastic interaction with the boundary. We propose an elementary proof of the fact that the corresponding dynamics is well defined alm ost everywhere with respect to Lebesgue measure. In particular cases w e obtain results concerning topological characterization of the set co nsisting of singular initial conditions. Some relevant examples are in dicated.