LACK OF GENERATION OF STRONGLY CONTINUOUS SEMIGROUPS BY THE DAMPED WAVE OPERATOR ON H X H (OR - THE LITTLE ENGINE THAT COULDNT)

Authors
BALAKRISHNAN AV TRIGGIANI R
Citation
Av. Balakrishnan et R. Triggiani, LACK OF GENERATION OF STRONGLY CONTINUOUS SEMIGROUPS BY THE DAMPED WAVE OPERATOR ON H X H (OR - THE LITTLE ENGINE THAT COULDNT), Applied mathematics letters, 6(6), 1993, pp. 33-37
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
6
Issue
6
Year of publication
1993
Pages
33 - 37
Database
ISI
SICI code
0893-9659(1993)6:6<33:LOGOSC>2.0.ZU;2-U
Abstract
We show that (in the unbounded case) the wave operator, or more genera lly, a wave operator with damping strictly less than the basic operato r does not generate a strongly continuous semigroup on the product spa ce H x H, contrary to a common belief.