NULL BOUNDARY CONTROLLABILITY FOR SEMILINEAR HEAT-EQUATIONS

Authors
GUO YJL LITTMAN W
Citation
Yjl. Guo et W. Littman, NULL BOUNDARY CONTROLLABILITY FOR SEMILINEAR HEAT-EQUATIONS, Applied mathematics & optimization, 32(3), 1995, pp. 281-316
Citations number
30
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics & optimization → ACNP
ISSN journal
00954616
Volume
32
Issue
3
Year of publication
1995
Pages
281 - 316
Database
ISI
SICI code
0095-4616(1995)32:3<281:NBCFSH>2.0.ZU;2-P
Abstract
We consider null boundary controllability for one-dimensional semiline ar heat equations. We obtain null boundary controllability results for semilinear equations when the initial data is bounded continuous and sufficiently small. In this work we also prove a version of the nonlin ear Cauchy-Kowalevski theorem.