Abstract Degenerate Cauchy Problems in Locally Convex Spaces

✍ Scribed by Jin Liang; Ti-Jun Xiao

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 116 KB
• Volume: 259
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2000.7406

✦ Synopsis

Bu t s Au t t G 0 , Bu 0 s Bu , where A and B are closed linear operators 0 dt Ž . in a sequentially complete locally convex space. A C-propagation family for DCP Ž . is introduced C is an operator , leading to a general C-wellposedness result about Ž . DCP . Moreover, conditions are given ensuring the existence of C-propagation Ž . families for those DCP with differential operators, on various function spaces with Frechet topologies, as coefficient operators. These results are new even in the ćase of Banach spaces.