Qinglan Bao, Guangsheng Wei, Anton Zettl
Abstract:
For singular even order symmetric differential operators we find the
matrices which determine all symmetric extensions of the minimal
operator. And for each of these symmetric operators which is bounded
below we find the boundary condition of its Friedrichs extension.
The operators of regular problems are bounded below and thus each one has
a symmetric extension and thus its symmetric extension has a Friedrichs extension.
Published March 27, 2023.
Math Subject Classifications: 34B24, 34L15, 34B08, 34L05.
Key Words: Friedrichs extension; regular differential expression; boundary matrix.
DOI: https://doi.org/10.58997/ejde.sp.02.b1
Show me the PDF file (393 K), TEX file for this article.
| Qinglan Bao School of Mathematics and Statistics Shaanxi Normal University Xi'an 710062, China email: baoqinglan19@163.com | |
| Guangsheng Wei School of Mathematics and Statistics Shaanxi Normal University Xi'an 710062, China email: weimath@vip.sina.com | |
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Anton Zettl Department of Mathematical Sciences Northern Illinois University DeKalb, Il 60115, USA email: zettl@msn.com |
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