Автор |
David H Sattinger |
Автор |
Jacek Szmigielski |
Дата выпуска |
1996-12-01 |
dc.description |
We consider an inverse scattering problem for Schrödinger operators with energy-dependent potentials. The inverse problem is formulated as a Riemann - Hilbert problem on a Riemann surface. A vanishing lemma is proved for two distinct symmetry classes. As an application we prove global existence theorems for the two distinct systems of partial differential equations , for suitably restricted, complementary classes of initial data. Dedicated to Hugh Turrittin on his 90th birthday |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
A Riemann - Hilbert problem for an energy dependent Schrödinger operator |
Тип |
paper |
DOI |
10.1088/0266-5611/12/6/014 |
Electronic ISSN |
1361-6420 |
Print ISSN |
0266-5611 |
Журнал |
Inverse Problems |
Том |
12 |
Первая страница |
1003 |
Последняя страница |
1025 |
Аффилиация |
David H Sattinger; University of Minnesota, Minneapolis, Minnesota 55455, USA; the University of Saskatchewan, Saskatoon, Saskatchewan, Canada |
Аффилиация |
Jacek Szmigielski; University of Minnesota, Minneapolis, Minnesota 55455, USA; the University of Saskatchewan, Saskatoon, Saskatchewan, Canada |
Выпуск |
6 |