An estimate for solutions to the Schrodinger equation
dc.contributor.author | Makin, Alexander | |
dc.contributor.author | Thompson, Bevan | |
dc.date.accessioned | 2021-04-12T15:55:46Z | |
dc.date.available | 2021-04-12T15:55:46Z | |
dc.date.issued | 2004-03-10 | |
dc.description.abstract | In this note, we find a priori estimates in the L<sub>2</sub>-norm for solutions to the Schrödinger equation with a parameter. It is shown that a constant occurring in the inequality does not depend on the value of the parameter. In particular, the estimate is valid for eigenfunctions associated with the Schrödinger operator with arbitrary boundary conditions. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 8 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Makin, A., & Thompson, B. (2004). An estimate for solutions to the Schrodinger equation. Electronic Journal of Differential Equations, 2004(34), pp. 1-8. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/13362 | |
dc.language.iso | en | |
dc.publisher | Southwest Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
dc.subject | Schrodinger operator | |
dc.subject | Spectral parameter | |
dc.subject | Eigenfunction | |
dc.title | An estimate for solutions to the Schrodinger equation | |
dc.type | Article |