An estimate for solutions to the Schrodinger equation

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dc.contributor.authorMakin, Alexander
dc.contributor.authorThompson, Bevan
dc.date.accessioned2021-04-12T15:55:46Z
dc.date.available2021-04-12T15:55:46Z
dc.date.issued2004-03-10
dc.description.abstractIn 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.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMakin, A., & Thompson, B. (2004). An estimate for solutions to the Schrodinger equation. <i>Electronic Journal of Differential Equations, 2004</i>(34), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13362
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSchrodinger operator
dc.subjectSpectral parameter
dc.subjectEigenfunction
dc.titleAn estimate for solutions to the Schrodinger equation
dc.typeArticle

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