Alexander Makin & Bevan Thompson
Abstract:
In this note, we find a priori estimates in the
-norm for solutions
to the Schrodinger equation with a parameter.
It is shown that a constant occuring in the inequality does not depend
on the value of the parameter.
In particular, the estimate is valid for eigenfunctions associated
with the Schrodinger operator with arbitrary boundary conditions.
Submitted May 29, 2003. Published March 10, 2004.
Math Subject Classifications: 35B45, 35J10.
Key Words: Schrodinger operator, spectral parameter, eigenfunction.
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Alexander Makin Moscow State Academy of Instrument-Making and Informatics Stromynka 20, 107846, Moscow, Russia email: alexmakin@yandex.ru |
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Bevan Thompson Department of Mathematics, The University of Queensland Brisbane Qld 4072 Australia email: hbt@maths.uq.edu.au |
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