Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 34, pp. 1-8.
Title: An estimate for solutions to the Schrodinger equation
Authors: Alexander Makin (Moscow State Acad. of Instr.-Making, Russia)
Bevan Thompson (The Univ. of Queensland, Australia)
Abstract:
In this note, we find a priori estimates in the $L_2$-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.