Vanishing order of solutions to Schrodinger equation

Abstract

We study the possible vanishing order of solutions to Schrodinger equation in case the potential is a bounded function. We give an upper bound on compact manifold. We also show that this result is sharp.

Adding a crucial reference ([10] in the list) where a similar work of C. A. Kenig has been done. Though, both the upper bound and its sharpen are already known, our method is a bit more general, and give a slightly more specific example