Semiclassical Cauchy estimates and applications

Jin, Long

doi:10.1090/tran/6715

Semiclassical Cauchy estimates and applications
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Trans. Amer. Math. Soc. 369 (2017), 975-995 Request permission

Abstract:

In this note, we consider the solutions to semiclassical analytic Schrödinger equations and prove a semiclassical version of the Cauchy estimate. As an application, we study the asymptotics for the Hausdorff measures of the nodal sets of the solutions on a compact analytic manifold as $h\to 0$.

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