Long Jin
Published 2013-02-21Version 1
In this note, we study solutions to semiclassical Schrodinger equations on a real analytic manifold with a real analytic potential and prove the semiclassical version of Cauchy estimates on derivatives. As an application, we use Donnelly and Fefferman's method to prove the upper and lower bounds for (n-1)-dimensional Hausdorff measure of the nodal sets of the solutions to semiclassical Schrodinger equations.
A Liouville theorem of degenerate elliptic equation and its application
A New Multiscale Representation for Shapes and Its Application to Blood Vessel Recovery
Five lectures on optimal transportation: Geometry, regularity and applications
![QR code for arXiv:1302.5363 [math.AP]](http://oss.arxitics.com/images/favicon.svg)