Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Semiclassical Cauchy estimates and applications
HTML articles powered by AMS MathViewer

by Long Jin PDF
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 $h\to 0$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 35J10, 32D15, 58J50
  • Retrieve articles in all journals with MSC (2010): 35J10, 32D15, 58J50
Additional Information
  • Long Jin
  • Affiliation: Department of Mathematics, Evans Hall, University of California, Berkeley, California 94720
  • MR Author ID: 1076590
  • Email: jinlong@math.berkeley.edu
  • Received by editor(s): March 26, 2013
  • Received by editor(s) in revised form: February 2, 2015
  • Published electronically: March 18, 2016
  • © Copyright 2016 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 369 (2017), 975-995
  • MSC (2010): Primary 35J10; Secondary 32D15, 58J50
  • DOI: https://doi.org/10.1090/tran/6715
  • MathSciNet review: 3572261