Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type

Authors

Mithun Bhowmik, Indian Institute of Science
Swagato K. Ray, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Annali Di Matematica Pura Ed Applicata

Abstract

We study unique continuation inequalities for the free Schrödinger equation in the context of Riemannian symmetric spaces of noncompact type. The results imply that if the solution is small at two different times outside sets of finite measure, then the solution is small in the whole space. On the Euclidean spaces, these inequalities are equivalent to certain uncertainty principles in harmonic analysis.

First Page

331

Last Page

343

DOI

10.1007/s10231-023-01365-4

Publication Date

2-1-2024

Recommended Citation

Bhowmik, Mithun and Ray, Swagato K., "Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type" (2024). Journal Articles. 5175.
https://digitalcommons.isical.ac.in/journal-articles/5175