Unique continuation inequalities for Schrödinger equation on Riemannian symmetric spaces of noncompact type
Annali di Matematica Pura ed Applicata, ISSN: 1618-1891, Vol: 203, Issue: 1, Page: 331-343
2024
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Article Description
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.
Bibliographic Details
Springer Science and Business Media LLC
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