Uniqueness Properties of Solutions to Schrödinger Equations

2011/10/21 by Luis Escauriaza, Escauriaza, Luis, Carlos E. Kenig +5 · 2 citations
Mathematics · #35B60 #35J10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP #msc:35B60 #msc:35J10

paper · pdf · doi:10.48550/arxiv.1110.4873

openalex publication_date 2011/10/21 · arxiv created 2011/12/08 · arxiv updated 2011/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we shall review some of our recent results concerning unique continuation properties of solutions of Schrödinger equations. In this equations we include linear ones with a time depending potential and semi-linear ones.

Citations

• On localization in the continuous Anderson-Bernoulli model in higher dimension
• L 3,∞ -solutions of the Navier-Stokes equations and backward uniqueness
• Existence of solitary waves in higher dimensions

Cited by

• Unique continuation and Hardy's uncertainty principle for hyperbolic Schrödinger equations
• Uncertainty principles for free metaplectic transformation and associated metaplectic operators

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