Hardy's uncertainty principle, convexity and Schrödinger evolutions

DOI10.4171/JEMS/134zbMath1158.35018arXiv0802.1608OpenAlexW2014055000MaRDI QIDQ952509

Carlos E. Kenig, Luis Escauriaza, Gustavo Ponce, Luis Vega

Publication date: 12 November 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1608

zbMATH Keywords

Schrödinger equationsunique continuationlogarithmic convexitylinear and nonlinear Schrödinger equations

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Continuation and prolongation of solutions to PDEs (35B60)

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Cites Work

• \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations
• Carleman type estimates in an anisotropic case and applications
• A survey on uncertainty principles related to quadratic forms
• On uniqueness properties of solutions of the \(k\)-generalized KdV equations
• Convexity properties of solutions to the free Schrödinger equation with Gaussian decay
• Semigroups of linear operators and applications to partial differential equations
• On the unique continuation of solutions to the generalized KdV equation
• Uncertainty principles on certain Lie groups
• Uniqueness properties of solutions of Schrödinger equations
• On unique continuation for nonlinear Schrödinger equations
• Sur l'unicité réctrograde dans les problèmes mixtes paraboliques.
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