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Dispersive estimates,
blow-up and failure of Strichartz estimates for the
Schrödinger equation with slowly decaying initial data
Rainer Mandel |
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Vol. 2 (2020), No. 2, 519–532
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Abstract |
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The initial value problem for the homogeneous Schrödinger equation is investigated for radially symmetric initial data with slow decay rates and not too wild oscillations. Our global well-posedness results apply to initial data for which Strichartz estimates fail. |
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Keywords
Schrödinger equation, failure of Strichartz estimates,
dispersive blow-up
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Mathematical Subject Classification 2010
Primary: 35Q41
Secondary: 35B40, 35B44
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Milestones
Received: 3 November 2019
Revised: 21 January 2020
Accepted: 21 February 2020
Published: 22 May 2020
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Authors |
| Rainer Mandel | |
| Karlsruhe Institute of
Technology Institute for Analysis Karlsruhe Germany |
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