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Heat-flow monotonicity
of Strichartz norms
Jonathan Bennett, Neal Bez, Anthony Carbery and Dirk Hundertmark |
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Vol. 2 (2009), No. 2, 147–158
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Abstract |
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Our main result is that for the classical Strichartz norm associated to the free Schrödinger equation is nondecreasing as the initial datum evolves under a certain quadratic heat flow. |
Keywords
heat flow, Strichartz estimates, Schrödinger equation
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Mathematical Subject Classification 2000
Primary: 35K05, 35Q40
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Milestones
Received: 15 October 2008
Revised: 26 January 2009
Accepted: 24 March 2009
Published: 1 May 2009
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Authors |
| Jonathan Bennett | |
| School of Mathematics The University of Birmingham The Watson Building Edgbaston Birmingham, B15 2TT United Kingdom |
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| Neal Bez | |
| Department of Mathematics University Gardens University of Glasgow, G12 8QW United Kingdom |
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| Anthony Carbery | |
| School of Mathematics and Maxwell
Institute for Mathematical Sciences The University of Edinburgh James Clerk Maxwell Building The King’s Buildings Edinburgh, EH3 9JZ United Kingdom |
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| Dirk Hundertmark | |
| Department of Mathematics and
Institute for Condensed Matter Theory Altgeld Hall University of Illinois at Urbana–Champaign Urbana, IL 61801 United States |
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