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Microlocal partition
of energy for linear wave or Schrödinger equations
Jean-Marc Delort |
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Vol. 4 (2022), No. 2, 329–385
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Abstract |
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We prove a microlocal partition of energy for solutions to linear half-wave or Schrödinger equations in any space dimension. This extends well-known (local) results valid for the wave equation outside the wave cone, and allows us in particular, in the case of even dimension, to generalize the radial estimates due to Côte, Kenig and Schlag to nonradial initial data. |
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Keywords
wave equation, Schrödinger equation, channels of energy,
microlocal analysis
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Mathematical Subject Classification
Primary: 35L05
Secondary: 35Q41
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Milestones
Received: 25 May 2021
Accepted: 6 January 2022
Published: 24 August 2022
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Authors |
| Jean-Marc Delort | |
| Département de Mathématiques Université Paris XIII (Sorbonne Paris-Nord) Villetaneuse France |
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