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Microlocal partition of energy for linear wave or Schrödinger equations

Abstract : 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 non radial initial data.
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https://hal.archives-ouvertes.fr/hal-03227390
Contributor : Jean-Marc Delort <>
Submitted on : Monday, May 17, 2021 - 11:40:28 AM
Last modification on : Thursday, May 20, 2021 - 3:23:34 AM

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  • HAL Id : hal-03227390, version 1

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Jean-Marc Delort. Microlocal partition of energy for linear wave or Schrödinger equations. 2021. ⟨hal-03227390⟩

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