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A Support Theorem for a Nonlinear Radiation Field

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Microlocal Methods in Mathematical Physics and Global Analysis

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

This note describes work in progress.

We consider the energy-critical semilinear wave equation on \(\mathbb{R} \times {\mathbb{R}}^{3}\):

$$\begin{array}{rcl} \square u + \vert u{\vert }^{4}u& =& 0, \\ (u,{\partial }_{t}u){\vert }_{t=0}& =& (\phi,\psi ).\end{array}$$
(402)

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Author information

Authors and Affiliations

  1. Northwestern University, Evanston, IL, 60208, USA

    Dean Baskin

  2. Purdue University, West Lafayette, IN, 47907, USA

    António Sá Barreto

Authors
  1. Dean Baskin
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  2. António Sá Barreto
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Corresponding author

Correspondence to Dean Baskin .

Editor information

Editors and Affiliations

  1. Ammerländer Heerstr. 114-118, Oldenburg, 26111, Germany

    Daniel Grieser

  2. Inst. Mathematik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany

    Stefan Teufel

  3. , Department of Mathematics, Bldg. 380, Stanford University, 450, Serra Mall, Stanford, 94305-2125, California, USA

    Andras Vasy

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Baskin, D., Barreto, A.S. (2013). A Support Theorem for a Nonlinear Radiation Field. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_25

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