Abstract

This work is devoted to the description of bounded energy sequences of solutions to the equation (1) □u + |u|4 = 0 in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /], up to remainder terms small in energy norm and in every Strichartz norm. The proof relies on scattering theory for (1) and on a structure theorem for bounded energy sequences of solutions to the linear wave equation. In particular, we infer the existence of an a priori estimate of Strichartz norms of solutions to (1) in terms of their energy.

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Additional Information

ISSN
1080-6377
Print ISSN
0002-9327
Pages
pp. 131-175
Launched on MUSE
1999-02-01
Open Access
No
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