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A weak form of the soliton resolution conjecture for high-dimensional fourth-order Schrodinger equations | Tristan Roy
; | Date: |
2 Aug 2015 | Abstract: | We prove a weak form of the soliton resolution conjecture of bounded
solutions of high-dimensional fourth-order Schrodinger equations. The result
relies upon two properties to be proved: the asymptotic frequency localization
and the asymptotic spatial localization. In order to prove the asymptotic
frequency localization we use the fact that the high frequency pieces of the
free solution have better dispersive properties than then lower ones. In order
to prove the asymptotic spatial localization, we use the symmetries of the
phase of the fundamental solution. | Source: | arXiv, 1508.0204 | Services: | Forum | Review | PDF | Favorites |
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