Nonsingularity of the direct scattering transform for the Kadomtsev-Petviashvili 2 equation with real exponentially decaying at infinity potentialстатья
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Дата последнего поиска статьи во внешних источниках: 22 декабря 2014 г.
Аннотация:We study the direct spectral transform for the heat equation associated with the Kadomtsev-Petviashvili. We show that, for real nonsingular exponentially decaying-at-infinity potential, the directproblem is nonsingular for arbitrarily large potentials. Earlier, thisstatement was proved only for potentials satisfying the ‘small norm’assumption.