dorsal/arxiv
View SchemaNonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential
| Authors | P. G. Grinevich |
|---|---|
| Categories | |
| ArXiv ID | solv-int/9509010 |
| URL | https://arxiv.org/abs/solv-int/9509010 |
Abstract
We study the direct spectral transform for the heat equation, associated with the KP-2 equation. We show, that for real nonsingular exponentially decaying at infinity potentials the direct problem is nonsingular for arbitrary large potentials. Earlier this statement was proved only for potentials, satisfying the ``small norm'' assumption.
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"abstract": "We study the direct spectral transform for the heat equation, associated with\nthe KP-2 equation. We show, that for real nonsingular exponentially decaying at\ninfinity potentials the direct problem is nonsingular for arbitrary large\npotentials. Earlier this statement was proved only for potentials, satisfying\nthe ``small norm\u0027\u0027 assumption.",
"arxiv_id": "solv-int/9509010",
"authors": [
"P. G. Grinevich"
],
"categories": [
"solv-int",
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"title": "Nonsingularity of the direct scattering transform for the KP-2 equation with real exponentially decaying at infinity potential",
"url": "https://arxiv.org/abs/solv-int/9509010"
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