global solutions for 3d nonlocal gross-pitaevskii equations with rough data
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ID: 244832
2012
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Abstract
We study the Cauchy problem for the Gross-Pitaevskii equation with a nonlocal interaction potential of Hartree type in three space dimensions. If the potential is even and positive definite or a positive function and its Fourier transform decays sufficiently rapidly the problem is shown to be globally well-posed for large rough data which not necessarily have finite energy and also in a situation where the energy functional is not positive definite. The proof uses a suitable modification of the I-method.
| Reference Key |
pecher2012electronicglobal
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| Authors | ;Hartmut Pecher |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2012 |
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