Differential and Integral Equations
- Differential Integral Equations
- Volume 20, Number 3 (2007), 325-338.
A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity
We prove global well-posedness for the Gross-Pitaevskii equation on the plane for classes of initial data having nonzero topological degree at infinity and therefore infinite Ginzburg-Landau energy. These classes allow us to consider arbitrary configurations of vortices as initial data. Our work follows recent results of Patrick Gérard  and Clément Gallo , where the finite energy regime is treated.
Differential Integral Equations, Volume 20, Number 3 (2007), 325-338.
First available in Project Euclid: 20 December 2012
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Bethuel, Fabrice; Smets, Didier. A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity. Differential Integral Equations 20 (2007), no. 3, 325--338. https://projecteuclid.org/euclid.die/1356039505