We propose an approximation scheme for complex-valued functions defined on a smooth domain Ω: the approximating functions have a Ginzburg–Landau energy of the same magnitude as the initial function, but they possess moreover improved bounds on vorticity. As an application, we obtain a variant of a Jacobian estimate first established by Jerrard and Soner. This variant was conjectured by Bourgain, Brezis and Mironescu.
Titolo: | Approximations with vorticity bounds for the Ginzburg-Landau functional | |
Autori: | ||
Data di pubblicazione: | 2004 | |
Rivista: | ||
Abstract: | We propose an approximation scheme for complex-valued functions defined on a smooth domain Ω: the approximating functions have a Ginzburg–Landau energy of the same magnitude as the initial function, but they possess moreover improved bounds on vorticity. As an application, we obtain a variant of a Jacobian estimate first established by Jerrard and Soner. This variant was conjectured by Bourgain, Brezis and Mironescu. | |
Handle: | http://hdl.handle.net/11562/18371 | |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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