Ginzburg-Landau Vortices

Affordable, softcover reprint of a classic textbook Authors are well-known specialists in nonlinear functional analysis and partial differential equations Written in a clear, readable style with many examples

Affordable, softcover reprint of a classic textbook Authors are well-known specialists in nonlinear functional analysis and partial differential equations Written in a clear, readable style with many examples

Inhalt
Introduction.- Energy Estimates for S 1 -Valued Maps.- A Lower Bound for the Energy of S 1 -Valued Maps on Perforated Domains.- Some Basic Estimates for u .- Toward Locating the Singularities: Bad Discs and Good Discs.- An Upper Bound for the Energy of u away from the Singularities.- u _ n : u -star is Born! - u -star Coincides with THE Canonical Harmonic Map having Singularities (a j ).- The Configuration (a j ) Minimizes the Renormalization Energy W .- Some Additional Properties of u .- Non-Minimizing Solutions of the Ginzburg-Landau Equation.- Open Problems.

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