Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy
(2020)
Journal Article
Ignat, R., Kurzke, M., & Lamy, X. (2020). Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy. SIAM Journal on Mathematical Analysis, 52(1), 524-542. https://doi.org/10.1137/19m1262978
For ε > 0, let uε : Ω → R 2 be a solution of the Ginzburg-Landau system −∆uε = 1 ε 2 uε(1 − |uε| 2) in a Lipschitz bounded domain Ω. In an energy regime that excludes interior vortices, we prove that 1 − |uε| is uniformly estimated by a positive powe... Read More about Global Uniform Estimate for the Modulus of Two-Dimensional Ginzburg-Landau Vortexless Solutions with Asymptotically Infinite Boundary Energy.