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 ? > 0, let u? : ? ? R 2 be a solution of the Ginzburg-Landau system ??u? = 1 ? 2 u?(1 ? |u?| 2) in a Lipschitz bounded domain ?. In an energy regime that excludes interior vortices, we prove that 1 ? |u?| 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.