Quantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation

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dc.contributor.authorKukavica, Igor
dc.date.accessioned2019-12-20T20:30:44Z
dc.date.available2019-12-20T20:30:44Z
dc.date.issued2000-10-02
dc.description.abstractIn this paper, we provide a sharp upper bound for the maximal order of vanishing for non-minimizing solutions of the Ginzburg-Landau equation Δu = -1/∈2 (1 - |u|2)u which improves our previous result [12]. An application of this result is a sharp upper bound for the degree of any vortex. We treat Dirichlet (homogeneous and non-homogeneous) as well as Neumann boundary conditions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKukavica, I. (2000). Quantitative uniqueness and vortex degree estimates for solutions of the Ginzburg-Landau equation. <i>Electronic Journal of Differential Equations, 2000</i>(61), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9124
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectUnique continuation
dc.subjectVortices
dc.subjectGinzburg-Landau equation
dc.titleQuantitative Uniqueness and Vortex Degree Estimates for Solutions of the Ginzburg-Landau Equation
dc.typeArticle

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