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Existence and uniqueness for the half-space Ginzburg–Landau model

✍ Scribed by Catherine Bolley; P.Del Castillo

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
434 KB
Volume
47
Category
Article
ISSN
0362-546X

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Uniqueness of weak solutions in critical
Uniqueness of weak solutions in critical space of the 3-D time-dependent Ginzburg-Landau equations for superconductivity
✍ Jishan Fan; Hongjun Gao 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB 👁 1 views

## Abstract We prove the uniqueness of weak solutions of the 3‐D time‐dependent Ginzburg‐Landau equations for super‐conductivity with initial data (__ψ__~0~, __A__~0~)∈ __L__^2^ under the hypothesis that (__ψ__, __A__) ∈ __L__^__s__^(0, __T__; __L__^__r__,∞^) ×$ L^{\bar s} $(0, __T__;$ L^{\bar r,