Global solutions to vortex density equations arising from sup-conductivity
Nader Masmoudi, Ping Zhang (2005)
Annales de l'I.H.P. Analyse non linéaire
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Nader Masmoudi, Ping Zhang (2005)
Annales de l'I.H.P. Analyse non linéaire
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Doria, Celso Melchiades (2005)
Boundary Value Problems [electronic only]
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Axel Grünrock (2010)
Open Mathematics
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The Cauchy problem for the higher order equations in the mKdV hierarchy is investigated with data in the spaces defined by the norm . Local well-posedness for the jth equation is shown in the parameter range 2 ≥ 1, r > 1, s ≥ . The proof uses an appropriate variant of the Fourier restriction norm method. A counterexample is discussed to show that the Cauchy problem for equations of this type is in general ill-posed in the C 0-uniform sense, if s < . The results for r =...
Anton Arnold, Elidon Dhamo, Chiara Manzini (2007)
Annales de l'I.H.P. Analyse non linéaire
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Oleg Yu. Imanuvilov, Masahiro Yamamoto (2005)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper, we establish Carleman estimates for the two dimensional isotropic non-stationary Lamé system with the zero Dirichlet boundary conditions. Using this estimate, we prove the uniqueness and the stability in determining spatially varying density and two Lamé coefficients by a single measurement of solution over , where is a sufficiently large time interval and a subdomain satisfies a non-trapping condition.
Elena Bonetti, Giovanna Bonfanti (2008)
Annales de l'I.H.P. Analyse non linéaire
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