Comparison of Some Solution Concepts for Linear First-order Hyperbolic Differential Equations With Non-smooth Coefficients
Simon Haller, Günther Hörmann (2008)
Publications de l'Institut Mathématique
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Simon Haller, Günther Hörmann (2008)
Publications de l'Institut Mathématique
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Anne-Laure Dalibard (2006)
Annales de l'I.H.P. Analyse non linéaire
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Pavel Krejčí, Lucia Panizzi (2011)
Applications of Mathematics
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Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the diffusion coefficient. The proofs are based on anisotropic estimates in tangential and normal directions, and on a refined variant of the Gronwall lemma.
Dancer, E. N., Lam, Kee Y., Yan, Shusen (2001)
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Garetto, Claudia (2006)
The New York Journal of Mathematics [electronic only]
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Cappiello, M. (2003)
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