Classical solutions of hyperbolic partial differential equations with implicit mixed derivative
Salvatore A. Marano (1992)
Annales Polonici Mathematici
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Displaying similar documents to “Large time behavior for nonlinear higher order convection–diffusion equations”
Classical solutions of hyperbolic partial differential equations with implicit mixed derivative
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Pavel Krejčí, Lucia Panizzi (2011)
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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.