Well-posedness for non-isotropic degener
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Gui-Qiang Chen; Benoı̂t Perthame
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Article
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2003
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Elsevier Science
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English
⚖ 175 KB
We develop a well-posedness theory for solutions in L 1 to the Cauchy problem of general degenerate parabolic-hyperbolic equations with non-isotropic nonlinearity. A new notion of entropy and kinetic solutions and a corresponding kinetic formulation are developed which extends the hyperbolic case. T