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Well-posedness of parabolic differential and difference equations

✍ Scribed by Allaberen Ashyralyev; Yaşar Sözen


Book ID
108077569
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
377 KB
Volume
60
Category
Article
ISSN
0898-1221

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Well-posedness for non-isotropic degener
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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