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Well-posedness of many-dimensional Darboux problems for degenerating hyperbolic equations

✍ Scribed by S. A. Aldashev


Book ID
112474695
Publisher
Springer
Year
1994
Tongue
English
Weight
419 KB
Volume
46
Category
Article
ISSN
0041-5995

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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