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Local well-posedness for hyperbolic–elliptic Ishimori equation

✍ Scribed by Yuzhao Wang


Book ID
113699360
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
328 KB
Volume
252
Category
Article
ISSN
0022-0396

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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