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Hyperbolic parabolic equations with nonlinearity of Kirchhoff-Carrier type. (English) Zbl 0866.35072

The author considers the Cauchy problem for a nonlinear hyperbolic-parabolic equation of Kirchhoff type. Using a diagonalization theorem, she proves the existence of local generalized solutions.

MSC:

35L80 Degenerate hyperbolic equations
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