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The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types

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Abstract

Collapse in finite time is established for part of the solutions of certain classes of quasilinear equations of parabolic and hyperbolic types, the linear part of which has general form. Certain hyperbolic equations having L-M pairs belong to these classes.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 69, pp. 77–102, 1977.

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Kalantarov, V.K., Ladyzhenskaya, O.A. The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types. J Math Sci 10, 53–70 (1978). https://doi.org/10.1007/BF01109723

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  • DOI: https://doi.org/10.1007/BF01109723

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