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Collapse of the solutions of parabolic and hyperbolic equations with nonlinear boundary conditions

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Abstract

It is shown that the solutions of linear and quasilinear equations of parabolic and hyperbolic type may collapse because of the presence of nonlinearities in the boundary conditions.

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Literature cited

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Authors
  1. V. K. Kalantarov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 127, pp. 75–83, 1983.

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Kalantarov, V.K. Collapse of the solutions of parabolic and hyperbolic equations with nonlinear boundary conditions. J Math Sci 27, 2601–2606 (1984). https://doi.org/10.1007/BF01103721

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  • DOI: https://doi.org/10.1007/BF01103721

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