Discontinuous ``viscosity'' solutions of a degenerate parabolic equation

Authors:
Michiel Bertsch, Roberta Dal Passo and Maura Ughi

Journal:
Trans. Amer. Math. Soc. **320** (1990), 779-798

MSC:
Primary 35K55; Secondary 35Bxx

MathSciNet review:
965742

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Abstract: We study a nonlinear degenerate parabolic equation of the second order. Regularizing the equation by adding some artificial viscosity, we construct a generalized solution. We show that this solution is not necessarily continuous at all points.

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DOI:
https://doi.org/10.1090/S0002-9947-1990-0965742-6

Article copyright:
© Copyright 1990
American Mathematical Society