The Cauchy problem for degenerate parabolic equations with discontinuous drift
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- by Edward D. Conway PDF
- Trans. Amer. Math. Soc. 179 (1973), 239-249 Request permission
Abstract:
The coefficient of the gradient is allowed to be discontinuous but is assumed to satisfy a “one-sided” Lipschitz condition. This condition insures the pathwise uniqueness of the underlying Markov process which in turn yields the existence of a unique stable generalized solution of the parabolic equation. If the data is Lipschitz continuous, then so is the solution.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 179 (1973), 239-249
- MSC: Primary 35K15
- DOI: https://doi.org/10.1090/S0002-9947-1973-0350204-X
- MathSciNet review: 0350204