On a class of Lipschitz continuous functions of several variables
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- by Tran Duc Van and Nguyen Duy Thai Son
- Proc. Amer. Math. Soc. 121 (1994), 865-870
- DOI: https://doi.org/10.1090/S0002-9939-1994-1227530-4
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Abstract:
We establish an estimate via initial values for functions in a class of Lipschitz continuous functions of several variables. This estimate can be used to investigate the uniqueness of quasi-classical solutions of Cauchy problems for first-order nonlinear partial differential equations (PDEs). Particularly, we give an answer to an open problem posed by S. N. Kružkov.References
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Bibliographic Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 865-870
- MSC: Primary 26D10
- DOI: https://doi.org/10.1090/S0002-9939-1994-1227530-4
- MathSciNet review: 1227530