Gronwall’s inequality in $n$ independent variables
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- by Eutiquio C. Young PDF
- Proc. Amer. Math. Soc. 41 (1973), 241-244 Request permission
Abstract:
The paper presents an extension of Gronwall’s inequality to $n$ independent variables. The inequality is established by solving a characteristic initial value problem by the Riemann method. Thus a Riemann function associated with a hyperbolic partial differential equation appears in the inequality. By using a representation of the Riemann function, the result is shown to coincide with an earlier result obtained by Walter using an entirely different approach.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 41 (1973), 241-244
- MSC: Primary 35B45
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320493-1
- MathSciNet review: 0320493