A Sturmian theorem for first order partial differential equations
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- by Pui Kei Wong PDF
- Trans. Amer. Math. Soc. 166 (1972), 125-131 Request permission
Abstract:
A pair of first order partial differential equations is considered. The system is transformed into a single nonlinear scalar equation of the Riccati type from which some Wirtinger type integral inequalities for functions of several variables are derived. A comparison theorem for two such pairs of first order equations is then proved using the Wirtinger inequalities.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 166 (1972), 125-131
- MSC: Primary 35P05
- DOI: https://doi.org/10.1090/S0002-9947-1972-0294911-5
- MathSciNet review: 0294911