The identity of weak and strong extensions of pseudo-differential operators
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- by Fernando Cardoso PDF
- Proc. Amer. Math. Soc. 29 (1971), 118-122 Request permission
Abstract:
In this paper we consider first order Kohn and Nirenberg pseudo-differential operators, define their weak and strong ${L_2}$ extensions and prove, by standard mollifiers and Fourier transform techniques, the identity between them.References
- K. O. Friedrichs, The identity of weak and strong extensions of differential operators, Trans. Amer. Math. Soc. 55 (1944), 132–151. MR 9701, DOI 10.1090/S0002-9947-1944-0009701-0
- J. J. Kohn and L. Nirenberg, An algebra of pseudo-differential operators, Comm. Pure Appl. Math. 18 (1965), 269–305. MR 176362, DOI 10.1002/cpa.3160180121
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 118-122
- MSC: Primary 47.70
- DOI: https://doi.org/10.1090/S0002-9939-1971-0275238-9
- MathSciNet review: 0275238