A canonical transformation near a boundary point
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- by L. Sarason PDF
- Proc. Amer. Math. Soc. 48 (1975), 189-192 Request permission
Abstract:
A local homogeneous canonical transformation is constructed which straightens a curved boundary and freezes the coefficients of the principal part of a pseudo-differential operator in the neighborhood of a nonglancing ray.References
- J. J. Duistermaat and L. Hörmander, Fourier integral operators. II, Acta Math. 128 (1972), no. 3-4, 183–269. MR 388464, DOI 10.1007/BF02392165
- Lars Hörmander, On the existence and the regularity of solutions of linear pseudo-differential equations, Enseign. Math. (2) 17 (1971), 99–163. MR 331124
- Louis Nirenberg, Lectures on linear partial differential equations, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 17, American Mathematical Society, Providence, R.I., 1973. Expository Lectures from the CBMS Regional Conference held at the Texas Technological University, Lubbock, Tex., May 22–26, 1972. MR 0450755
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 189-192
- MSC: Primary 35A30; Secondary 35S05, 47G05
- DOI: https://doi.org/10.1090/S0002-9939-1975-0380067-5
- MathSciNet review: 0380067