Keywords
- Finite Order
- Partial Differential Operator
- Principal Symbol
- Fourier Integral Operator
- Principal Type
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bokolza-Haggiag, J., Opérateurs differentials sur une variété différentiable. Ann.Inst.Fourier, Grenoble 19 (1969) pp. 125–177.
Duistermaat, J.J. and Hörmander, L., Fourier Integral Operators II, Acta Math. 128 (1972) pp. 183–269.
Hörmander, L., Fourier integral operators I. Acta Math. 127 (1971) pp. 79–183.
__________, On the theory of general partial differential operators. Acta Math. 94 (1955) pp. 161–248.
_____, Linear partial differential operators, Grundlehren d. Math. Wiss. 116, Springer-Verlag, 1963.
__________, On the existence and the regularity of solutions of linear pseudo-differential equations. L'Ensignement Math. 17 (1971) pp.671–704.
Hörmander, L., Linear differential operators. Actes Cong.Inst.Math. Nice 1970, 1, pp. 121–133.
Nirenberg, L., Pseudo-differential operators. Amer.Math.Soc., Symp. Pure Math. 16 (1970), pp.149–167.
Nirenberg, L. and Trèves, F., Solvability of a first order partial differential equation. Comm. Pure Appl. Math. 14(1963) pp.331–351.
__________, On local solvability of linear partial differential equations. Part I. Necessary conditions. Comm. Pure Appl. Math. 23 (1970) pp. 1–38. Part II. Sufficient conditions. Comm. Pure Appl. Math. 23 (1970) pp. 459–510.
Sato, M., Hyperfunctions and partial differential equations. Proc. Int. Conf. on Functional Analysis, Tokyo, 1969 pp.91–94
__________, Regularity of hyperfunction solutions of partial differential equations. Actes Cong. Int. Math. Nice, 1970, 2, pp. 785–794.
Schwartz, L., Théorie des distributions (3rd édition) 1966, Hermann, Paris.
Trèves, F., Hypoelliptic partial differential equations of principal type. Sufficient conditions and necessary conditions. Comm. Pure Appl. Math. 24 (1971) pp. 631–670.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Dionne, P.A. (1974). Wave front sets and hypoelliptic operators. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063568
Download citation
DOI: https://doi.org/10.1007/BFb0063568
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06869-3
Online ISBN: 978-3-540-37827-3
eBook Packages: Springer Book Archive
