Relation between growth and regularity of solutions of hypoelliptic equations
HTML articles powered by AMS MathViewer
- by M. Shafii-Mousavi and Z. Zielezny
- Proc. Amer. Math. Soc. 104 (1988), 1103-1110
- DOI: https://doi.org/10.1090/S0002-9939-1988-0929423-3
- PDF | Request permission
Abstract:
For a class of linear partial differential equations with variable coefficients, it is shown that the Gevrey regularity of solutions depends on their growth at infinity.References
- I. M. Gel′fand and G. E. Shilov, Generalized functions. Vol. 2. Spaces of fundamental and generalized functions, Academic Press, New York-London, 1968. Translated from the Russian by Morris D. Friedman, Amiel Feinstein and Christian P. Peltzer. MR 0230128
- V. V. Grušin, The connection between local and global properties of the solutions of hypo-elliptic equations with constant coefficients, Mat. Sb. (N.S.) 66 (108) (1966), 525–550 (Russian). MR 0178249
- Lars Hörmander, Linear partial differential operators, Springer-Verlag, Berlin-New York, 1976. MR 0404822
- François Trèves, Linear partial differential equations with constant coefficients: Existence, approximation and regularity of solutions, Mathematics and its Applications, Vol. 6, Gordon and Breach Science Publishers, New York-London-Paris, 1966. MR 0224958
Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 1103-1110
- MSC: Primary 35H05; Secondary 35B05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0929423-3
- MathSciNet review: 929423