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Some examples of hypoelliptic partial differential equations. (English) Zbl 0323.35019

MSC:
35H10 Hypoelliptic equations
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References:
[1] Gilioli, A., Treves, F.: An example in the solvability theory of linear PDE’s. Am. J. Math.96, 367-385 (1974) · Zbl 0308.35022 · doi:10.2307/2373639
[2] Gru?in, V.: On a class of hypoelliptic operators. Mat. Sbornik83 (125), 456-473 (1970) (In Russian)
[3] Hartman, P.: Ordinary differential equations. New York: Wiley 1964 or Baltimore: Hartman 1973 · Zbl 0125.32102
[4] Hörmander, L.: Linear Partial Differential Operators. Berlin, Heidelberg, New York: Springer 1969 · Zbl 0175.39201
[5] Treves, F.: Topological vector spaces, distributions and kernels. New York: Academic Press 1967
[6] Treves, F.: A new method of proof of the subelliptic estimates. Comm. Pure Appl. Math.24, 71-115 (1974) · Zbl 0206.11401 · doi:10.1002/cpa.3160240107
[7] Yamamoto, K.: Parametricies for pseudo-differential operators with double characteristics (to appear)
[8] Whittaker, E., Watson, G.: A course of modern analysis. Cambridge: Cambridge U.P. 1952 · JFM 45.0433.02
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