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A class of second-order evolution equations with double characteristics. (English) Zbl 0327.35018

MSC:
35H10 Hypoelliptic equations
47Gxx Integral, integro-differential, and pseudodifferential operators
34G99 Differential equations in abstract spaces
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References:
[1] A. Gilioli - F. Trèves , An example in the solvability theory of linear partial differential equations , Amer. J. of Math. , 96 ( 1974 ), pp. 367 - 385 . MR 355285 | Zbl 0308.35022 · Zbl 0308.35022 · doi:10.2307/2373639
[2] L.B. De Monvel - F. Trèves , On a class of pseudodifferential operators with double characteristics , (to appear). Zbl 0281.35083 · Zbl 0281.35083 · doi:10.1007/BF01418785 · eudml:142267
[3] F. Trèves , Concatenations of second-order evolution equations applied to local solvability and hypoellipticity , Comm. Pure Appl. Math. , 26 ( 1973 ), pp. 201 - 250 . MR 340804 | Zbl 0266.35060 · Zbl 0266.35060 · doi:10.1002/cpa.3160260206
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