Geodesic
On the Cauchy problem and $T$-products for hypoelliptic systems
Izvestiya. Mathematics , Tome 20 (1983) no. 3, pp. 577-609

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The Cauchy problem is studied for systems of pseudodifferential hypoelliptic equations. An existence and uniqueness theorem is established for the solution, the asymptotic behavior of the solution as $t\to0$ is examined, and various representations of the solution in the form of $T$-products of operators are studied. Bibliography: 18 titles. 
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     author = {I. A. Shishmarev},
     title = {On the {Cauchy} problem and $T$-products for hypoelliptic systems},
     journal = {Izvestiya. Mathematics },
     pages = {577--609},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {1983},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1983_20_3_a7/}
}
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I. A. Shishmarev. On the Cauchy problem and $T$-products for hypoelliptic systems. Izvestiya. Mathematics , Tome 20 (1983) no. 3, pp. 577-609. http://geodesic.mathdoc.fr/item/IM2_1983_20_3_a7/