Mapping properties of quasielliptic operators and applications (Q2379091)

The classes of matrix quasielliptic operators are studied. The results are used to prove solvability the Cauchy problem for certain class of systems of differential equations. The paper generalizes the previous results of the author [Sib. Mat. Zh. 42, No. 5, 1036--1056 (2001); translation in Sib. Math. J. 42, No. 5, 865--883 (2001; Zbl 0988.35046); Dokl. Math. 68, No. 1, 4--7 (2003); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 391, No. 1, 10--13 (2003; Zbl 1124.35309) and Sib. Mat. Zh. 45, No. 1, 103--118 (2004); translation in Sib. Math. J. 45, No. 1, 86--99 (2004; Zbl 1065.47043)].