Title: Mapping properties of quasielliptic operators and applications

Authors: Gennadii V. Demidenko

Addresses: Sobolev Institute of Mathematics, pr. Koptyuga 4, 630090 Novosibirsk, Russia

Abstract: Two classes of matrix quasielliptic operators are studied. Isomorphic properties in special weighted Sobolev spaces are established. These results are used to prove solvability the Cauchy problem for a class of systems of partial differential equations not solvable with respect to the highest-order derivative.

Keywords: quasielliptic operators; isomorphism; weighted Sobolev spaces; mapping properties; Cauchy problem; partial differential equations; highest-order derivative.

DOI: 10.1504/IJDSDE.2007.013745

International Journal of Dynamical Systems and Differential Equations, 2007 Vol.1 No.1, pp.58 - 67

Published online: 23 May 2007 *

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