Abstract
Penzel, F. and F.-O. Speck, Asymptotic expansion of singular operators on Sobolev spaces, Asymptotic Analysis 7 (1993) 287-300. The topic of asymptotic expansion of solutions of pseudodifferential equations in the spirit of Eskin's work is extended to a more general situation. Taylor expansion of Fourier symbol matrix functions is replaced by a series of generalized invertible operators, which act on vector Sobolev spaces. The fractional orders of these spaces are obtained from the jumps of the lifted symbol matrix at infinity in a situation which is most interesting for applications. Asymptotic and regularity results for the solutions of corresponding systems of equations are direct consequences.
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