Bounded H∞-calculus for pseudodifferential Douglis-Nirenberg systems of mild regularity
نویسندگان
چکیده
We consider pseudodifferential Douglis-Nirenberg systems on Rn with components belonging to the standard Hörmander class S∗ 1,δ(R n×Rn), 0 ≤ δ < 1. Parameter-ellipticity with respect to a subsector Λ ⊂ C is introduced and shown to imply the existence of a bounded H∞-calculus in suitable scales of Sobolev, Besov, and Hölder spaces. We also admit non pseudodifferential perturbations. Applications concern systems with coefficients of mild Hölder regularity and the generalized thermoelastic plate equations.
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