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Bounded H_infinity -calculus for pseudo-differential Douglis-Nirenberg systems of mild regularity
| Content Provider | Semantic Scholar |
|---|---|
| Author | Denk, Robert Saal, Jürgen Seiler, Joerg |
| Copyright Year | 2008 |
| Abstract | We consider pseudo-differential Douglis–Nirenberg systems on ℝn with components belonging to the standard Hormander class S1,δ*(ℝn × 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 Holder spaces. We also admit non pseudo-differential perturbations. Applications concern systems with coefficients of mild Holder regularity and the generalized thermoelastic plate equations (© 2009 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
| File Format | PDF HTM / HTML |
| DOI | 10.1002/mana.200810743 |
| Alternate Webpage(s) | https://arxiv.org/pdf/0801.3748v1.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0801.3748v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1002/mana.200810743 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
