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Functional calculi of second-order elliptic partial differential operators with bounded measurable coefficients
| Content Provider | Semantic Scholar |
|---|---|
| Author | Duong, Xuan Thinh McIntosh, Alan D. |
| Copyright Year | 1996 |
| Abstract | Consider a second-order elliptic partial differential operatorL in divergence form with real, symmetric, bounded measurable coefficients, under Dirichlet or Neumann conditions on the boundary of a strongly Lipschitz domain Ω. Suppose that 1 0. ThenL has a bounded H∞ functional calculus in Lp(Ω), in the sense that ¦¦f (L +cI)u¦¦p ≤C sup¦arλ¦<μ¦f¦ ¦‖u¦‖p for some constantsc andC, and all bounded holomorphic functionsf on the sector ¦ argλ¦ < μ that contains the spectrum ofL +cI. We prove this by showing that the operatorsf(L + cI) are Calderón-Zygmund singular integral operators. |
| Starting Page | 181 |
| Ending Page | 205 |
| Page Count | 25 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF02921599 |
| Volume Number | 6 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1007/BF02921599 |
| Alternate Webpage(s) | https://doi.org/10.1007/BF02921599 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
