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Elliptic problems for a Douglis–Nirenberg system over ℝn and over an exterior subregion
| Content Provider | Scilit |
|---|---|
| Author | Faierman, M. |
| Copyright Year | 2016 |
| Description | We consider both a problem over $ℝ^{n}$ and a boundary problem over an exterior subregion for a Douglis–Nirenberg system of differential operators under limited smoothness assumptions as well as under the assumption of parameter ellipticity in a closed sector Ꮭ in the complex plane with vertex at the origin. We pose each problem on an $L_{p}$ Sobolev space setting, 1 < p < ∞, and denote by the operator induced in this setting by the problem over $ℝ^{n}$ and by $A_{p}$ the operator induced in this setting by the boundary problem under null boundary conditions. We then derive results pertaining to the Fredholm theory for each of these operators for values of the spectral parameter λ lying in Ꮭ as well as results for these values of λ pertaining to the invariance of their Fredholm domains with p. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E7957C464AE075FB3D2E8F05AE645B16/S0308210515000566a.pdf/div-class-title-elliptic-problems-for-a-douglis-nirenberg-system-over-span-class-sup-span-class-italic-n-span-span-and-over-an-exterior-subregion-div.pdf |
| Ending Page | 594 |
| Page Count | 16 |
| Starting Page | 579 |
| ISSN | 03082105 |
| e-ISSN | 14737124 |
| DOI | 10.1017/s0308210515000566 |
| Journal | Proceedings of the Royal Society of Edinburgh: Section A Mathematics |
| Issue Number | 3 |
| Volume Number | 146 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 2016-06-01 |
| Access Restriction | Open |
| Subject Keyword | Section A Mathematics Applied Mathematics elliptic Ꮭ⟨a⟩ Fredholm Properties Douglis–nirenberg System Lp Sobolev Space Primary 35j55 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
