Square Roots of Elliptic Systems in Locally Uniform Domains
This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins by introducing the geometry of locally uniform domains and establishes theory for function spaces...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Kaituhi rangatōpū: | |
| Hōputu: | Tāhiko īPukapuka |
| Reo: | Ingarihi |
| I whakaputaina: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
|
| Putanga: | 1st ed. 2024. |
| Rangatū: | Linear Operators and Linear Systems,
303 |
| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.1007/978-3-031-63768-1 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- Introduction
- Locally uniform domains
- A density result for locally uniform domains
- Sobolev extension operator
- A short account on sectorial and bisectorial operators
- Elliptic systems in divergence form
- Porous sets
- Sobolev spaces with a vanishing trace condition
- Hardy’s inequality
- Real interpolation of Sobolev spaces
- Higher regularity for fractional powers of the Laplacian
- First order formalism
- Kato’s square root property on thick sets
- Removing the thickness condition
- Interlude: Extension operators for fractional Sobolev spaces
- Critical numbers and Lp − Lq bounded families of operators
- Lp-bounds for the H1-calculus and Riesz transform
- Calder´on–Zygmund decomposition for Sobolev functions
- Lp bounds for square roots of elliptic systems
- References
- Index.