Buch, Englisch, Band 2063, 424 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 6555 g
Reihe: Lecture Notes in Mathematics
for Higher-Order Elliptic Systems in Lipschitz Domains
Buch, Englisch, Band 2063, 424 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 6555 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-642-32665-3
Verlag: Springer
This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney–Lebesque spaces, Whitney–Besov spaces, Whitney–Sobolev- based Lebesgue spaces, Whitney–Triebel–Lizorkin spaces,Whitney–Sobolev-based Hardy spaces, Whitney–BMO and Whitney–VMO spaces.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Integralrechnungen- und -gleichungen
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
1 Introduction.- 2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case.- 3 Function spaces of Whitney arrays.- 4 The double multi-layer potential operator.- 5 The single multi-layer potential operator.- 6 Functional analytic properties of multi-layer potentials and boundary value problems.