Equivalence of Sobolev Spaces

Results in Mathematics

Volumn 39, Issue 1-2, 2001, Pages 115-130

  Salomonsen, Gorm ^a  

^a AARHUS UNIVERSITY   (Denmark)

Author keywords

35B05; 35B40; 53C21; 58G03; 58G20; 58G30; Bochner Laplacians; Dirac Operators; Manifolds with bounded curvature; Sobolev Spaces

Indexed keywords

EID: 85012162378     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322679     Document Type: Article

References (11)

1. Berline, N.,Getzler, E., Vergne, M.: “Heat Kernels and Dirac Operators”, Second Edition, Springer-Verlag (1996)
2. Chernoff, P.R.: “Essential Self-adjointness of Powers of Generators of Hyperbolic Equations.” J. Funct. Anal. 12 (1973), 401–414
3. Eichhorn, J. “Elliptic Differential Operators on non-compact Manifolds”, Seminar Analysis of the Karl Weierstraß Institute 1986/1987. Teubner-Texte zur Mathematik, Band 106
4. Dodziuk, J. “Sobolev Spaces of Differential Forms and the de Rham Isomorphism”, J. Diff. Geom. 16 (1981), 63–73
5. Gilkey, P.: “Invariance Theory, the Heat Equation and the Atiyah-Patodi-Singer Index Theorem”, 2nd edition, CRC Press (1995)
6. Kato, T. “Pertubation Theory for Linear Operators” Springer-Verlag, 1980
7. Kobayashi, S., Nomizu, K.: “Foundations of Differential Geometry”. Volume I, Interscience Publishers, 1963
8. Lawson, H. B., Michelsohn, M. L.:“Spin Geometry.”, Princeton University Press, Princeton, New Jersey, 1989
9. Müller, W., Salomonsen, G.: “Scattering Theory for Dirac Operators on Manifolds with bounded Curvature” Working title. In preparation
10. Pedersen, G.K.: “Analysis Now”, Springer-Verlag, Graduate Texts in Mathematics 118 (1989)
11. Steinberg, S.: “Meromorphic families of compact operators”. Arch. Rat. Mech. Anal. 31 (1968) 372–379