Sobolev Spaces: with Applications to Elliptic Partial Differential Equations - Brossura

Maz'ya, Vladimir

Brossura

ISBN 10: 3642155650 ISBN 13: 9783642155659

Casa editrice: Springer, 2011

Riassunto

Introduction.- 1 .Basic Properties of Sobolev Spaces.- 2 .Inequalities for Functions Vanishing at the Boundary.- 3.Conductor and Capacitary Inequalities with Applications to Sobolev-type Embeddings.- 4.Generalizations for Functions on Manifolds and Topological Spaces.- 5.Integrability of Functions in the Space L 1/1(Ω).- 6.Integrability of Functions in the Space L 1/p (Ω).- 7.Continuity and Boundedness of Functions in Sobolev Spaces.- 8.Localization Moduli of Sobolev Embeddings for General Domains.- 9.Space of Functions of Bounded Variation.- 10.Certain Function Spaces, Capacities and Potentials.- 11 Capacitary and Trace Inequalities for Functions in Rn with Derivatives of an Arbitrary Order.-12.Pointwise Interpolation Inequalities for Derivatives and Potentials.- 13.A Variant of Capacity.- 14.-Integral Inequality for Functions on a Cube.- 15.Embedding of the Space L l/p(Ω) into Other Function Spaces.- 16.Embedding L l/p(Ω) ⊂ W m/r(Ω).-17.Approximation in Weighted Sobolev Spaces.-18.Spectrum of the Schrödinger operator and the Dirichlet Laplacian.- References.- List of Symbols.- Subject Index.- Author Index.

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2011
• ISBN 10: 3642155650
• ISBN 13: 9783642155659
• Rilegatura: Paperback
• Lingua: Inglese
• Contatto del produttore: non disponibile