Beyond Sobolev and Besov

Beyond Sobolev and Besov

Regularity of Solutions of PDEs and Their Traces in Function Spaces

Schneider, Cornelia

Springer Nature Switzerland AG

06/2021

330

Mole

Inglês

9783030751388

15 a 20 dias

534

Descrição não disponível.
- Introduction. - Function Spaces and General Concepts. - Part I Besov and Fractional Sobolev Regularity of PDEs. - Theory and Background Material for PDEs. - Regularity Theory for Elliptic PDEs. - Regularity Theory for Parabolic PDEs. - Regularity Theory for Hyperbolic PDEs. - Applications to Adaptive Approximation Schemes. - Part II Traces in Function Spaces. - Traces on Lipschitz Domains. - Traces of Generalized Smoothness Morrey Spaces on Domains. - Traces on Riemannian Manifolds.
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Adaptive Algorithms;Besov Spaces;Elliptic Partial Differential Equations;Embeddings;Heat Equation;Hyperbolic Partial Differential Equations;Kondratiev Spaces;Nonsmooth Domains;Parabolic Partial Differential Equations;Partial Differential Equations;Polyhedral Cones;Regularity Theory;Smoothness Morrey Spaces;Sobolev Spaces;Traces;Triebel-Lizorkin Spaces