Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains

Mazia, V. G.; Nazarov, S. A.; Plamenevskii, B. A.

ISBN 10: 3764363983 / ISBN 13: 9783764363987

Editore: Birkhäuser, 2000

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Dati bibliografici

• Titolo: Asymptotic Theory of Elliptic Boundary Value Problems in Singularly Perturbed Domains
• Editore: Birkhäuser
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 3764363983
• ISBN 13: 9783764363987
• Rilegatura: Rilegato
• Condizione: New

Descrizione articolo

Riassunto

For the first time in the mathematical literature, this two-volume work introduces a unified and general approach to the subject. To a large extent, the book is based on the authors’ work, and has no significant overlap with other books on the theory of elliptic boundary value problems

Contenuti

V Boundary Value Problems in Domains Perturbed Near Multidimensional Singularities of the Boundary.- 11 Boundary Value Problems in Domains with Edges on the Boundary.- 12 Asymptotics of Solutions to Classical Boundary Value Problems in a Domain with Thin Cavities.- 13 Asymptotics of Solutions to the Dirichlet Problem for High Order Equations in a Domain with a Thin Tube Excluded.- VI Behaviour of Solutions of Boundary Value Problems in Thin Domains.- 14 The Dirichlet Problem in Domains with Thin Ligaments.- 15 Boundary Value Problems of Mathematical Physics in Thin Domains.- 16 General Elliptic Problems in Thin Domains.- VII Elliptic Boundary Value Problems with Oscillating Coefficients or Boundary of Domain.- 17 Elliptic Boundary Value Problems with Rapidly Oscillating Coefficients.- 18 Paradoxes of Limit Passage in Solutions of Boundary Value Problems When Smooth Domains Are Approximated by Polygons.- 19 Homogenization of a Differential Operator on a Fine Periodic Net of Curves.- 20 Homogenization of Equations on a Fine Periodic Grid.- Comments on Parts V-VII.- Comments on Part V.- 11.- 12.- 13.- Comments on Part VI.- 14.- 15.- 16.- Comments on Part VII.- 17.- 18.- 19.- 20.- List of Symbols.- References.