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Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains: Volume 69 by Michail Borsuk, Vladimir Kondratiev

Elliptic Boundary Value Problems of Second Order in Piecewise Smooth Domains: Volume 69

by Michail Borsuk , Vladimir Kondratiev
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Book cover type: Hardcover
  • ISBN13: 9780444521095
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Elsevier Science
  • Publisher Imprint: Elsevier Science
  • Publication Date:
  • Pages: 538
  • Original Price: USD 215.0
  • Language: English
  • Edition: N/A
  • Item Weight: 939 grams
  • BISAC Subject(s): Mechanical

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains. The authors concentrate on the following fundamental results: sharp estimates for strong and weak solutions, solvability of the boundary value problems, regularity assertions for solutions near singular points.

Key features:

* New the Hardy - Friedrichs - Wirtinger type inequalities as well as new integral inequalities related to the Cauchy problem for a differential equation.* Precise exponents of the solution decreasing rate near boundary singular points and best possible conditions for this.* The question about the influence of the coefficients smoothness on the regularity of solutions.* New existence theorems for the Dirichlet problem for linear and quasilinear equations in domains with conical points.* The precise power modulus of continuity at singular boundary point for solutions of the Dirichlet, mixed and the Robin problems.* The behaviour of weak solutions near conical point for the Dirichlet problem for m - Laplacian.* The behaviour of weak solutions near a boundary edge for the Dirichlet and mixed problem for elliptic quasilinear equations with triple degeneration.

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