Small modifications of quadrature domains

Small modifications of quadrature domains / Makoto Sakai.

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Bibliographic Details
Main Author: Sakai, Makoto, 1943-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 2010.
Series:Memoirs of the American Mathematical Society ; no. 969.
Subjects:
Quadrature domains.
Harmonic functions.
Potential theory (Mathematics)
Fluid mechanics.
Potential theory (Physics)
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Fluid mechanics
Harmonic functions
Quadrature domains
Online Access:Click for online access
Table of Contents:
  • Introduction and main results
  • Quadrature domains
  • Construction of measures for localization
  • Generalizations of the reflection theorem
  • Continuous reflection property and smooth boundary points
  • Proofs of (1) and (3) in theorem 1.1
  • Corners with right angles
  • Properly open cusps
  • Microlocalization and the local-reflection theorem
  • Modifications of measures in R+
  • Modifications of measures in R-
  • Sufficient conditions for a cusp to be a laminar-flow point
  • Turbulent-flow points
  • The set of stationary points
  • Open questions.

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