TY - BOOK AU - Sakai,Makoto TI - Small modifications of quadrature domains T2 - Memoirs of the American Mathematical Society, SN - 9781470405830 (online) AV - QA3QA405 .A57 no.969 U1 - 515/.96 22 PY - 2010/// CY - Providence, R.I. PB - American Mathematical Society KW - Quadrature domains KW - Harmonic functions KW - Potential theory (Mathematics) KW - Fluid mechanics N1 - "Volume 206, number 969 (third of 4 numbers )."; "July 2010."; Includes bibliographical references (p. 265-266) and indexes; Chapter 1. Introduction and main results; Chapter 2. Quadrature domains; Chapter 3. Construction of measures for localization; Chapter 4. Generalizations of the reflection theorem; Chapter 5. Continuous reflection property and smooth boundary points; Chapter 6. Proofs of (1) and (3) in Theorem 1.1; Chapter 7. Corners with right angles; Chapter 8. Properly open cusps; Chapter 9. Microlocalization and the local-reflection theorem; Chapter 10. Modifications of measures in $R^+$; Chapter 11. Modifications of measures in $R^-$; Chapter 12. Sufficient conditions for a cusp to be a laminar-flow point; Chapter 13. Turbulent-flow points; Chapter 14. The set of stationary points; Chapter 15. Open questions; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0969 UR - http://dx.doi.org/10.1090/S0065-9266-10-00596-X ER -