References
- Varnhorn , W . 1994 . The Stokes Equations , Berlin : Akademie Verlag .
- Verchota , G . 1984 . Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains . J. Funct. Anal. , 59 : 572 – 611 .
- Kenig , CE . 1994 . Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems , Providence : American Mathematical Society .
- Fabes , EB , Kenig , CE and Verchota , GC . 1988 . The Dirichlet problem for the Stokes system on Lipschitz domains . Duke Math. J. , 57 : 769 – 793 .
- Shen , Z . 1995 . A note on the Dirichlet problem for the Stokes system in Lipschitz domains . Proc. AMS , 123 : 801 – 811 .
- Deuring , P . 1998 . L p -theory for the Stokes system in 3D domains with conical boundary points . Indiana Univ. Math. J. , 47 : 11 – 47 .
- Medková , D . 1999 . Solution of the Dirichlet problem for the Laplace equation . Appl. Math. , 44 : 143 – 168 .
- Krutitskii , P and Medková , D . 2004 . The harmonic Dirichlet problem for a cracked domain with jump conditions on cracks . Appl. Anal. , 83 : 661 – 671 .
- Maremonti , P and Russo , R . 1994 . On the maximum modulus theorem for the Stokes system . Ann. Sc. Norm. Super. Pisa , XXI : 629 – 643 .
- Kratz , W . 1995 . On the maximum modulus theorem for Stokes functions . Appl. Anal. , 58 : 293 – 302 .
- Kratz , W . 1997 . The maximum modulus theorem for the Stokes system in a ball . Math. Z. , 226 : 389 – 403 .
- Kratz , W . 1998 . An extremal problem related to the maximum modulus theorem for Stokes functions . Z. Anal. Anwend. , 17 : 599 – 613 .
- Maremonti , P . 2000 . On the Stokes equations: the maximum modulus theorem . Math. Models Methods Appl. Sci. , 10 : 1047 – 1072 .
- Varnhorn , W . 1991 . An explicit potential theory for the Stokes resolvent boundary value problems in three dimensions . Manus. Math. , 70 : 339 – 361 .
- Deuring , P , von Wahl , W and Weidemaier , P . 1988 . Das lineare Stokes-System im ℝ3 (1. Vorlesungen über das Innenraumproblem) . Bayreuth. Math. Schr. , 27 : 1 – 252 .
- Odquist , FKG . 1930 . Über die Randwertaufgaben in der Hydrodynamik zäher Flüssigkeiten . Math. Z. , 32 : 329 – 375 .
- Ladyzhenskaya , OA . 1969 . The Mathematical Theory of Viscous Incompressible Flow , New York : Gordon and Breach .
- Ziemer , WP . 1989 . Weakly Differentiable Functions , New York : Springer-Verlag .
- Prössdorf , S . 1991 . “ Linear Integral Equations ” . In Analysis IV, Encyclopaedia of Mathematical Sciences , Vol. 27 , New York : Springer-Verlag .
- Schechter , M . 2002 . Principles of Functional Analysis , Providence, RI : American Mathematical Society .
- Mitrea , D . 1997 . The method of layer potentials for non-smooth domains with arbitrary topology . Integr. Equ. Oper. Theory , 29 : 320 – 338 .