Bibliography for the Neumann Problem

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  1. The Cauchy--Neumann problem for a multidimensional nonisentropic hydrodynamic semiconductor model
    Li Yeping
    Nonlinearity, May 2005, vol. 18, no. 3, pp. 959-980(22), Ingenta.   
  2. The Dirichlet-Neumann harmonic problem in a two-dimensional cracked domain with the Neumann condition on cracks
    Krutitskii P.A.
    Proceedings: Mathematical, Physical & Engineering Sciences, February 08, 2004, vol. 460, no. 2042, pp. 445-462(18), Ingenta.   
  3. The mesa problem for Neumann boundary value problem
    Benilan P.; Igbida N.
    Journal of Differential Equations, 20 January 2004, vol. 196, no. 2, pp. 301-315(15), Ingenta.   
  4. Treatment of Neumann boundaries in the complex variable boundary element method
    Sato, Kozo; Watanabe, Yusuke
    Communications in Numerical Methods in Engineering, v 20, n 2, February, 2004, p 119-132, Compendex.
  5. The Dirichlet-Neumann harmonic problem in a two-dimensional cracked domain with the Neumann condition on cracks
    Krutitskii P.A.
    Proceedings: Mathematical, Physical & Engineering Sciences, February 08, 2004, vol. 460, no. 2042, pp. 445-462(18), Ingenta.   
  6. The uniqueness of symmetric single peak solutions for a Neumann problem involving critical exponent
    Peng S.
    Nonlinear Analysis, January 2004, vol. 56, no. 1, pp. 19-42(24), Ingenta.   
  7. Conditional Stability for an Inverse Neumann Boundary Problem
    J. Cheng; Y.C. Hon; M. Yamamoto
    Applicable Analysis, January 2004, vol. 83, no. 1, pp. 49-62(14), Ingenta.   
  8. Additive Schwarz preconditioner for the Neumann problem with a boundary layer
    Akimov V.V.
    Russian Journal of Numerical Analysis and Mathematical Modelling, 1 June 2003, vol. 18, no. 3, pp. 185-206(22), Ingenta.   
  9. Fundamental Solutions of the 2D Neumann Problem for the Laplace Equation
    Setukha A.V.
    Differential Equations, January 2003, vol. 39, no. 1, pp. 135-144(10), Ingenta.   
  10. On the Plane Neumann Problem with Generalized Boundary Conditions
    Setukha A.V.
    Differential Equations, September 2002, vol. 38, no. 9, pp. 1246-1259(14), Ingenta.   
  11. The Neumann problem for free boundaries in two dimensions
    Matei A.-M.
    Comptes Rendus Mathematique, 1 October 2002, vol. 335, no. 7, pp. 597-602(6), Ingenta.   
  12. The Neumann problem in the half-space
    Amrouche C.
    Comptes Rendus Mathematique, 2002, vol. 335, no. 2, pp. 151-156(6), Ingenta.   
  13. Construction of Fundamental Solutions of the Neumann Boundary Value Problem in a Domain Outside an Open Plane Surface
    Setukha A.V.
    Differential Equations, April 2002, vol. 38, no. 4, pp. 528-540(13), Ingenta.   
  14. Compactness in the d-bar-Neumann problem  
    Siqi Fu; E. Straube
    Complex Analysis and Geometry (J. McNeal, ed.), Ohio State University Mathmatical Research Institute Publication 9, de Gruyter, 2001, 141-160.
  15. The Neumann Problem with Boundary Condition on an Open Plane Surface
    Setukha A.V.
    Differential Equations, October 2001, vol. 37, no. 10, pp. 1376-1398(23), Ingenta.   
  16. The Method of Integral Equations in the Mixed Dirichlet--Neumann Problem for the Laplace Equation in the Exterior of Cuts in the Plane
    Krutitskii P.A.; Sgibnev A.I.
    Differential Equations, October 2001, vol. 37, no. 10, pp. 1363-1375(13), Ingenta.  
  17. Recovering a complex coefficient in a planar domain from the Dirichlet-to-Neumann map
    Francini, Elisa  
    Inverse Problems, v 16, n 1, February, 2000, p 107-119, Compendex.
  18. Reflecting Brownian snake and a Neumann-Dirichlet problem
    Abraham R.
    Stochastic Processes and their Applications, October 2000, vol. 89, no. 2, pp. 239-260(22), Ingenta.  
  19. The Neumann problem for the inhomogeneous pluriharmonic system in polydiscs.
    Mohammed, A.
    Complex methods for partial differential equations (Ankara, 1998), 155--164, Int. Soc. Anal. Appl. Comput., 6, Kluwer Acad. Publ., Dordrecht, 1999, MathSciNet.  
  20. Solution of the Dirichlet problem for the Laplace equation.
    Medková, Dagmar
    Appl. Math. 44 (1999), no. 2, 143--168, MathSciNet.  
  21. The generalized Neumann problem for harmonic functions in a half-space. (Russian)
    Karachik, V. V.
    Differ. Uravn. 35 (1999), no. 7, 942--947, 1006; translation in Differential Equations 35 (1999), no. 7, 949--955, MathSciNet.  
  22. Compactness of the d-bar-Neumann problem on convex domains  
    Siqi Fu; E. Straube
    Journal of Functional Analysis   159 (1998), 629-641.  
  23. Eigenvalues of Laplacians with mixed boundary conditions, under conformal mapping  
    Richard S. Laugesen  
    Illinois Journal of Mathematics, 42:19-39, 1998.
  24. Solution of the Neumann problem for the Laplace equation.
    Medková, Dagmar
    Czechoslovak Math. J. 48(123) (1998), no. 4, 763--784, MathSciNet.  
  25. Neumann problem in a class of harmonic functions in domains with a piecewise-Lyapunov boundary.
    Kokilashvili, V.; Paatashvili, V.
    International Symposium on Differential Equations and Mathematical Physics (Tbilisi, 1997). Mem. Differential Equations Math. Phys. 12 (1997), 114--121, MathSciNet.  
  26. A new computer-assisted analytic method for the Dirichlet and Neumann problems.
    Snyder, Herbert H.; Wilkerson, Ralph W.
    Z. Anal. Anwendungen 6 (1987), no. 1, 93--96, MathSciNet.  
  27. On the mixed initial Dirichlet - Neumann problem for the wave equation in the circle
    Sheikh M.G.E.
    Journal of Physics A: Mathematical and General, 1996, vol. 29, no. 3, pp. 595-606(12), Ingenta.   
  28. Variational approximation for a Dirichlet-Neumann problem of the heat conduction through rectangular plates.
    Bradean, Radu
    Rev. Anal. Numér. Théor. Approx. 24 (1995), no. 1-2, 23--36, MathSciNet.  
  29. A boundary integral equation formulation of the Neumann problem for a vector field in R3 with application to potential lifting flows
    Belibasakis K.A.; Politis G.K.
    Engineering Analysis with Boundary Elements, 1995, vol. 16, no. 1, pp. 5-17(13), Ingenta.   
  30. On the Neumann problem for harmonic functions. (Russian)
    Bitsadze, A. V.
    Dokl. Akad. Nauk SSSR 311 (1990), no. 1, 11--13; translation in Soviet Math. Dokl. 41 (1990), no. 2, 193--195, MathSciNet.  
  31. Extendability of Proper Holomorphic Mappings and Global Analytic Hypoellipticity of the Neumann Problem  
    Steven R. Bell
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 78, No. 11, [Part 1: Physical Sciences] (Nov., 1981), pp. 6600-6601, Jstor.   
  32. The Dirichlet and Neumann problems for harmonic functions in half-spaces.
    Gardiner, S. J.
    J. London Math. Soc. (2) 24 (1981), no. 3, 502--512, MathSciNet.  
  33. A Uniqueness Theorem for the Neumann Problem  
    W. J. Sweeney
    The Annals of Mathematics, 2nd Ser., Vol. 90, No. 2 (Sep., 1969), pp. 353-360, Jstor.  
  34. Complex Neumann problems.
    Kohn, J. J.; Spencer, D. C.
    Ann. of Math. (2) 66 (1957), 89--140, MathSciNet.  
  35. On the Dirichlet-Neumann Problem  
    G. E. Raynor
    The Annals of Mathematics, 2nd Ser., Vol. 32, No. 1. (Jan., 1931), pp. 17-22, Jstor.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006