Publication Cover
Applicable Analysis
An International Journal
Volume 1, 1972 - Issue 4
111
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Half Space and Quarter Space Dirichlet Problems for the Partial Differential Equation

&
Pages 297-324 | Published online: 02 May 2007

References

  • Hadamard , J. 1923 . Lectures on Cauchfs problem in linear partial differential equations , Yale University Press .
  • Schwarz , H. A. 1869 . Ueber einige Abbildungs aufgaben , Vol. 70 , 105 – 120 . Berlin : Journal fur die reine und angewandte Mathematik .
  • Diaz , J. B. and Ludford , G. S. S. 1955 . Reflection principles for linear elliptic second order partial differential equations with constant coefficients , Vol. IV , 87 – 95 . Annali di Matematica pura ed applicata .
  • Diaz , J. B. and Ludford , G. S. S. 1956 . “ On the Euler-Poisson-Darboux equation, integral operators, and the method of descent. Proceedings on the Conference on Differential Equations ” . 73 – 89 . University of Maryland .
  • Diaz , J. B. 1964 . “ Solution of the singular Cauchy problem for a singular system of partial differential equations in the mathematical theory of dynamical elasticity; reflection principles for linear elliptic second order partial differential equations with constant coefficients; and remarks on the generalization of Banach's principle of contraction mappings ” . In in Theory of Distributions, Proceedings of an International Summer Institute held in Lisbon , Edited by: Cálculo Cientifico , Centro de and de Cincia , Gulbenkian . 75 – 132 . Portugal : Lisboa .
  • Bcher , M . 1893 . On the differential equation Au+k2u = 0 . American Journal of Mathematics , 15 : 78 – 83 .
  • Pockels , E. 1891 . Ueber die Partielle Differentialgleichung [d] und deren auftreten in der Mathematischen Physiku , Druck und Verlag von B.G. Teubner .
  • Tikhonov , A. N. and Samarskii , A. A. 1963 . Equations of mathematical physics , Oxford, England : Pergamon Press, Ltd .
  • Polozhiy , G. N. 1967 . Equations of mathematical physics , New York : Hayden Book Co., Inc .
  • Kellogg , O. D. 1953 . Foundations of potential theory , New York : Dover .
  • Courant , R. and Hilbert , D. 1961 . Methods of mathematical physics . Interscience , 2 : 261 – 275 .
  • Magnus , W. , Oberhettinger , F. and Soni , R. P. 1966 . Formulas and theorems for the special functions of mathematical physics , New York : Springer .
  • Selby , S. M. 1968 . Standard mathematical tables , Cleveland, Ohio : The Chemical Rubber Co .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.