Publication Cover
Applicable Analysis
An International Journal
Volume 4, 1975 - Issue 4
10
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Improperly posed problems for singular equations of the fourth order

&
Pages 331-341 | Received 28 Dec 1970, Published online: 02 May 2007

References

  • Bourgin , D.G. and Duffin , R. 1939 . The Dirichlet problem for the vibrating strin equation . Bull. Amer. Math. soc , 45 : 851 – 858 .
  • Bureau , F.J. 1955 . Divergent integrals and partial differential equations . Comm. Pure. Appl. Math , 8 : 143 – 202 .
  • Courant , R. and Hilbert , D. 1953 . Methods of mathematical physics, Vol. I , New York : Interscience Publishers .
  • Dunninger , D.R. and Zachmanoglou , E.C. 1969 . The condition for uniqueness of the Dirichlet problem for hyperbolic equations in cylindrical domains . J. Math. Mech , 18 : 763 – 766 .
  • Fichera , G. 1960 . On a unified theory of boundary value problems for elliptic-parabolic equations of the second order, Boundary problems in differential equations , 97 – 120 . Madison : University of Wisconsin Press .
  • Fox , D.W. 1959 . The solution and Huygens principle for a singular Cauchy problem . J. Math. Mech , 8 : 197 – 219 .
  • Kohn , J.J. and Nirenberg , L. 1967 . Degenerate ellipic-parabolic equations of the second order . Comm. Pure Appl. Math , 20 : 797 – 872 .
  • Kellogg , O.D. 1953 . Foundations of Potential Theory , New York : Dover Publications, Inc .
  • Sigillito , V.G. 1970 . On the uniqueness of solutions of certain improperly posed problems . Proc. American Math. Soc , 24 : 828 – 831 .
  • Walter , W. 1957 . Uber die Euler-Poisson-Darboux-Gleichng . Math. Z , 67 : 361 – 367 .
  • Weinstein , A. 1962 . Singular partial differential equations and their applications . Fluid Dynamics and Applied Mathematics , 67 : 29 – 49 .

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.