Volume 31, Issue 3
A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter

M. Kh. Ruziev

J. Part. Diff. Eq., 31 (2018), pp. 214-223.

Published online: 2018-09

Preview Purchase PDF 19 2786
Export citation
  • Abstract

In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of separation of variables, the solution of the Dirichlet problem is presented in the explicit form.

  • Keywords

Half-band Hankel transformation series the Fourier method uniqueness existence

  • AMS Subject Headings

35J25, 35J70, 35J75

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

ruzievmkh@gmail.com (M. Kh. Ruziev)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-31-214, author = {Ruziev , M. Kh.}, title = {A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter}, journal = {Journal of Partial Differential Equations}, year = {2018}, volume = {31}, number = {3}, pages = {214--223}, abstract = {

In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of separation of variables, the solution of the Dirichlet problem is presented in the explicit form.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v31.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/12705.html} }
TY - JOUR T1 - A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter AU - Ruziev , M. Kh. JO - Journal of Partial Differential Equations VL - 3 SP - 214 EP - 223 PY - 2018 DA - 2018/09 SN - 31 DO - http://doi.org/10.4208/jpde.v31.n3.2 UR - https://global-sci.org/intro/article_detail/jpde/12705.html KW - Half-band KW - Hankel transformation KW - series KW - the Fourier method KW - uniqueness KW - existence AB -

In this paper, the Dirichlet problem in the vertical half-band for the degenerated elliptic equation with singular coefficient and spectral parameter is investigated. Using the Hankel transformation and the method of separation of variables, the solution of the Dirichlet problem is presented in the explicit form.

M. Kh. Ruziev. (2019). A Boundary Value Problem for the Degenerated Elliptic Equation with Singular Coefficient and Spectral Parameter. Journal of Partial Differential Equations. 31 (3). 214-223. doi:10.4208/jpde.v31.n3.2
Copy to clipboard
The citation has been copied to your clipboard