Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 4, Pages 653–670
DOI: https://doi.org/10.22363/2413-3639-2022-68-4-653-670 (Mi cmfd479) 		 
Explicit solution of a Dirichlet problem in nonconvex angle

A. Merzona, P. Zhevandrova, J. E. De la Paz Méndezb, M. I. Romero Rodríguezc

a UMSNH, Morelia Michoacán, México
b Escuela Superior de Matemáticas N.2, UAGro, Cd. Altamirano Guerrero, México
c Facultad de Ciencias Básicas y Aplicadas, Universidad Militar Nueva Granada, Bogotá Colombia
Full-text PDF (477 kB)
References:
PDF
HTML
DOI: https://doi.org/10.22363/2413-3639-2022-68-4-653-670
Abstract: In the present work, we give an explicit solution of the Dirichlet boundary-value problem for the Helmholtz equation in a nonconvex angle with periodic boundary data. We present uniqueness and existence theorems in an appropriate functional class and we give an explicit formula for the solution in the form of the Sommerfeld integral. The method of complex characteristics [14] is used.
Keywords: Helmholtz equation, nonconvex angle, Sommerfeld integral, method of complex characteristics.
Funding agency Grant number
CONACYT - Consejo Nacional de Ciencia y Tecnología
Document Type: Article
UDC: 517.956.3+517.958
Language: Russian
Citation: A. Merzon, P. Zhevandrov, J. E. De la Paz Méndez, M. I. Romero Rodríguez, “Explicit solution of a Dirichlet problem in nonconvex angle”, Differential and functional differential equations, CMFD, 68, no. 4, PFUR, M., 2022, 653–670
Citation in format AMSBIB
\Bibitem{MerZheDe 22}
\by A.~Merzon, P.~Zhevandrov, J.~E.~De la Paz M\'endez, M.~I.~Romero Rodr{\'\i}guez
\paper Explicit solution of a Dirichlet problem in nonconvex angle
\inbook Differential and functional differential equations
\serial CMFD
\yr 2022
\vol 68
\issue 4
\pages 653--670
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd479}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-4-653-670}
Linking options:
  • https://www.mathnet.ru/eng/cmfd479
  • https://www.mathnet.ru/eng/cmfd/v68/i4/p653
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:60
    Full-text PDF :23
    References:22
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024