Yassine Benia, Boubaker-Khaled Sadallah
In this article, we study the semilinear Burgers equation with time variable coefficients, subject to boundary condition in a non-parabolic domain. Some assumptions on the boundary of the domain and on the coefficients of the equation will be imposed. The right-hand side of the equation is taken in . The method we used is based on the approximation of the non-parabolic domain by a sequence of subdomains which can be transformed into regular domains. This paper is an extension of the work .
Submitted December 14, 2017. Published January 15, 2018.
Math Subject Classifications: 35K58, 35Q35.
Key Words: Burgers equation; existence; uniqueness; non-parabolic domains; anisotropic Sobolev space.
Show me the PDF file (277 KB), TEX file for this article.
| Yassine Benia |
Dept of Mathematics and Informatics
University of Benyoucef Benkhedda (Alger 1)
16000, Algiers, Algeria
| Boubaker-Khaled Sadallah |
Lab. PDE & Hist Maths; Dept of Mathematics, E.N.S.
16050, Kouba, Algiers, Algeria
Return to the EJDE web page