Benia, YassineSadallah, Boubaker-Khaled2021-12-202021-12-202018-01-15Benia, Y., & Sadallah, B. K. (2018). Existence of solutions to Burgers equations in a non-parabolic domain. <i>Electronic Journal of Differential Equations, 2018</i>(20), pp. 1-13.1072-6691https://hdl.handle.net/10877/15075In 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 L2(Ω). 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 [2].Text13 pages1 file (.pdf)enAttribution 4.0 InternationalBurgers equationExistenceUniquenessNon-parabolic domainsAnisotropic Sobolev spaceArticle