Harman, AzizHarman, Ezgi2021-04-262021-04-262020-06-19Harman, A., Harman, E. (2020). First boundary value problem for cordes-type semilinear parabolic equation with discontinuous coefficients. Journal of Mathematics. https://doi.org/10.1155/2020/10190382314-46292314-4785https://doi.org/10.1155/2020/1019038https://downloads.hindawi.com/journals/jmath/2020/1019038.pdfhttps://hdl.handle.net/20.500.12402/2979For a class of semilinear parabolic equations with discontinuous coefficients, the strong solvability of the Dirichlet problem is studied in this paper. The problem ∑i,j=1naijt,xuxixj-ut+gt,x,u=ft,x,uΓQT=0, in QT=Ω×0,T is the subject of our study, where Ω is bounded C2 or a convex subdomain of En+1,ΓQT=∂QT\∖t=T. The function gx,u is assumed to be a Caratheodory function satisfying the growth condition gt,x,u≤b0uq, for b0>0,q∈0,n+1/n-1,n≥2, and leading coefficients satisfy Cordes condition b0>0,q∈0,n+1/n-1,n≥2.eninfo:eu-repo/semantics/openAccessAttribution-ShareAlike 3.0 United StatesArticleQ3Q1