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35 p, 460.5 KB Homogenization of a parabolic Dirichlet problem by a method of Dahlberg / Castro, Alejandro J. (Nazarbayev University (Astana, Kazakhstan). Department of Mathematics) ; Strömqvist, Martin (Uppsala University. Department of Mathematics)
Consider the linear parabolic operator in divergence form Hu := ∂tu(X, t) − div(A(X)∇u(X, t)). We employ a method of Dahlberg to show that the Dirichlet problem for H in the upper half plane is well-posed for boundary data in Lp, for any elliptic matrix of coefficients A which is periodic and satisfies a Dini-type condition. [...]
2018 - 10.5565/PUBLMAT6221805
Publicacions matemàtiques, Vol. 62 Núm. 2 (2018) , p. 439-473 (Articles)  

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