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math.AP2018★ 10 cited
Boundary value problems for second order elliptic operators with complex coefficients
Martin Dindoš, Jill Pipher
The theory of second order complex coefficient operators of the form $\mathcal{L}=\mbox{div} A(x)\nabla$ has recently been developed under the assumption of -ellipticity. In par…
math.AP2018★ 6 cited
Parabolic Dirichlet Boundary Value Problem and VMO-type time-varying domains
Martin Dindoš, Luke Dyer, Sukjung Hwang
We prove the solvability of the parabolic Dirichlet boundary value problem for for a PDE of the form $u_t = \mbox{div} (A \nabla u) + B \cdot \nabla u$ on…