Elliptic equations in divergence form with drifts in L²

2021/04/03 by Hyunwoo Kwon, Kwon, Hyunwoo
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2104.01300

Abstract

We consider the Dirichlet problem for second-order linear elliptic equations in divergence form -div (A∇ u)+b ⋅ ∇ u+λu=f+div F in Ω\quadand u=0 on ∂Ω, in bounded Lipschitz domain Ω in ℝ², where A:ℝ²→ ℝ²², b : Ω→ ℝ², and λ≥ 0 are given. If 2

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