Existence and uniqueness of weak solution in \(W^{1,2+ \epsilon }\) for elliptic equations with drifts in weak-\(L^n\) spaces

DOI10.1016/j.jmaa.2021.125165zbMath1464.35087arXiv2011.07524OpenAlexW3138648693MaRDI QIDQ2661292

Hyunwoo Kwon

Publication date: 3 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07524

zbMATH Keywords

Dirichlet problemelliptic equationsexistence and uniqueness of solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Elliptic equations in divergence form with drifts in 𝐿² ⋮ Dirichlet problems for second order linear elliptic equations with \(L^1 \)-data

Cites Work

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• Existence, Uniqueness, and Regularity Results for Elliptic Equations with Drift Terms in Critical Weak Spaces
• Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains
• Classical Fourier Analysis
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