Elliptic equations with VMO a, b$\in L_{d}$, and c$\in L_{d/2}$
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Publication:5853492
DOI10.1090/tran/8282zbMath1460.35069arXiv2004.01778OpenAlexW3086967488MaRDI QIDQ5853492
Publication date: 10 March 2021
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.01778
Diffusion processes (60J60) Second-order elliptic equations (35J15) Strong solutions to PDEs (35D35)
Related Items (9)
Elliptic equations in divergence form with drifts in 𝐿² ⋮ Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains ⋮ Degenerate linear parabolic equations in divergence form on the upper half space ⋮ Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients ⋮ On diffusion processes with drift in a Morrey class containing \(L_{d+2}\) ⋮ Dirichlet problems for second order linear elliptic equations with \(L^1 \)-data ⋮ On strong solutions of Itô's equations with \(\sigma\in W_{\mathtt{d}}^1\) and \(\mathtt{b}\in{L_{\mathtt{d}}}\) ⋮ Aleksandrov’s estimates for elliptic equations with drift in Morrey spaces containing 𝐿_{𝑑} ⋮ Parabolic equations with unbounded lower-order coefficients in Sobolev spaces with mixed norms
Cites Work
- On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
- Backward stochastic differential equations and Dirichlet problems of semilinear elliptic operators with singular coefficients
- On \(L^p\)-resolvent estimates for second-order elliptic equations in divergence form
- Stochastic ODEs and stochastic linear PDEs with critical drift: regularity, duality and uniqueness
- On weak uniqueness for some diffusions with discontinuous coefficients
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Venttsel Boundary Value Problems with Discontinuous Data
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