Second order elliptic equations in \(\mathbb{R}^{d}\) with piecewise continuous coefficients

DOI10.1007/s11118-006-9034-0zbMath1152.35341OpenAlexW2044183235MaRDI QIDQ869274

Do-Yoon Kim

Publication date: 2 March 2007

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-006-9034-0

Mathematics Subject Classification ID

PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15)

Related Items

Parabolic equations with measurable coefficients. II., Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form, Unnamed Item, On elliptic equations in a half space or in convex wedges with irregular coefficients, Parabolic equations with measurable coefficients, Optimal Control of Conditional Value-at-Risk in Continuous Time, On the impossibility of \(W_p^2\) estimates for elliptic equations with piecewise constant coefficients, Parabolic equations with VMO coefficients in Sobolev spaces with mixed norms, Solvability of parabolic equations in divergence form with partially BMO coefficients, Some quantitative homogenization results in a simple case of interface

Cites Work

• Interior \(W^{2,p}\) estimates for non-divergence elliptic equations with discontinuous coefficients
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Nonuniqueness for Second-Order Elliptic Equations with Measurable Coefficients
• On elliptic equations with piecewise constant coefficients
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