Perturbations of elliptic operators in chord arc domains
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Publication:2875851
zbMath1305.35042arXiv1210.5591MaRDI QIDQ2875851
Jill Pipher, Tatiana Toro, Emmanouil Milakis
Publication date: 12 August 2014
Full work available at URL: https://arxiv.org/abs/1210.5591
Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)
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Generalized Carleson perturbations of elliptic operators and applications ⋮ On the condition for elliptic operators in 1-sided nontangentially accessible domains satisfying the capacity density condition ⋮ Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries ⋮ Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition ⋮ Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains ⋮ Elliptic measures for Dahlberg-Kenig-Pipher operators: asymptotically optimal estimates ⋮ Perturbations of elliptic operators in 1-sided chord-arc domains. Part II: Non-symmetric operators and Carleson measure estimates ⋮ Boundary rectifiability and elliptic operators with \(W^{1, 1}\) coefficients ⋮ Carleson perturbations of elliptic operators on domains with low dimensional boundaries ⋮ Perturbations of elliptic operators in 1-sided chord-arc domains. Part I: Small and large perturbation for symmetric operators ⋮ Perturbation theory for solutions to second order elliptic operators with complex coefficients and the \(L^p\) Dirichlet problem ⋮ Elliptic measures and square function estimates on 1-sided chord-arc domains
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