Poisson kernel characterization of Reifenberg flat chord arc domains

By Carlos E. Kenig, T. Toro. 2003

115 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/69b01d99c43c770169c64b8dc0fa8b0ddcb4ad72

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations (2013, background): “For more on Reifenberg flat domains and their applications, we refer to the papers [16, 19, 20, 21, 32, 36].”
Parabolic equations in time dependent Reifenberg domains (2007, background): “They exhibit minimal geometric properties for some natural properties in geometric analysis to hold (see [9,12–14,17,19]).”
Free boundary regularity below the continuous threshold: 2-phase problems (2006, background): “It corresponds to the statement at the beginning of section 3 in [14].”
Elliptic equations with BMO nonlinearity in Reifenberg domains (2008, methodology): “For further discussion on Reifenberg domains we refer to [15,17–19,27,29].”
On the extension property of Reifenberg-flat domains (2012, background): “in the study of the harmonic measure (see Kenig and Toro [19, 20, 21] and Toro [31, 32]) and of the regularity for free boundary problems, like the minimization of the Mumford-Shah functional (see [22, 23]).”
Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains (2007, background): “Our presentation follows closely that of [14], [15], with also some influence from [10].”
Singular Integrals and Elliptic Boundary Problems on Regular Semmes–Kenig–Toro Domains (2009, background): “76) plays the role of the hypothesis adopted in [65] and [66] that ! is a sufficiently flat Reifenberg domain.”
Gradient estimates for elliptic systems in non-smooth domains (2008, background): “They exhibit minimal geometric properties for some natural properties in geometric analysis to hold (see [14,18–21,27,28]).”
Parabolic Equations in Reifenberg Domains (2005, methodology): “, [7, 13, 14, 20, 23–26, 33]).”