Hölder estimates for second-order operators on domains with rough boundary

zbMath1316.35110MaRDI QIDQ2264098

A. F. M. ter Elst, Joachim Rehberg

Publication date: 20 March 2015

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ade/1423055203

zbMATH Keywords

Hölder continuitymixed boundary conditionsecond order operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Weak solutions to PDEs (35D30) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (12)

Elliptic and parabolic regularity for second- order divergence operators with mixed boundary conditions ⋮ Hölder-estimates for non-autonomous parabolic problems with rough data ⋮ \(L^p (I,C^{\alpha} (\Omega))\) regularity for diffusion equations with non-smooth data ⋮ Dirichlet-to-Neumann and elliptic operators on \(C^{1+\{\kappa}\)-domains: Poisson and Gaussian bounds ⋮ Hölder kernel estimates for Robin operators and Dirichlet-to-Neumann operators ⋮ Second order optimality conditions for optimal control of quasilinear parabolic equations ⋮ Characterizations of Sobolev functions that vanish on a part of the boundary ⋮ On maximal parabolic regularity for non-autonomous parabolic operators ⋮ On the \(\mathrm{L}^p\)-theory for second-order elliptic operators in divergence form with complex coefficients ⋮ Interpolation theory for Sobolev functions with partially vanishing trace on irregular open sets ⋮ Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions ⋮ Operators with continuous kernels

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