The boundary regularity of non-linear parabolic systems. II

DOI10.1016/j.anihpc.2009.09.002zbMath1194.35085OpenAlexW2071617189WikidataQ58880852 ScholiaQ58880852MaRDI QIDQ846393

Giuseppe Mingione, Frank Duzaar, Verena Bögelein

Publication date: 9 February 2010

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2009.09.002

zbMATH Keywords

Cauchy-Dirichlet problemMorrey spaceboundary regularityparabolic systemfractional difference quotientsfractional Sobolev and Nikolskii spacesparabolic Hausdorff dimension of the singular set

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (26)

Partial regularity for subquadratic parabolic systems under controllable growth conditions ⋮ The boundary regularity of non-linear parabolic systems I ⋮ Fractional differentiability for solutions of a class of parabolic systems with \(L^{1,\theta}\)-data ⋮ Regularity of weak solutions to a class of nonlinear problem ⋮ Regularity of solutions to quasilinear parabolic systems with time-nonsmooth principal matrix and the Neumann boundary condition ⋮ Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: \(A(t)\)-caloric method ⋮ Morrey estimates for solutions of singular quadratic nonlinear equations ⋮ Regularity results for solutions of a class of parabolic systems with measure data ⋮ Regularity in parabolic systems with continuous coefficients ⋮ Global estimates for nonlinear parabolic equations ⋮ Partial regularity for subquadratic parabolic systems by \(\mathcal{A}\)-caloric approximation ⋮ Partial regularity for subquadratic parabolic systems with continuous coefficients ⋮ Calderón-Zygmund estimates for parabolic measure data equations ⋮ Global weighted estimates for the gradient of solutions to nonlinear elliptic equations ⋮ Global Calderón-Zygmund theory for nonlinear parabolic systems ⋮ Self-improving property of nonlinear higher order parabolic systems near the boundary ⋮ Boundary regularity in variational problems ⋮ Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices ⋮ On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p,q)-growth ⋮ Higher differentiability of solutions of parabolic systems with discontinuous coefficients ⋮ Partial regularity for doubly nonlinear parabolic systems of the first type ⋮ The regularity of general parabolic systems with degenerate diffusion ⋮ Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth ⋮ Parabolic Systems with Polynomial Growth and Regularity ⋮ Boundary partial regularity for minimizers of discontinuous quasiconvex integrals with general growth ⋮ Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix

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