Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix

DOI10.1016/J.NA.2013.09.022zbMath1284.35096OpenAlexW2071401689MaRDI QIDQ2637034

Oldřich John, Arina A. Arkhipova Arkhipova, A.I.Kozhanov

Publication date: 18 February 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.09.022

zbMATH Keywords

VMO spacesmodified \(A\)-caloric approximation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

Related Items (12)

Regularity of solutions of the model Venttsel' problem for quasilinear parabolic systems with nonsmooth in time principal matrices ⋮ Parabolic systems with quadratic nonlinearities in the gradient. Regularity of solutions ⋮ 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 ⋮ Regularity of weak solutions to nondiagonal elliptic systems with composite boundary conditions ⋮ Regularity problem for \(2m\)-order quasilinear parabolic systems with non smooth in time principal matrix. \((A(t),m)\)-caloric approximation method ⋮ Regularity of weak solutions to a model problem with conjugation conditions for quasilinear parabolic systems of equations ⋮ Two-phase problem for quasilinear parabolic systems with nondiagonal principal matrix. Regularity of weak solutions ⋮ Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: \(A(t)\)-caloric approximation method ⋮ Regularity of solutions to a model oblique derivative problem for quasilinear parabolic systems with nondiagonal principal matrices ⋮ Regularity problem for one class of nonlinear parabolic systems with non-smooth in time principal matrices ⋮ Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix

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