Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix

DOI10.1016/j.na.2015.03.006zbMath1331.35068OpenAlexW4245520148MaRDI QIDQ2349023

A.I.Kozhanov, Arina A. Arkhipova Arkhipova

Publication date: 16 June 2015

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.2015.03.006

zbMATH Keywords

Morrey spacesVMO spacesmodified boundary \(A(t)\)-caloric approximationnonsmooth in time nonlinearities

Mathematics Subject Classification ID

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

Related Items (11)

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

Cites Work

• On the \(L_p\)-solvability of higher-order parabolic and elliptic systems with BMO coefficients
• The boundary regularity of non-linear parabolic systems. II
• The boundary regularity of non-linear parabolic systems I
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
• Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
• Second order parabolic systems, optimal regularity, and singular sets of solutions
• Partial regularity for solutions of quasilinear parabolic systems with nonsmooth in time principal matrix
• Parabolic and Elliptic Equations with VMO Coefficients
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary partial regularity for solutions of quasilinear parabolic systems with non smooth in time principal matrix