Optimal partial regularity of second-order parabolic systems under natural growth condition

DOI10.1186/1687-2770-2013-152zbMath1295.35151OpenAlexW2168574349WikidataQ59301263 ScholiaQ59301263MaRDI QIDQ2251176

Zhong Tan, Shuhong Chen

Publication date: 11 July 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-152

zbMATH Keywords

nonlinear parabolic systems\(A\)-caloric approximation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40)

Related Items (2)

\(L^{p}\)-estimates for quasilinear subelliptic equations with VMO coefficients under the controllable growth ⋮ Partial regularity of a certain class of non-Newtonian fluids

Cites Work

• On the modeling of electrorheological materials
• Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
• Partial regularity results for minimizers of quasiconvex functionals of higher order
• Second order parabolic systems, optimal regularity, and singular sets of solutions
• The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition
• Mathematical modeling of electrorheological materials

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