Partial regularity for subquadratic parabolic systems by \(\mathcal{A}\)-caloric approximation

DOI10.4171/RMI/652zbMath1235.35061MaRDI QIDQ643324

Christoph Scheven

Publication date: 28 October 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1312906777

zbMATH Keywords

partial regularityparabolic systemsharmonic approximationsingular setsubquadratic growth

Mathematics Subject Classification ID

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

Related Items (14)

Partial regularity for subquadratic parabolic systems under controllable growth conditions ⋮ Partial regularity for degenerate parabolic systems with nonstandard growth and discontinuous coefficients ⋮ Regularity of weak solutions to a class of nonlinear problem ⋮ Regularity for the evolution of \(p\)-harmonic maps ⋮ Regularity for the weak solutions to certain parabolic systems under certain growth condition ⋮ \(\mathcal{A}\)-caloric approximation and partial regularity for parabolic systems with Orlicz growth ⋮ Regularity in parabolic systems with continuous coefficients ⋮ Partial regularity for parabolic systems with non-standard growth ⋮ The regularity for nonlinear parabolic systems of \(p\)-Laplacian type with critical growth ⋮ Partial regularity for subquadratic parabolic systems with continuous coefficients ⋮ Interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients for the case: \(1 < m < 2\) ⋮ Partial regularity of a certain class of non-Newtonian fluids ⋮ Partial regularity for parabolic systems with VMO-coefficients ⋮ The regularity of general parabolic systems with degenerate diffusion

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