Note on time-regularity for weak solutions to parabolic systems of 𝑝-Laplace type

DOI10.1090/proc/15344zbMath1467.35076arXiv1912.07449OpenAlexW3132141537MaRDI QIDQ5858392

Moritz Egert, Simon Bortz, Olli Saari

Publication date: 13 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07449

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Multipliers for harmonic analysis in several variables (42B15) Weak solutions to PDEs (35D30) Second-order parabolic systems (35K40) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (2)

Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries ⋮ Sunrise strategy for the continuity of maximal operators

Cites Work

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• General parabolic mixed order systems in \(L_p\) and applications
• On the partial regularity of weak solutions on nonlinear parabolic systems
• On regularity of weak solutions to linear parabolic systems with measurable coefficients
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• Tent space well-posedness for parabolic Cauchy problems with rough coefficients
• Sur les problèmes mixtes pour certains systèmes paraboliques dans des ouverts non cylindriques
• Vector-valued Laplace Transforms and Cauchy Problems
• Classical and Multilinear Harmonic Analysis

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