Regularity of BMO weak solutions to nonlinear parabolic systems via homotopy

DOI10.1090/S0002-9947-2012-05720-5zbMath1276.35048MaRDI QIDQ2838080

Dung Le

Publication date: 8 July 2013

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

zbMATH Keywords

Hölder regularityBMO maximum principle

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Second-order parabolic systems (35K40) Quasilinear parabolic equations (35K59)

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Weak solutions of the Shigesada-Kawasaki-Teramoto equations and their attractors, Global existence for some cross diffusion systems with equal cross diffusion/reaction rates, The regularity of weak solutions for certain \(n\)-dimensional strongly coupled parabolic systems, Unnamed Item, On the regular set of BMO weak solutions to \(p\)-Laplacian strongly coupled nonregular elliptic systems, Local and global existence of strong solutions to large cross diffusion systems, Global existence and regularity results for strongly coupled nonregular parabolic systems via iterative methods, Existence of strong and nontrivial solutions to strongly coupled elliptic systems, Uniqueness and regularity of unbounded weak solutions to a class of cross diffusion systems, Weighted Gagliardo–Nirenberg Inequalities Involving BMO Norms and Solvability of Strongly Coupled Parabolic Systems, Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts, On the global existence of a generalized Shigesada-Kawasaki-Teramoto system, Gradient Estimates and Global Existence of Smooth Solutions to a Cross-Diffusion System

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