Weighted Gagliardo–Nirenberg Inequalities Involving BMO Norms and Solvability of Strongly Coupled Parabolic Systems

DOI10.1515/ans-2015-5006zbMath1336.35185OpenAlexW2466547777MaRDI QIDQ2789502

Dung Le

Publication date: 1 March 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-5006

zbMATH Keywords

parabolic systemsHölder regularityBMO weak solutions\(A_p\)-classes

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Harmonic analysis and PDEs (42B37) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (9)

Weak solutions of the Shigesada-Kawasaki-Teramoto equations and their attractors ⋮ Global existence for some cross diffusion systems with equal cross diffusion/reaction rates ⋮ Unnamed Item ⋮ Weighted Gagliardo-Nirenberg interpolation inequalities ⋮ 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 ⋮ On the global existence of a generalized Shigesada-Kawasaki-Teramoto system

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