Interpolation inequalities for weak solutions of nonlinear parabolic systems

DOI10.1186/1029-242X-2011-42zbMath1270.35161WikidataQ59269051 ScholiaQ59269051MaRDI QIDQ352260

Giuseppe Floridia, Maria Alessandra Ragusa

Publication date: 4 July 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Besov spacesdivergence formlocal differentiability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations (35K59) Higher-order parabolic systems (35K41)

Related Items (3)

Well-posedness for the backward problems in time for general time-fractional diffusion equation ⋮ Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations ⋮ Well-posedness for a class of nonlinear degenerate parabolic equations

Cites Work

• Local Hölder regularity for solutions of elliptic systems
• Generalized Gagliardo-Nirenberg estimates and differentiability of the solutions to monotone nonlinear parabolic systems
• On functions of bounded mean oscillation

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