On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities

zbMath0823.35027MaRDI QIDQ1813282

Joachim Naumann

Publication date: 25 June 1992

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1990__83__55_0

zbMATH Keywords

Hölder continuity of the gradient

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items

Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities, \(L^\infty\) a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems, Generalized Gagliardo-Nirenberg estimates and differentiability of the solutions to monotone nonlinear parabolic systems, On the fractional differentiability of the spatial derivatives of weak solutions to nonlinear parabolic systems of higher order

Cites Work

• Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth
• On the partial regularity of weak solutions on nonlinear parabolic systems
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