On the fractional differentiability of the spatial derivatives of weak solutions to nonlinear parabolic systems of higher order

DOI10.1007/S10587-016-0256-ZzbMath1389.35305OpenAlexW2461661826WikidataQ126709287 ScholiaQ126709287MaRDI QIDQ5739693

Roberto Amato

Publication date: 19 July 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145723

zbMATH Keywords

weak solutionnonlinear parabolic systemfractional differentiabilityspatial derivative

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Higher-order parabolic systems (35K41)

Cites Work

• Local differentiability of nonlinear parabolic systems of second order with nonlinearity \(q{\geq}2\)
• A result of differentiability of nonlinear parabolic systems under monotonicity hypothesis
• Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth
• On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities
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