Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlinearities

zbMath0894.35050MaRDI QIDQ1378848

Joachim Naumann, Joerg Wolf

Publication date: 8 September 1998

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_1997__98__253_0

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Second-order parabolic systems (35K40)

Related Items

Existence of regular solutions to a class of parabolic systems in two space dimensions with critical growth behaviour, Interior differentiability results for nonlinear variational parabolic systems with nonlinearity \(1<q<2\), Generalized Gagliardo-Nirenberg estimates and differentiability of the solutions to monotone nonlinear parabolic systems, Everywhere Hölder continuity of the spatial gradient of weak solutions to nonlinear parabolic systems, Problems in mathematical physics and function theory. Transl. from the Russian, Global solvability of the Cauchy-Dirichlet problem for nondiagonal parabolic systems with variational structure in the case of two spatial variables, On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth

Cites Work

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• A result of differentiability of nonlinear parabolic systems under monotonicity hypothesis
• On the interior differentiability of weak solutions of parabolic systems with quadratic growth nonlinearities