\(L^ p\) theory and partial Hölder continuity for quasilinear parabolic systems of higher order with strictly controlled growth

DOI10.1007/BF01766852zbMath0573.35050MaRDI QIDQ1063174

Mario Marino, Antonino Maugeri

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

partial Hölder continuityquasilinear systemhigher orderstrictly controlled growth

Mathematics Subject Classification ID

Related Items (5)

Regularity of weak solutions of semilinear parabolic systems of arbitrary order ⋮ Floquet-Bloch Theory for Elliptic Problems with Discontinuous Coefficients ⋮ Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth ⋮ Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space ⋮ High order nonlinear parabolic equations

Cites Work

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• The spaces \(L^ p\), with mixed norm
• On the partial regularity of weak solutions on nonlinear parabolic systems
• Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
• \(L^ p \)regularity and partial Hölder continuity for solutions of second order parabolic systems with strictly controlled growth
• Partial regularity for the solutions to nonlinear parabolic systems
• Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta

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