\(L^ p \)regularity and partial Hölder continuity for solutions of second order parabolic systems with strictly controlled growth
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Publication:1170691
DOI10.1007/BF01789478zbMath0497.35014MaRDI QIDQ1170691
Publication date: 1981
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
global regularitypartial Hölder continuitylocal regularitysecond order parabolic systemsstrictly controlled growth
Related Items
Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth, Lipschitz regularity in vectorial linear transmission problems, \(L^\infty\) a priori bounds for gradients of solutions to quasilinear inhomogeneous fast-growing parabolic systems, Boundedness of the solutions of a kind of nonlinear parabolic systems, On the nonlinear parabolic systems in divergence form. Hölder continuity and partial Hölder continuity of the solutions, Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth, Partial regularity for quasilinear nonuniformly parabolic systems, \(L^ p\) theory and partial Hölder continuity for quasilinear parabolic systems of higher order with strictly controlled growth
Cites Work
- The spaces \(L^ p\), with mixed norm
- Partial Hölder continuity of the gradient of solutions of some nonlinear elliptic systems
- Partial Hölder continuity of solutions of quasilinear parabolic systems of second order with linear growth
- Partial regularity for the solutions to nonlinear parabolic systems
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
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