Parabolic systems with polynomial growth and regularity
By Frank Duzaar, Giuseppe Mingione, K. Steffen. 2011
167 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/2da23ca8f89894128734a751117fcdcecdcc6fa2
How researchers see this paper
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In Applied Mathematics
- Verena Bogelein
- Giuseppe Mingione
- Paolo Baroni
- Paolo Marcellini
- Frank Duzaar
- Mikko Parviainen
- A. Jungel
- Cristiana De Filippis
In Computational Theory and Mathematics
- Verena Bogelein
- Giuseppe Mingione
- Paolo Baroni
- Paolo Marcellini
- Frank Duzaar
- Mikko Parviainen
- A. Jungel
- Cristiana De Filippis
Citations in the corpus
- Self-improving property of nonlinear higher order parabolic systems near the boundary (2010, background): “For recent parabolic applications of higher integrability in the framework of partial regularity and Calder ónZygmund type estimates, see for example Acerbi-Mingione [4], Acerbi-MingioneSeregin [5], B̈ogelein [10], Duzaar-Mingione [16], Duzaar-Mingione-Steffen [17] and B̈ogelein-Duzaar-Mingione [11]”
- Parabolic equations with p, q-growth (2013, result): “Here the standard case p = q is well understood and we refer to the famous results in [7–9], while for partial regularity results of parabolic systems we refer to [1,2,10].”
- The boundedness-by-entropy method for cross-diffusion systems (2015, background): “The regularity of the solutions to systems with diagonal or full diffusion matrix was investigated in, for instance, [3, 28, 47, 55].”
- Global Calderón–Zygmund theory for nonlinear parabolic systems (2013, methodology): “…the special case when F ∈ L ∞ has been obtained by Misawa [33]. time The local Calder´on & Zygmund theory for the dependent, parabolic case together with a quantitative estimate has been achieved by Acerbi & Mingione [3] and for more general non-linear systems by Duzaar & Mingione & Steffen [23].”
- The boundedness-by-entropy principle for cross-diffusion systems (2014, background): “The regularity of the solutions to systems with diagonal or full diffusion matrix was investigated in, for instance, [3, 26, 44, 50].”
- Calderón–Zygmund estimates for parabolic p(x,t)-Laplacian systems (2014, methodology): “Thereby we allow the presence of eventually discontinuous coefficients a(x, t), requiring only a VMO condition with respect to the spatial variable x.”