Hölder estimates for parabolic obstacle problems
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| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-013-0392-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0392-0 | ||
| 100 | 1 | |a Erhardt |D André |u Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany |4 aut | |
| 245 | 1 | 0 | |a Hölder estimates for parabolic obstacle problems |h [Elektronische Daten] |c [André Erhardt] |
| 520 | 3 | |a In this paper, we establish the local Hölder continuity of the spatial gradient of the solution $$u$$ u to the parabolic obstacle problem with superquadratic growth. More precisely, we prove that $$\begin{aligned} Du\in C^{0;\alpha ,\frac{\alpha }{2}}_\mathrm {loc}\qquad \text {for some}~\alpha \in (0,1), \end{aligned}$$ D u ∈ C loc 0 ; α , α 2 for some α ∈ ( 0 , 1 ) , provided the coefficients and the obstacle are regular enough. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Hölder continuity |2 nationallicence | |
| 690 | 7 | |a Nonlinear parabolic obstacle problems |2 nationallicence | |
| 690 | 7 | |a Variational inequality |2 nationallicence | |
| 690 | 7 | |a Superquadratic growth |2 nationallicence | |
| 690 | 7 | |a Localizable solutions |2 nationallicence | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 645-671 |x 0373-3114 |q 194:3<645 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0392-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0392-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Erhardt |D André |u Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/3(2015-06-01), 645-671 |x 0373-3114 |q 194:3<645 |1 2015 |2 194 |o 10231 | ||