caa a22 4500 605496188 CHVBK 20210128100535.0 cr unu---uuuuu 210128e20150601xx s 000 0 eng 10.1007/s10231-013-0392-0 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0392-0 Erhardt André Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany aut Hölder estimates for parabolic obstacle problems [Elektronische Daten] [André Erhardt] 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. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Hölder continuity nationallicence Nonlinear parabolic obstacle problems nationallicence Variational inequality nationallicence Superquadratic growth nationallicence Localizable solutions nationallicence Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/3(2015-06-01), 645-671 0373-3114 194:3<645 2015 194 10231 https://doi.org/10.1007/s10231-013-0392-0 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0392-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Erhardt André Department Mathematik, Universität Erlangen-Nürnberg, Cauerstraße 11, 91058, Erlangen, Germany aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/3(2015-06-01), 645-671 0373-3114 194:3<645 2015 194 10231