caa a22 4500 606193804 CHVBK 20210128100911.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00030-014-0275-0 doi (NATIONALLICENCE)springer-10.1007/s00030-014-0275-0 Shao Yuanzhen Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, 37240, Nashville, TN, USA aut A family of parameter-dependent diffeomorphisms acting on function spaces over a Riemannian manifold and applications to geometric flows [Elektronische Daten] [Yuanzhen Shao] It is the purpose of this article to establish a technical tool to study regularity of solutions to parabolic equations on manifolds. As applications of this technique, we prove that solutions to the Ricci-DeTurck flow, the surface diffusion flow and the mean curvature flow enjoy joint analyticity in time and space, and solutions to the Ricci flow admit temporal analyticity. Springer Basel, 2014 Function spaces on Riemannian manifolds nationallicence Regularity of solutions to parabolic equations nationallicence Real analytic solutions nationallicence Geometric evolution equations nationallicence The Ricci flow nationallicence The surface diffusion flow nationallicence The mean curvature flow nationallicence Maximal regularity nationallicence The implicit function theorem nationallicence Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/1(2015-02-01), 45-85 1021-9722 22:1<45 2015 22 30 https://doi.org/10.1007/s00030-014-0275-0 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/s00030-014-0275-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shao Yuanzhen Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, 37240, Nashville, TN, USA aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/1(2015-02-01), 45-85 1021-9722 22:1<45 2015 22 30