caa a22 4500 445836814 CHVBK 20180317145332.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00209-010-0720-7 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0720-7 Lifespan theorem for constrained surface diffusion flows [Elektronische Daten] [James McCoy, Glen Wheeler, Graham Williams] We consider closed immersed hypersurfaces in $${\mathbb R^{3}}$$ and $${\mathbb R^4}$$ evolving by a class of constrained surface diffusion flows. Our result, similar to earlier results for the Willmore flow, gives both a positive lower bound on the time for which a smooth solution exists, and a small upper bound on a power of the total curvature during this time. By phrasing the theorem in terms of the concentration of curvature in the initial surface, our result holds for very general initial data and has applications to further development in asymptotic analysis for these flows. Springer-Verlag, 2010 Global differential geometry nationallicence Fourth order nationallicence Geometric analysis nationallicence McCoy James Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut Wheeler Glen Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut Williams Graham School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 147-178 0025-5874 269:1-2<147 2011 269 209 https://doi.org/10.1007/s00209-010-0720-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0720-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- McCoy James Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut NATIONALLICENCE 700 1- Wheeler Glen Institute for Mathematics and its Applications, School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut NATIONALLICENCE 700 1- Williams Graham School of Mathematics and Applied Statistics, University of Wollongong, Northfields Ave., 2500, Wollongong, NSW, Australia aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/1-2(2011-10-01), 147-178 0025-5874 269:1-2<147 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer