Klaus Ecker

Research Papers

• K. Ecker, Entropy and differential Harnack type formulas for evolving domains, Calculus of Variations and PDE (revised version October 9, 2017) pdf | Springer Link
• K. Ecker, Partial Regularity at the First Singular Time for Hypersurfaces Evolving by Mean Curvature, Math. Annalen, 356 (1), 217-240 (2013), revision added on April 8, 2015 pdf
  Erratum to: Partial regularity at the first singular time for hypersurfaces evolving by mean curvature Springer Link | pdf
  
• K. Ecker, A Formula Relating Entropy Monotonicity to Harnack Inequalities. Comm. in Analysis and Geom. 15, No 5, 1025 - 1061 (2008), revision added on June 26, 2013 pdf
• K. Ecker, Dan Knopf, Lei Ni, and Peter Topping, Local Monotonicity and Mean Value Formulas for evolving Riemannian Manifolds, Journal für die Reine und Angewandte Mathematik 616, 89–130 (2008) pdf
• K. Ecker, Local Monotonicity Formulas for some Nonlinear Diffusion Equations, Calculus of Variations 23, No. 1, 67 - 81 (2005)
  pdf | ps
• K. Ecker, Mean curvature flow of spacelike hypersurfaces near null initial data, Commun. Analysis and Geometry, 11, No. 2, 181-205 (2003).
• K. Ecker, A local mean value formula for mean curvature flow, Annals of Mathematics, 154, (2001), 503 - 525
• K. Ecker, Logarithmic Sobolev inequalities on submanifolds of Euclidean space, J. reine und angew. Math. 522 (2000), 105 - 118
• K. Ecker, Mean curvature evolution of spacelike hypersurfaces, Proceedings of the Centre for Mathematics and its Applications, Australian National University, Volume 37 (1999), 119 - 132
• K. Ecker, Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space, Journal of Differential Geometry, 46 (1997), 481 - 498
• K. Ecker, On mean curvature flow of surfaces in Riemannian manifolds, Proc. Centre for Math. and its Applications, ANU, Vol 33 (1994)
• K. Ecker, On regularity for mean curvature flow of hypersurfaces, Calc. Var. 3, 107 - 126 (1995)
• K. Ecker, On mean curvature flow of spacelike hypersurfaces in asymptotically flat space-times, J. Austral. Math. Soc. (Series A) 55, 41 - 59 (1993)
• K. Ecker, Local techniques for mean curvature flow, Proceedings of the Centre for Mathematics and its Applications, ANU, Vol. 26 (1991)
• K. Ecker and G. Huisken, Interior estimates for hypersurfaces moving by mean curvature, Inventiones Mathematicae 105, 547 - 569 (1991)
• K. Ecker and G. Huisken, Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes, Comm. Math. Phys. 135, 595 - 613 (1991)
  Erratum added 22. January 2018
• K. Ecker and G. Huisken, A Bernstein result for minimal graphs of controlled growth, J. Diff. Geom. 31, 397- 400 (1990)
• K. Ecker and G. Huisken, Mean curvature evolution of entire graphs, Annals of Mathematics 130, 453 - 471 (1989)
• K. Ecker and G. Huisken, Interior curvature estimates for hypersurfaces of prescribed mean curvature, Ann. Inst. H. Poincaré, Analyse non linéaire, Vol. 6, no. 4, 251 - 260 (1989)
• K. Ecker and G. Huisken, Immersed hypersurfaces with constant Weingarten curvature, Math. Annalen 283, no. 2, 329 - 332 (1989)
• K. Ecker, Area minimizing integral currents with movable boundary parts of prescribed mass, Ann. Inst. H. Poincaré, Analyse non linéaire, Vol. 6, no. 4, 261 - 293 (1989)
• K. Ecker, Area maximizing hypersurfaces in Minkowski space having an isolated singularity, manuscripta mathematica 56, 375 - 397 (1986)
• K. Ecker, An interior gradient bound for solutions of equations of capillary type, Arch. Rational Mech. Analysis 92, 137 - 151 (1986)
• K. Ecker, Estimates for evolutionary surfaces of prescribed mean curvature, Math. Zeitschrift 180, 179 - 192 (1982)