Papers of Oliver Schnürer

Recent preprints

Existence proofs for rotationally symmetric translating solutions to mean curvature flow,
Hakar Raji, Oliver C. Schnürer

In refereed journals

• Mean curvature flow in asymptotically flat product spacetimes,
  Klaus Kroencke, Oliver Lindblad Petersen, Felix Lubbe, Tobias Marxen, Wolfgang Maurer, Wolfgang Meiser, Oliver C. Schnürer, Áron Szabó, Boris Vertman,
  J. Geom. Anal. 31 (2021), no. 6, 5451-5479.
• Weak solutions to mean curvature flow respecting obstacles,
  Melanie Rupflin and Oliver C. Schnürer,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 20 (2020), no. 4, 1429-1467.
• Mean curvature flow without singularities,
  Mariel Sáez Trumper and Oliver C. Schnürer,
  J. Differential Geom. 97 (2014), no. 3, 545-570.
• Stability of hyperbolic space under Ricci flow,
  Oliver C. Schnürer, Felix Schulze, and Miles Simon,
  Comm. Anal. Geom. 19 (2011), no. 5, 1023-1047.
• Stability of mean convex cones under mean curvature flow,
  Julie Clutterbuck and Oliver C. Schnürer
  Math. Z. 267 (2011), no. 3-4, 535-547.
• Evolution of convex lens-shaped networks under curve shortening flow,
  Oliver C. Schnürer, Abderrahim Azouani, Marc Georgi, Juliette Hell, Nihar Jangle, Amos Koeller, Tobias Marxen, Sandra Ritthaler, Mariel Sáez, Felix Schulze, and Brian Smith,
  Trans. Amer. Math. Soc. 363 (2011), 2265--2294.
• Stability of Euclidean space under Ricci flow,
  Oliver C. Schnürer, Felix Schulze, and Miles Simon,
  Comm. Anal. Geom. 16 (2008), no. 1, 127-158.
• Self-similarly expanding networks to curve shortening flow,
  Oliver C. Schnürer and Felix Schulze,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 6 (2007), no. 4, 511-528.
• Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space,
  Pierre Bayard and Oliver C. Schnürer,
  J. reine angew. Math. 627 (2009), 1-29.
• Convexity estimates for flows by powers of the mean curvature,
  Felix Schulze, appendix with Oliver C. Schnürer,
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 5 (2006), no. 2, 261--277.
• Stability of translating solutions to mean curvature flow,
  Julie Clutterbuck, Oliver C. Schnürer, and Felix Schulze,
  Calc. Var. Partial Differential Equations 29 (2007), no. 3, 281--293.
• Convex functions with unbounded gradient,
  Results Math. 48 (2005), 158-161.
• Surfaces expanding by the inverse Gauß curvature flow,
  J. reine angew. Math. 600 (2006), 117-134.
• Surfaces contracting with speed |A|²,
  J. Differential Geom. 71 (2005), no. 3, 347-363.
• Schouten tensor equations in conformal geometry with prescribed boundary metric,
  Electron. J. Diff. Eqns., Vol. 2005 (2005), No. 81, 17 pp.
• Stability of gradient Kähler-Ricci solitons,
  Albert Chau and Oliver C. Schnürer,
  Comm. Anal. Geom. 13 (2005), no. 4, 769-800.
• Translating solutions for Gauß curvature flows with Neumann boundary condition,
  Oliver C. Schnürer and Hartmut Schwetlick,
  Pacific J. Math. 213 (2004), no. 1, 89-109.
• Flows towards reflectors,
  Analysis 23 (2003), 261-272.
• Translating solutions to the second boundary value problem for curvature flows,
  Manuscripta Math. 108 (2002), 319-347.
• Neumann and second boundary value problems for Hessian and Gauß curvature flows,
  Oliver C. Schnürer and Knut Smoczyk,
  Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 20 (2003), 1043-1073.
• Hypersurfaces of prescribed Gauß curvature in exterior domains,
  Felix Finster and Oliver C. Schnürer,
  Calc. Var. Partial Differential Equations 15 (2002), 67-80.
• Evolution of hypersurfaces in central force fields,
  Oliver C. Schnürer and Knut Smoczyk,
  J. reine angew. Math. 550 (2002), 77-95.
• A generalized Minkowski problem with Dirichlet boundary condition,
  Trans. Amer. Math. Soc. 355 (2003), 655-663.
• The Dirichlet problem for Weingarten hypersurfaces in Lorentz manifolds,
  Math. Z. 242 (2002), 159-181.

Other papers

• Stetigkeitswürfel: Spielerisch den Umgang mit der Definition der Stetigkeit erlernen, journal, pdf tex
  Oliver C. Schnürer, Jan-Hendrik Treude
  Mitt. Dtsch. Math.-Ver. 27 (2019), no. 2, 64–67.
• Decay at infinity for parabolic equations,
  Oliver C. Schnürer and Hartmut Schwetlick.
• Expandierende und kontrahierende Flächen
• A Splitting Theorem for directed minimal Cones
• Regularity of directed minimal Cones
• Regularität minimaler Subgraphen in R⁸

In books

• Geometric flow equations
  Geometric flows and the geometry of space-time, 77–121, Tutor. Sch. Workshops Math. Sci., Birkhäuser/Springer, Cham, 2018.