Publications

publications by categories in reversed chronological order. generated by jekyll-scholar.

Preprints

2023

  1. A fractional Willmore-type energy functional – subcritical observations
    Simon Blatt, Giovanni Giacomin, Julian Scheuer, and Armin Schikorra
    Jun 2023

2020

  1. A Reverse Isoperimetric Inequality and its Application to the Gradient Flow of the Helfrich Functional
    Simon Blatt
    Jun 2020
  2. On the analyticity of solutions to non-linear elliptic partial differential systems
    Simon Blatt
    Jun 2020

2009

  1. Note on continuously differentiable isotopies
    Simon Blatt
    Jun 2009

2008

  1. A Lower Bound for the Gromov Distortion of Knotted Submanifolds
    Simon Blatt
    Jun 2008

Journal Articles

2024

  1. Existence of Optimal Flat Ribbons
    Simon Blatt, and Matteo Raffaelli
    J. Geom. Anal., Jun 2024

2022

  1. Analyticity for solution of fractional integro-differential equations
    Simon Blatt
    Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods, Nov 2022
    Id/No 113071
  2. A regularized gradient flow for the \(p\)-elastic energy
    Simon Blatt, Christopher Hopper, and Nicole Vorderobermeier
    Advances in Nonlinear Analysis, Jan 2022
  3. A minimising movement scheme for the \(p\)-elastic energy of curves
    Simon Blatt, Christopher P. Hopper, and Nicole Vorderobermeier
    Journal of Evolution Equations, Jan 2022
    Id/No 41
  4. A Möbius invariant discretization of O’Hara’s Möbius energy
    Simon Blatt, Aya Ishizeki, and Takeyuki Nagasawa
    Journal of Knot Theory and its Ramifications, Jan 2022
    Id/No 2250016
  5. On O’Hara knot energies. I: Regularity for critical knots
    Simon Blatt, Philipp Reiter, and Armin Schikorra
    Journal of Differential Geometry, Jan 2022

2021

  1. Scale-invariant tangent-point energies for knots
    Simon Blatt, Philipp Reiter, Armin Schikorra, and Nicole Vorderobermeier
    Apr 2021

2020

  1. The gradient flow of the Möbius energy: \varepsilon-regularity and consequences
    Simon Blatt
    Analysis & PDE, Apr 2020

2019

  1. A note on singularities in finite time for the \protectL^2 gradient flow of the Helfrich functional
    Simon Blatt
    Journal of Evolution Equations, Feb 2019

2018

  1. Curves Between Lipschitz and \protectC^1 and Their Relation to Geometric Knot Theory
    Simon Blatt
    The Journal of Geometric Analysis, Nov 2018
  2. On the analyticity of critical points of the Möbius energy
    Simon Blatt, and Nicole Vorderobermeier
    Calculus of Variations and Partial Differential Equations, Dec 2018

2017

  1. The gradient flow of O’Hara’s knot energies
    Simon Blatt
    Mathematische Annalen, Apr 2017
  2. Monotonicity formulas for extrinsic triharmonic maps and the triharmonic Lane–Emden equation
    Simon Blatt
    Journal of Differential Equations, Apr 2017

2016

  1. Well-posedness of the supercritical Lane–Emden heat flow in Morrey spaces
    Simon Blatt, and Michael Struwe
    ESAIM: Control, Optimisation and Calculus of Variations, Apr 2016

2015

  1. Regularity theory for tangent-point energies: the non-degenerate sub-critical case
    Simon Blatt, and Philipp Reiter
    Adv. Calc. Var., Apr 2015
  2. Towards a regularity theory for integral Menger curvature
    Simon Blatt, and Philipp Reiter
    Ann. Acad. Sci. Fenn. Math., Apr 2015
  3. Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth
    Simon Blatt, Philipp Reiter, and Armin Schikorra
    Transactions of the American Mathematical Society, Apr 2015
  4. An Analytic Framework for the Supercritical Lane–Emden Equation and its Gradient Flow
    Simon Blatt, and Michael Struwe
    Int. Math. Res. Not. IMRN, Apr 2015
  5. Boundary regularity for the supercritical Lane-Emden heat flow
    Simon Blatt, and Michael Struwe
    Calculus of Variations and Partial Differential Equations, Apr 2015
  6. Erratum to: Boundary regularity for the supercritical Lane-Emden heat flow
    Simon Blatt, and Michael Struwe
    Calculus of Variations and Partial Differential Equations, Apr 2015

2014

  1. How nice are critical knots? Regularity theory for knot energies
    Simon Blatt, and Philipp Reiter
    Journal of Physics: Conference Series, Apr 2014
  2. Modeling repulsive forces on fibres via knot energies
    Simon Blatt, and Philipp Reiter
    Molecular Based Mathematical Biology, Apr 2014

2013

  1. A note on integral Menger curvature for curves
    Simon Blatt
    Math. Nachr., Apr 2013
  2. The energy spaces of the tangent point energies
    Simon Blatt
    J. Topol. Anal., Apr 2013
  3. The gradient flow of the Möbius energy
    Simon Blatt
    Oberwolfach Reports, Apr 2013
  4. Stationary points of O’Hara’s knot energies
    Simon Blatt, and Philipp Reiter
    Manuscripta Math., Apr 2013

2012

  1. The gradient flow of the Möbius energy near local minimizers
    Simon Blatt
    Calc. Var. Partial Differential Equations, Apr 2012
  2. Boundedness and regularizing effects of O’Hara’s knot energies
    Simon Blatt
    J. Knot Theory Ramifications, Apr 2012
  3. Sharp boundedness and regularizing effects of the integral Menger curvature for submanifolds
    Simon Blatt, and Sławomir Kolasiński
    Adv. Math., Apr 2012

2010

  1. Loss of convexity and embeddedness for geometric evolution equations of higher order
    Simon Blatt
    Journal of Evolution Equations, Apr 2010

2009

  1. On a generalization of Jentzsch’s theorem
    Hans-Peter Blatt, Simon Blatt, and Wolfgang Luh
    J. Approx. Theory, Apr 2009
  2. A singular example for the Willmore flow
    Simon Blatt
    Analysis, Apr 2009
  3. Chord-arc constants for submanifolds of arbitrary codimension
    Simon Blatt
    Adv. Calc. Var., Apr 2009

2008

  1. Compactness results for the Ricci flow
    Simon Blatt
    Apr 2008
  2. Does finite knot energy lead to differentiability?
    Simon Blatt, and Philipp Reiter
    Journal of Knot Theory and Its Ramifications, Apr 2008