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Functional Analysis and Evolution Equations pp 223–238Cite as

On the Curve Shortening Flow with Triple Junction

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Abstract

In this paper we show that the curve shorting flow with contact angle and triple junction in a mirror symmetric configuration is locally well posed in suitable Hölder spaces.

In memoriam Günter Lumer

The second author is corresponding author. He is grateful to the DFG for financial support through the Graduiertenkolleg 615 “Interaction of Modeling, Computation Methods and Software Concepts for Scientific-Technological Problems”.

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References

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Leibniz Hannover University, D-30167, Hannover, Germany

    Joachim Escher

  2. Department of Mathematics, Sun Yat-sen University, 510275, Guangzhou, P. R. China

    Zhaoyong Feng

Authors
  1. Joachim Escher
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  2. Zhaoyong Feng
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057, Zürich, Switzerland

    Herbert Amann

  2. Abteilung Angewandte Analysis, Universität Ulm, 89069, Ulm, Germany

    Wolfgang Arendt

  3. Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstr. 7, 64289, Darmstadt, Germany

    Matthias Hieber

  4. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803, USA

    Frank M. Neubrander

  5. Université de Valenciennes et du Hainaut Cambrésis, Le Mont Houy, 59313, Valenciennes Cedex 9, France

    Serge Nicaise

  6. Laboratoire de Mathématiques Pures et Appliquées — LMPA “Joseph Liouville”, Université du Littoral-Côte d’Opale, 50, rue F. Buisson, 62228, Calais Cedex, France

    Joachim von Below

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Escher, J., Feng, Z. (2007). On the Curve Shortening Flow with Triple Junction. In: Amann, H., Arendt, W., Hieber, M., Neubrander, F.M., Nicaise, S., von Below, J. (eds) Functional Analysis and Evolution Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7794-6_15

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