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A regularity theorem for curvature flows

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Publication:699251
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DOI10.4171/RMI/312zbMath1011.49027MaRDI QIDQ699251

Lihe Wang

Publication date: 24 November 2002

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/1045578694

zbMATH Keywords

regularitymean curvature flowevolution equationparabolic equations


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Regularity of solutions in optimal control (49N60)




Cites Work

  • Unnamed Item
  • Interior a priori estimates for solutions of fully nonlinear equations
  • Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
  • Motion of a set by the curvature of its boundary
  • A regularity theorem for geometric equations
  • An elementary regularity theory of minimal surfaces
  • Normal and integral currents
  • On the regularity theory of fully nonlinear parabolic equations: II
  • Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
  • The Motion of a Surface by Its Mean Curvature. (MN-20)
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