High order curvature flows of plane curves with generalised Neumann boundary conditions
-
James McCoy
,
Glen Wheeler
and
Yuhan Wu
Abstract
We consider the parabolic polyharmonic diffusion and the
Funding source: Australian Research Council
Award Identifier / Grant number: DP180100431
Funding statement: The research of the first author was supported by Discovery Project DP180100431 of the Australian Research Council. Part of this work was completed while the first author was a Visiting Professor at the Okinawa Institute for Science and Technology. The research of the third author was supported by a University of Wollongong Faculty of Engineering and Information Sciences Postgraduate research scholarship.
Acknowledgements
The authors are grateful to the anonymous referees whose comments have led to improvements in this article. They are also grateful for the support listed below.
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Articles in the same Issue
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- On a comparison principle for Trudinger’s equation
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- An extensive study of the regularity of solutions to doubly singular equations
- New features of the first eigenvalue on negatively curved spaces
- High order curvature flows of plane curves with generalised Neumann boundary conditions
- (BV,L p )-decomposition, p = 1,2, of functions in metric random walk spaces
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Articles in the same Issue
- Frontmatter
- Michell truss type theories as a Γ-limit of optimal design in linear elasticity
- The local structure of the free boundary in the fractional obstacle problem
- Homogenization of quadratic convolution energies in periodically perforated domains
- Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow
- Regularity for minimizers of a class of non-autonomous functionals with sub-quadratic growth
- On a comparison principle for Trudinger’s equation
- Equivalence of ray monotonicity properties and classification of optimal transport maps for strictly convex norms
- An extensive study of the regularity of solutions to doubly singular equations
- New features of the first eigenvalue on negatively curved spaces
- High order curvature flows of plane curves with generalised Neumann boundary conditions
- (BV,L p )-decomposition, p = 1,2, of functions in metric random walk spaces
- Causal variational principles in the σ-locally compact setting: Existence of minimizers
- On sub-Riemannian geodesic curvature in dimension three
- Existence for singular critical exponential (𝑝, 𝑄) equations in the Heisenberg group
