Using Aleksandrov reflection to estimate the location of the center of expansion
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Publication:5189180
DOI10.1090/S0002-9939-09-10155-7zbMath1184.35165MaRDI QIDQ5189180
Publication date: 8 March 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Initial value problems for second-order parabolic equations (35K15) Curves in Euclidean and related spaces (53A04) Quasilinear parabolic equations (35K59)
Related Items (3)
Inverse curvature flows in Riemannian warped products ⋮ Aleksandrov reflection for extrinsic geometric flows of Euclidean hypersurfaces ⋮ Asymptotic behavior of the isoperimetric deficit for expanding convex plane curves
Cites Work
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- Aleksandrov reflection and nonlinear evolution equations. I: The \(n\)-sphere and \(n\)-ball
- Expansion of embedded curves with turning angle greater than \(-\pi\)
- Geometric expansion of starshaped plane curves
- Asymptotic closeness to limiting shapes for expanding embedded plane curves
- Behavior of the gradient for solutions of parabolic equations on the circle
- The zero set of a solution of a parabolic equation.
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