Parabolic equations related to curve motion

DOI10.1016/J.JDE.2011.06.003zbMath1387.53090OpenAlexW2154139652MaRDI QIDQ639496

Wei Guan, Meijun Zhu

Publication date: 22 September 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.06.003

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• An isoperimetric inequality with applications to curve shortening
• On the formation of singularities in the curve shortening flow
• One-dimensional conformal metric flow
• The heat equation shrinking convex plane curves
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Evolving convex curves
• Axioms and fundamental equations of image processing
• On affine plane curve evolution
• STEADY STATES FOR ONE-DIMENSIONAL CURVATURE FLOWS
• ON THE HIGHER ORDER CONFORMAL COVARIANT OPERATORS ON THE SPHERE
• Classification of limiting shapes for isotropic curve flows

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