A note on quasilinear parabolic equations on manifolds
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Publication:4908814
DOI10.2422/2036-2145.201010_001zbMath1272.35123arXiv1010.0733OpenAlexW2963578339MaRDI QIDQ4908814
Luca Martinazzi, Carlo Mantegazza
Publication date: 7 March 2013
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1010.0733
Heat and other parabolic equation methods for PDEs on manifolds (58J35) Quasilinear parabolic equations (35K59) Higher-order parabolic systems (35K41) Initial-boundary value problems for higher-order parabolic systems (35K52)
Related Items (20)
Closed geodesics on reversible Finsler 2-spheres ⋮ The Łojasiewicz-Simon gradient inequality for open elastic curves ⋮ Short-time existence of the Möbius-invariant Willmore flow ⋮ The geometric triharmonic heat flow of immersed surfaces near spheres ⋮ A regularized gradient flow for the \(p\)-elastic energy ⋮ Energy convexity of intrinsic bi-harmonic maps and applications. I: Spherical target ⋮ A new conformal heat flow of harmonic maps ⋮ Willmore flow of complete surfaces ⋮ Semilinear Li and Yau inequalities ⋮ Convergence of the self‐dual U(1)‐Yang–Mills–Higgs energies to the (n−2)$(n-2)$‐area functional ⋮ A gradient flow for the \(p\)-elastic energy defined on closed planar curves ⋮ Ambient obstruction flow ⋮ The \(p\)-elastic flow for planar closed curves with constant parametrization ⋮ Convergence of elastic flows of curves into manifolds ⋮ Higher-order geometric flow of hypersurfaces in a Riemannian manifold ⋮ Stability of geometric flows of closed forms ⋮ Global analysis of the generalised Helfrich flow of closed curves immersed in ℝⁿ ⋮ Higher order Seiberg-Witten functionals and their associated gradient flows ⋮ Functional analytic properties and regularity of the Möbius-invariant Willmore flow in \(\mathbb{R}^n\) ⋮ Short-time existence of the second order renormalization group flow in dimension three
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