Harnack inequalities for evolving hypersurfaces
From MaRDI portal
Publication:1340956
DOI10.1007/BF02571941zbMath0807.53044OpenAlexW1993384004MaRDI QIDQ1340956
Publication date: 21 December 1994
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174687
Global submanifolds (53C40) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)
Related Items (49)
Contraction of convex hypersurfaces in Euclidean space ⋮ Inverse anisotropic mean curvature flow and a Minkowski type inequality ⋮ Flow by powers of the Gauss curvature ⋮ Evolution of convex entire graphs by curvature flows ⋮ Harnack estimates for heat equations with potentials on evolving manifolds ⋮ Contracting convex hypersurfaces by curvature ⋮ Differential Harnack estimates for time-dependent heat equations with potentials ⋮ Li-Yau inequalities in geometric analysis ⋮ Constant rank theorems for Li-Yau-Hamilton type matrices of heat equations ⋮ Entropy and a convergence theorem for Gauss curvature flow in high dimension ⋮ Ancient solutions of geometric flows with curvature pinching ⋮ Inverse curvature flows in Riemannian warped products ⋮ Centro-affine normal flows on curves: Harnack estimates and ancient solutions ⋮ Convex ancient solutions to curve shortening flow ⋮ Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions ⋮ Differential Harnack inequalities for heat equations with potentials under geometric flows ⋮ On Gage-Hamilton's entropy formula and Harnack inequality for the curve shortening flow ⋮ Non-homothetic convex ancient solutions for flows by high powers of curvature ⋮ Non-collapsing in fully non-linear curvature flows ⋮ Geometric flows and differential Harnack estimates for heat equations with potentials ⋮ Convex bodies with pinched Mahler volume under the centro-affine normal flows ⋮ Sharp differential estimates of Li-Yau-Hamilton type for positive (p, p) forms on Kähler manifolds ⋮ Singularities of Three-Dimensional Ricci Flows ⋮ More mixed volume preserving curvature flows ⋮ Harnack inequality and pinching estimates for anisotropic curvature flow of hypersurfaces ⋮ Harnack inequalities: an introduction ⋮ Harnack estimate for the \(H^{k}\)-flow ⋮ Harnack estimates for a kind of porous medium equation ⋮ Differential Harnack inequalities for heat equations with potentials under the Bernhard List's flow ⋮ Stability of solutions of nonlinear parabolic equations for harmonic mean curvature flows ⋮ Nonlinear degenerate curvature flows for weakly convex hypersurfaces ⋮ Harnack estimate for curvature flows depending on mean curvature ⋮ Space-time formulation of Harnack inequalities for curvature flows of hypersurfaces ⋮ The planar Busemann-Petty centroid inequality and its stability ⋮ Interpolating between constrained Li-Yau and Chow-Hamilton Harnack inequalities on a surface ⋮ Type-II singularities of two-convex immersed mean curvature flow ⋮ Contraction of convex hypersurfaces by nonhomogeneous functions of curvature ⋮ Harnack inequality for the negative power Gaussian curvature flow ⋮ Translating solutions to mean curvature flow ⋮ An invariant second-order curve flow in centro-affine geometry ⋮ HARNACK ESTIMATES FOR NONLINEAR BACKWARD HEAT EQUATIONS WITH POTENTIALS ALONG THE RICCI-BOURGUIGNON FLOW ⋮ Contracting convex immersed closed plane curves with slow speed of curvature ⋮ Harnack inequalities for curvature flows in Riemannian and Lorentzian manifolds ⋮ On asymptotic behavior for singularities of the powers of mean curvature flow ⋮ Constrained matrix Li-Yau-Hamilton estimates on Kähler manifolds ⋮ Differential Harnack estimates for backward heat equations with potentials under geometric flows ⋮ Surfaces expanding by the inverse Gauß curvature flow ⋮ Ancient mean curvature flows out of polytopes ⋮ Ancient solutions for flow by powers of the curvature in \(\mathbb{R}^2\)
Cites Work
- Unnamed Item
- On the expansion of starshaped hypersurfaces by symmetric functions of their principal curvatures
- The Harnack estimate for the Ricci flow
- Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface
- Flow by mean curvature of convex surfaces into spheres
- Flow of nonconvex hypersurfaces into spheres
- Deforming convex hypersurfaces by the \(n\)th root of the Gaussian curvature
- Deforming convex hypersurfaces by the square root of the scalar curvature
- On the parabolic kernel of the Schrödinger operator
- An expansion of convex hypersurfaces
- Contraction of convex hypersurfaces in Riemannian spaces
- Contraction of convex hypersurfaces in Euclidean space
- Motion of hypersurfaces and geometric equations
- Entropy estimates for evolving hypersurfaces
- On Harnack's inequality and entropy for the gaussian curvature flow
- Deforming a hypersurface by its Gauss-Kronecker curvature
- The yamabe flow on locally conformally flat manifolds with positive ricci curvature
- A harnack inequality for parabolic differential equations
This page was built for publication: Harnack inequalities for evolving hypersurfaces
