Cover Image

Non-preservation of concavity properties by the Dirichlet heat flow on Riemannian manifolds

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ishige, Kazuhiro, Takatsu, Asuka, Tokunaga, Haruto
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs Differential Geometry 35E10, 58J35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Riemannian starshape and capacitary problems
by: Ishige, Kazuhiro, et al.
Published: (2024)

Sharp Sobolev inequalities on noncompact Riemannian manifolds with bounded Ricci curvature
by: Morpurgo, Carlo, et al.
Published: (2026)

Sharp Sobolev and Moser-Trudinger inequalities on noncompact Riemannian manifolds with Ricci curvature bounded below
by: Morpurgo, Carlo, et al.
Published: (2026)

Convergence stability for Ricci flow on manifolds with bounded geometry
by: Bahuaud, Eric, et al.
Published: (2023)

Linear and nonlinear stability for the Bach flow, I
by: Bahuaud, Eric, et al.
Published: (2025)

Gradient estimation of a generalized non-linear heat type equation along Super-Perelman Ricci flow on weighted Riemannian manifolds
by: Li, Yanlin, et al.
Published: (2024)

Multiplicity of solutions for Gross-Pitaevskii equations on Riemannian manifolds
by: Corona, Dario, et al.
Published: (2025)

A note on Poincaré-Sobolev type inequalities on compact manifolds
by: Gicquaud, Romain
Published: (2025)

Finite extinction time for subsolutions of the weighted Leibenson equation on Riemannian manifolds
by: Sürig, Philipp
Published: (2024)

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds
by: Sürig, Philipp
Published: (2026)

Sharp long distance upper bounds for solutions of Leibenson's equation on Riemannian manifolds
by: Grigor'yan, Alexander, et al.
Published: (2026)

A Geometric flow towards hamiltonian stationary submanifolds
by: Chen, Jingyi, et al.
Published: (2024)

Modified mean curvature flow of graphs in Riemannian manifolds
by: de Oliveira, Jocel Faustino Norberto, et al.
Published: (2026)

Gradient estimates and Liouville theorems for the \(Φ\)-Laplacian equations on Riemannian manifolds
by: Wang, Yu-Zhao, et al.
Published: (2026)

Remarks on Hessian quotient equations on Riemannian manifolds
by: Sroka, Marcin
Published: (2025)

Non-uniqueness in Mean Curvature Flow: Non-canonical solutions via the parabolic Allen--Cahn
by: Daniels-Holgate, J. M.
Published: (2025)

Bernstein type gradient estimate for system of weighted local heat equations with potential term
by: Bhattacharyya, Sujit
Published: (2026)

Quantitative estimates for the relative isoperimetric problem and its gradient flow outside convex bodies in the plane
by: Mäder-Baumdicker, Elena, et al.
Published: (2025)

Conservation law of harmonic mappings in supercritical dimensions
by: Guo, Chang-Yu, et al.
Published: (2023)

Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space
by: Wei, Guofang, et al.
Published: (2025)

Liouville theorems and gradient estimates of a nonlinear elliptic equation for the V-Laplacian
by: Jia, Yike
Published: (2026)

Existence results for Leibenson's equation on Riemannian manifolds
by: Sürig, Philipp
Published: (2026)

Fully nonlinear parabolic equations of real forms on Hermitian manifolds
by: George, Mathew, et al.
Published: (2024)

Constructing entire minimal graphs by evolving planes
by: Tsai, Chung-Jun, et al.
Published: (2025)

A Calderón's problem for harmonic maps
by: Muñoz-Thon, Sebastián
Published: (2024)

Energy identity for Ginzburg-Landau approximation of harmonic maps
by: Li, Xuanyu
Published: (2025)

Vectorial Kato inequality for $p$-harmonic maps with optimal constant
by: Gastel, Andreas, et al.
Published: (2025)

A locally constrained inverse Hessian quotient flow in de Sitter space
by: Ma, Kuicheng
Published: (2025)

Uniform estimates for a family of Poisson problems: `rounding off the corners'
by: Daniel, Benoît, et al.
Published: (2024)

Global eigenfamilies on closed manifolds
by: Riedler, Oskar, et al.
Published: (2024)

A quantitative second order estimate for (weighted) $p$-harmonic functions in manifolds under curvature-dimension condition
by: Liu, Jiayin, et al.
Published: (2021)

Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel
by: Fefferman, Charles, et al.
Published: (2021)

Relative heat content asymptotics for sub-Riemannian manifolds
by: Agrachev, Andrei, et al.
Published: (2021)

Finite-energy solutions to Einstein-scalar field Lichnerowicz equations on complete Riemannian manifolds
by: Bieganowski, Bartosz, et al.
Published: (2026)

Complex Monge-Ampère equation for positive $(p,p)$-forms on compact Kähler manifolds
by: George, Mathew
Published: (2024)

Spaces of distributions with Sobolev wave front in a fixed conic set: compactness, pullback by smooth maps and the compensated compactness theorem
by: Pilipović, Stevan, et al.
Published: (2024)

The heat trace for domains with curved corners
by: Looi, Sam, et al.
Published: (2025)

On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting
by: Ahmedou, Mohameden, et al.
Published: (2024)

Foliation of an asymptotically flat end by critical capacitors
by: Fall, Mouhammed Moustapha, et al.
Published: (2020)

$L^p$-Hodge Decomposition with Sobolev classes in Sub-Riemannian Contact Manifolds
by: Baldi, Annalisa, et al.
Published: (2025)