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Complexity of parabolic systems (Q827015)

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Language	Label	Description	Also known as
English	Complexity of parabolic systems	scientific article

Statements

scholarly article

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Complexity of parabolic systems (English)

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zbMATH Open document ID

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10.1007/s10240-020-00117-x

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Tobias Holck Colding

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William P. II. Minicozzi

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Publications Mathématiques

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publication date

6 January 2021

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full work available at URL

https://arxiv.org/abs/1903.03499

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

ancient mean curvature flow

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spectral counting function

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entropy

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Gaussian space

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shrinkers

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MaRDI profile type

MaRDI publication profile

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The normalized curve shortening flow and homothetic solutions

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\(\mathcal{F}\)-stability for self-shrinking solutions to mean curvature flow

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Uniqueness of two-convex closed ancient solutions to the mean curvature flow

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Self-shrinkers for the mean curvature flow in arbitrary codimension

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A sharp lower bound for the entropy of closed hypersurfaces up to dimension six

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Topology of closed hypersurfaces of small entropy

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A topological property of asymptotically conical self-shrinkers of small entropy

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Embedded self-similar shrinkers of genus 0

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Uniqueness of convex ancient solutions to mean curvature flow in \({\mathbb {R}}^3\)

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Minimal immersions of surfaces in Euclidean spheres

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Bounding dimension of ambient space by density for mean curvature flow

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Eigenfunctions and nodal sets

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Heat Equations on Minimal Submanifolds and Their Applications

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Eigenvalues of the drifted Laplacian on complete metric measure spaces

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Ancient low-entropy flows, mean-convex neighborhoods, and uniqueness

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Ancient asymptotically cylindrical flows and applications

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Rigidity of generic singularities of mean curvature flow

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The round sphere minimizes entropy among closed self-shrinkers

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Harmonic functions with polynomial growth

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Harmonic functions on manifolds

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Weyl type bounds for harmonic functions

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Liouville theorems for harmonic sections and applications

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Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman

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Generic mean curvature flow. I: Generic singularities

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Uniqueness of blowups and Łojasiewicz inequalities

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In Search of Stable Geometric Structures

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Optimal bounds for ancient caloric functions

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Liouville properties

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Minimal immersions of spheres into spheres

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Regularity theory for mean curvature flow

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Partial regularity at the first singular time for hypersurfaces evolving by mean curvature

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Logarithmic Sobolev inequalities on submanifolds of Euclidean space

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Immersions minimales, première valeur propre du laplacien et volume conforme. (Minimal immersions, first eigenvalue of the Laplacian and conformal volume)

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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow

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Uniqueness of the bowl soliton

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Ancient solutions of the mean curvature flow

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Translators asymptotic to cylinders

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Sharp entropy bounds for self-shrinkers in mean curvature flow

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Asymptotic behavior for singularities of the mean curvature flow

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On the Yang-Yau inequality for the first Laplace eigenvalue

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Entropy of closed surfaces and min-max theory

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Upper bounds for eigenvalues of conformal metrics

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The stability of self-shrinkers of mean curvature flow in higher co-dimension

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On Ancient Solutions of the Heat Equation

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Lectures on mean curvature flows in higher codimensions

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Stable minimal surfaces in Euclidean space

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A local regularity theorem for mean curvature flow

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The size of the singular set in mean curvature flow of mean-convex sets

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On the entropy of closed hypersurfaces and singular self-shrinkers

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Mathematics(1 entry)

mardi Publication:827015

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