Curve shortening flow on Riemann surfaces with conical singularities

Degenerate parabolic equations (35K65) Functional calculus for linear operators (47A60) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01) Quasilinear parabolic equations with mean curvature operator (35K93) Sectorial operators (47B12) Flows related to mean curvature (53E10)

Cites Work

Lecture notes on mean curvature flow
The resolvent expansion for second order regular singular operators
The Ricci flow in Riemannian geometry. A complete proof of the differentiable 1/4-pinching sphere theorem
Spectral geometry of singular Riemannian spaces
Motion of level sets by mean curvature. I
On the formation of singularities in the curve shortening flow
Resolvents of elliptic cone operators
Dynamic theory of quasilinear parabolic systems. III: Global existence
The Morse-Smale property for a semilinear parabolic equation
Calibrated geometries
Les surfaces euclidiennes à singularités coniques. (Euclidean surfaces with cone singularities)
The heat equation shrinking convex plane curves
Four-manifolds with positive curvature operator
The heat equation shrinks embedded plane curves to round points
The shape of a figure-eight under the curve shortening flow
Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
Highly degenerate parabolic boundary value problems
The expansion of the resolvent near a singular stratum of conical type
Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
A singular quasilinear parabolic problem in one space dimension
Prescribing curvature on open surfaces
Sommes d'opérateurs linéaires et équations différentielles opérationnelles
Shortening embedded curves
A distance comparison principle for evolving curves
Global regularity of solution for general degenerate parabolic equations in 1-D
Evolving graphs by singular weighted curvature
Bounded imaginary powers of differential operators on manifolds with conical singularities
Legendrian curve shortening flow in \(\mathbb{R}^3\)
Polar coordinates on singular Riemannian surfaces
On the closedness of the sum of two closed operators
Bounded \(H_\infty\)-calculus for cone differential operators
Lagrangian mean curvature flow with boundary
Bounded imaginary powers of cone differential operators on higher order Mellin-Sobolev spaces and applications to the Cahn-Hilliard equation
The functional calculus for sectorial operators
Vollständige konforme Metriken und isolierte Singularitäten subharmonischer Funktionen
On a class of conformal metrics, with application to differential geometry in the large
Un'applicazione della teoria degli integrali singolari allo studio delle equazioni differenziali lineari astratte del primo ordine
Lagrangian mean curvature flow of Whitney spheres
Mean curvature flow of monotone Lagrangian submanifolds
Curve shortening flow on Riemann surfaces with possible ambient conic singularities
Moving Interfaces and Quasilinear Parabolic Evolution Equations
Analysis in Banach Spaces
Existence and maximalL^p-regularity of solutions for the porous medium equation on manifolds with conical singularities
The Cahn-Hilliard Equation and the Allen-Cahn Equation on Manifolds with Conical Singularities
Mean Curvature Flow in Higher Codimension: Introduction and Survey
Riemannian Surfaces with Simple Singularities
Curve shortening on surfaces
Prescribing Curvature on Compact Surfaces with Conical Singularities
Resolvents of Elliptic Boundary Problems on Conic Manifolds
Geometry and Spectra of Closed Extensions of Elliptic Cone Operators
The zero set of a solution of a parabolic equation.
Point Singularities and Conformal Metrics on Riemann Surfaces
An Index Theorem for First Order Regular Singular Operators
On the spectral geometry of spaces with cone-like singularities
Differential operators of Fuchs type, conical singularities, and asymptotic methods
ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities
Adjoints of elliptic cone operators
The Resolvent of Closed Extensions of Cone Differential Operators
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
The \(H^\infty\)-calculus and sums of closed operators
Generalized solutions of degenerate second-order quasilinear parabolic and elliptic equations
Singularities of equivariant Lagrangian mean curvature flow
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)
Title not available (Why is that?)

This page was built for publication: Curve shortening flow on Riemann surfaces with conical singularities

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6624791)