Julie Clutterbuck

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All published works

Action	Title	Year	Authors
+ PDF Chat	Local spectral optimisation for Robin problems with negative boundary parameter on quadrilaterals	2024	James Larsen-Scott Julie Clutterbuck
+	Preface to the Special Issue: Nonlinear PDEs and geometric analysis – Dedicated to Neil Trudinger on the occasion of his 80th birthday	2023	Julie Clutterbuck Jiakun Liu
+	Local Spectral Optimisation for Robin Problems with Negative Boundary Parameter on Quadrilaterals	2023	Julie Clutterbuck James Larsen-Scott
+ PDF Chat	Ancient solutions for flow by powers of the curvature in $${\mathbb {R}}^2$$	2022	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+ PDF Chat	The Vanishing of the Fundamental Gap of Convex Domains in $$\mathbb {H}^n$$	2021	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+ PDF Chat	Explicit fundamental gap estimates for some convex domains in $\mathbb{H}^2$	2021	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions	2020	Ben Andrews Julie Clutterbuck Daniel Hauer
+	The vanishing of the fundamental gap of convex domains in $\mathbb H^n$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions	2020	Ben Andrews Julie Clutterbuck Daniel Hauer
+	Non-concavity of the Robin ground state	2020	Ben Andrews Julie Clutterbuck Daniel Hauer
+	The vanishing of the fundamental gap of convex domains in $\mathbb H^n$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	Ancient solutions for flow by powers of the curvature in $\mathbb R^2$	2020	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+	Explicit fundamental gap estimates for some convex domains in $\mathbb H^2$	2019	Theodora Bourni Julie Clutterbuck Xuan Hien Nguyen Alina Stancu Guofang Wei Valentina‐Mira Wheeler
+ PDF Chat	The Maximum Flux of Star-Forming Galaxies	2018	Roland M. Crocker Mark R. Krumholz Todd A. Thompson Julie Clutterbuck
+	Non-concavity of Robin eigenfunctions	2017	Ben Andrews Julie Clutterbuck Daniel Hauer
+	A counter-example to log-concavity of the first Robin eigenfunction	2017	Julie Clutterbuck
+ PDF Chat	Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue	2013	Ben Andrews Julie Clutterbuck
+	Time-interior gradient estimates for quasilinear parabolic equations	2013	Ben Andrews Julie Clutterbuck
+	Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable	2013	Ben Andrews Julie Clutterbuck
+	Proof of the fundamental gap conjecture	2011	Ben Andrews Julie Clutterbuck
+ PDF Chat	Stability of mean convex cones under mean curvature flow	2010	Julie Clutterbuck Oliver C. Schnürer
+	Proof of the fundamental gap conjecture	2010	Ben Andrews Julie Clutterbuck
+ PDF Chat	A capillarity problem for compressible liquids	2009	Maria Athanassenas Julie Clutterbuck
+ PDF Chat	Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable	2009	Ben Andrews Julie Clutterbuck
+ PDF Chat	Time-interior gradient estimates for quasilinear parabolic equations	2009	Ben Andrews Julie Clutterbuck
+	Stability of mean convex cones under mean curvature flow	2008	Julie Clutterbuck Oliver C. Schnürer
+ PDF Chat	Stability of translating solutions to mean curvature flow	2007	Julie Clutterbuck Oliver C. Schnürer Felix Schulze
+ PDF Chat	Interior gradient estimates for anisotropic mean-curvature flow	2007	Julie Clutterbuck
+	The Capillarity Problem for Compressible Liquids	2006	Maria Athanassenas Julie Clutterbuck
+	Stability of translating solutions to mean curvature flow	2005	Julie Clutterbuck Oliver C. Schnürer Felix Schulze
+	Interior Gradient Estimates for Anisotropic Mean Curvature Flow	2005	Julie Clutterbuck
+	Parabolic equations with continuous initial data	2005	Julie Clutterbuck
+	Parabolic equations with continuous initial data	2004	Julie Clutterbuck

Common Coauthors

Coauthor	Papers Together
Ben Andrews	11
Theodora Bourni	7
Alina Stancu	7
Guofang Wei	7
Xuan Hien Nguyen	7
Valentina‐Mira Wheeler	7
Oliver C. Schnürer	4
Daniel Hauer	4
James Larsen-Scott	2
Maria Athanassenas	2
Felix Schulze	2
Todd A. Thompson	1
Mark R. Krumholz	1
Jiakun Liu	1
Roland M. Crocker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Interior estimates for hypersurfaces moving by mean curvature	1991	Klaus Ecker Gerhard Huisken	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+	Proof of the fundamental gap conjecture	2011	Ben Andrews Julie Clutterbuck	8
+ PDF Chat	Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials	1989	Mark S. Ashbaugh Rafael D. Benguria	7
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb	7
+ PDF Chat	The eigenvalue gap for one-dimensional convex potentials	1994	Richard Lavine	7
+ PDF Chat	Sharp estimates for mean curvature flow of graphs	2004	Tobias Colding William P. Minicozzi	5
+ PDF Chat	Spectral gaps and rates to equilibrium for diffusions in convex domains.	1996	Robert G. Smits	5
+	On condensation in the free-boson gas and the spectrum of the Laplacian	1983	M. van den Berg	5
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	4
+	Parabolic equations with continuous initial data	2004	Julie Clutterbuck	4
+	Uniqueness results for quasilinear parabolic equations through viscosity solutions' methods	2003	Guy Barles Samuel Biton Mariane Bourgoing Olivier Ley	4
+	An estimate of the gap of the first two eigenvalues in the Schrödinger operator	1985	I. M. Singer Bun Wong Shing‐Tung Yau Stephen S.‐T. Yau	4
+ PDF Chat	On the spectral gap for compact manifolds	1992	Pawel Kröger	3
+ PDF Chat	On the first two eigenvalues of Sturm-Liouville operators	2002	Miklós Horváth	3
+ PDF Chat	A distance comparison principle for evolving curves	1998	Gerhard Huisken	3
+ PDF Chat	A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space	2007	Rafael D. Benguria Helmut Linde	3
+ PDF Chat	Time-interior gradient estimates for quasilinear parabolic equations	2009	Ben Andrews Julie Clutterbuck	3
+	The first initial-boundary value problem for quasilinear second order parabolic equations	1986	Gary M. Lieberman	3
+ PDF Chat	Flow by mean curvature of convex surfaces into spheres	1984	Gerhard Huisken	3
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	3
+	Second Order Parabolic Differential Equations	1996	Gary M. Lieberman	3
+ PDF Chat	Motion of level sets by mean curvature. I	1991	L. C. Evans Joel Spruck	3
+	A counterexample to the convexity property of the first eigenfunction on a convex domain of negative curvature	1989	Ying Shih	3
+ PDF Chat	Mean Curvature Evolution of Entire Graphs	1989	Klaus Ecker Gerhard Huisken	3
+ PDF Chat	Sharp fundamental gap estimate on convex domains of sphere	2019	Shoo Seto Lili Wang Guofang Wei	3
+ PDF Chat	Stability of gradient Kähler-Ricci solitons	2005	Albert Chau Oliver C. Schnürer	3
+	An optimal Poincaré inequality for convex domains	1960	L. E. Payne Hans F. Weinberger	3
+ PDF Chat	Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable	2009	Ben Andrews Julie Clutterbuck	3
+ PDF Chat	Lower bounds of the gap between the first and second eigenvalues of the Schrödinger operator	1986	Qi Yu Jia Qing Zhong	2
+	Minimal surfaces with isolated singularities	1984	Luis Caffarelli Robert Hardt Leon Simon	2
+ PDF Chat	Entire spacelike hypersurfaces of constant Gauß curvature in Minkowski space	2009	Pierre Bayard Oliver C. Schnürer	2
+	Solids Circumscribing Spheres	2006	Tom M. Apostol Mamikon A. Mnatsakanian	2
+	Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate	1990	José F. Escobar	2
+ PDF Chat	Surfaces contracting with speed \|A\|2	2005	Oliver C. Schnürer	2
+	Evolving convex curves	1998	Ben Andrews	2
+	Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations	1970	O. A. Ladyzhenskaya N. N. Uraltseva	2
+	On the Generalization of the Courant Nodal Domain Theorem	2002	Pavel Drábek Stephen B. Robinson	2
+	Estimates for stable hypersurfaces of prescribed F-mean curvature	2005	Sven Winklmann	2
+	On a singular variational integral with linear growth, I: Existence and regularity of minimizers	1987	Josef Bemelmans Ulrich Dierkes	2
+	Eigenvalue problems for the p-Laplacian	2005	An Lê	2
+ PDF Chat	Existence and regularity for the problem of a pendent liquid drop	1980	Eduardo González Umberto Massari Italo Tamanini	2
+	Heat kernel estimates and lower bound of eigenvalues	1981	Shiu‐Yuen Cheng Peter Li	2
+	On the Equations of Capillarity	2001	Robert Finn	2
+	The motion of a surface by its mean curvature	1978	Kenneth A. Brakke	2
+	The problem of dirichlet for quasilinear elliptic differential equations with many independent variables	1969	James Serrin	2
+	Interior gradient estimate for 1-D anisotropic curvature flow	2004	Yuko Nagase Yoshihiro Tonegawa	2
+ PDF Chat	The<i>n</i>-dimensional analogue of the catenary: existence and nonexistence	1990	Ulrich Dierkes Gerhard Huisken	2
+	On the lowest eigenvalue of the Hodge Laplacian on compact, negatively curved domains	2008	Alessandro Savo	2
+ PDF Chat	Stability of translating solutions to mean curvature flow	2007	Julie Clutterbuck Oliver C. Schnürer Felix Schulze	2