Albert Chau

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All published works

Action	Title	Year	Authors
+ PDF Chat	Smoothness up to the free boundary for the $p$-Laplacian evolution equation and the $\alpha$-Gauss curvature flow	2024	Albert Chau Ben Weinkove
+	Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows	2024	Albert Chau Adam Martens
+ PDF Chat	Long-time Ricci flow existence and topological rigidity from manifolds with pinched scale-invariant integral curvature	2024	Albert Chau Adam Martens
+	Non-preservation of α-concavity for the porous medium equation	2024	Albert Chau Ben Weinkove
+	Instantaneous convexity breaking for the quasi-static droplet model	2023	Albert Chau Ben Weinkove
+	Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows	2023	Albert Chau Adam Martens
+	Smooth solutions of degenerate linear parabolic equations and the porous medium equation	2023	Albert Chau Ben Weinkove
+ PDF Chat	Concavity of solutions to semilinear equations in dimension two	2022	Albert Chau Ben Weinkove
+ PDF Chat	The Kähler–Ricci Flow With Log Canonical Singularities	2022	Albert Chau Huabin Ge Ka-Fai Li Liangming Shen
+	Bartnik mass of non-negatively curved CMC spheres and degenerate apparent horizons	2022	Albert Chau Adam Martens
+	Concavity of solutions to semilinear equations in dimension two	2022	Albert Chau Ben Weinkove
+	Instantaneous convexity breaking for the quasi-static droplet model	2022	Albert Chau Ben Weinkove
+ PDF Chat	The Stefan problem and concavity	2021	Albert Chau Ben Weinkove
+	On the Bartnik mass of non-negatively curved CMC spheres	2021	Albert Chau Adam Martens
+ PDF Chat	Strong space-time convexity and the heat equation	2021	Albert Chau Ben Weinkove
+	The Stefan problem and concavity	2020	Albert Chau Ben Weinkove
+	Exterior Schwarzschild initial data for degenerate apparent horizons	2020	Albert Chau Adam Martens
+	Non-preservation of $α$-concavity for the porous medium equation	2020	Albert Chau Ben Weinkove
+ PDF Chat	The Kähler–Ricci flow around complete bounded curvature Kähler metrics	2019	Albert Chau Man-Chun Lee
+	K\"ahler metrics uniformly equivalent to good reference metrics	2019	Albert Chau Man-Chun Lee
+	The K\"ahler Ricci flow around complete bounded curvature K\"ahler metrics	2019	Albert Chau Man-Chun Lee
+	Strong space-time convexity and the heat equation	2019	Albert Chau Ben Weinkove
+	The K"ahler-Ricci flow with Log Canonical Singularities	2019	Albert Chau Huabin Ge Ka-Fai Li Liangming Shen
+	The Kähler Ricci flow around complete bounded curvature Kähler metrics	2019	Albert Chau Man-Chun Lee
+ PDF Chat	Counterexamples to Quasiconcavity for the Heat Equation	2018	Albert Chau Ben Weinkove
+	Kähler–Ricci flow of cusp singularities on quasi projective varieties	2018	Albert Chau Ka-Fai Li Liangming Shen
+	Counterexamples to quasiconcavity for the heat equation	2018	Albert Chau Ben Weinkove
+	Longtime existence of the Kähler-Ricci flow on ℂⁿ	2017	Albert Chau Ka-Fai Li Luen-Fai Tam
+	Kähler-Ricci flow of cusp singularities on quasi projective varieties	2017	Albert Chau Ka-Fai Li Liangming Shen
+ PDF Chat	An existence time estimate for Kähler–Ricci flow	2016	Albert Chau Ka-Fai Li Luen-Fai Tam
+ PDF Chat	Deforming complete Hermitian metrics with unbounded curvature	2016	Albert Chau Ka-Fai Li Luen-Fai Tam
+	An existence time estimate for Kähler-Ricci flow	2015	Albert Chau Ka Fai Li Luen-Fai Tam
+ PDF Chat	Monge-Ampère functionals and the second boundary value problem	2015	Albert Chau Ben Weinkove
+	Longtime existence of the K\"ahler-Ricci flow on $\Bbb C ^n$	2014	Albert Chau Ka-Fai Li Luen-Fai Tam
+	Deforming complete Hermitian metrics with unbounded curvature	2014	Albert Chau Ka-Fai Li Luen-Fai Tam
+	Monge Ampère functionals and the second boundary value problem	2014	Albert Chau Ben Weinkove
+	Longtime existence of the Kähler-Ricci flow on $\Bbb C ^n$	2014	Albert Chau Ka-Fai Li Luen-Fai Tam
+ PDF Chat	Kähler C-spaces and quadratic bisectional curvature	2013	Albert Chau Luen-Fai Tam
+ PDF Chat	Lagrangian mean curvature flow for entire Lipschitz graphs II	2013	Albert Chau Jingyi Chen Yu Yuan
+ PDF Chat	On quadratic orthogonal bisectional curvature	2012	Albert Chau Luen-Fai Tam
+	Kähler C-spaces and quadratic bisectional curvature	2012	Albert Chau Luen-Fai Tam
+ PDF Chat	On the simply connectedness of nonnegatively curved Kähler manifolds and applications	2011	Albert Chau Luen-Fai Tam
+ PDF Chat	Rigidity of entire self-shrinking solutions to curvature flows	2011	Albert Chau Jingyi Chen Yu Yuan
+ PDF Chat	Lagrangian mean curvature flow for entire Lipschitz graphs	2011	Albert Chau Jingyi Chen Weiyong He
+	A note on harmonic forms and the boundary of the Kähler cone	2011	Albert Chau Luen-Fai Tam
+	On quadratic orthogonal bisectional curvature	2011	Albert Chau Luen-Fai Tam
+	Lagrangian Mean Curvature flow for entire Lipschitz graphs II	2011	Albert Chau Jingyi Chen Yu Yuan
+ PDF Chat	Pseudolocality for the Ricci Flow and Applications	2010	Albert Chau Luen-Fai Tam Chengjie Yu
+ PDF Chat	On a modified parabolic complex Monge–Ampère equation with applications	2010	Albert Chau Luen-Fai Tam
+	Rigidity of Entire self-shrinking solutions to curvature flows	2010	Albert Chau Jingyi Chen Yu Yuan
+ PDF Chat	A <i>C</i><sup>0</sup>-estimate for the parabolic Monge–Ampère equation on complete non-compact Kähler manifolds	2009	Albert Chau Luen-Fai Tam
+	On a modified parabolic complex Monge-Ampère equation with applications	2009	Albert Chau Luen-Fai Tam
+	Lagrangian Mean Curvature flow for entire Lipschitz graphs	2009	Albert Chau Jingyi Chen Weiyong He
+	Entire self-similar solutions to Lagrangian Mean curvature flow	2009	Albert Chau Jingyi Chen Weiyong He
+	On the simply connectedness of non-negatively curved Kähler manifolds and applications	2008	Albert Chau Luen-Fai Tam
+	A survey on the K	2007	Albert Chau Luen-Fai Tam
+	Pseudolocality for the Ricci flow and applications	2007	Albert Chau Luen-Fai Tam Chengjie Yu
+ PDF Chat	Non-negatively curved Kähler manifolds with average quadratic curvature decay	2007	Albert Chau Luen-Fai Tam
+	A survey on the Kähler-Ricci flow and Yau's uniformization conjecture	2007	Albert Chau Luen-Fai Tam
+ PDF Chat	On the Complex Structure of Kähler Manifolds with Nonnegative Curvature	2006	Albert Chau Luen-Fai Tam
+	On the Steinness of a class of Kähler manifolds	2006	Albert Chau Luen-Fai Tam
+	Gradient Kähler-Ricci solitons and complex dynamical systems	2006	Albert Chau Luen-Fai Tam
+	On the complex structure of K\"ahler manifolds with nonnegative curvature	2005	Albert Chau Luen-Fai Tam
+ PDF Chat	A note on the uniformization of gradient Kähler Ricci solitons	2005	Albert Chau Luen-Fai Tam
+ PDF Chat	Stability of gradient Kähler-Ricci solitons	2005	Albert Chau Oliver C. Schnürer
+	Non-negatively curved Kähler manifolds with average quadratic curvature decay	2005	Albert Chau Luen-Fai Tam
+	On the complex structure of Kähler manifolds with nonnegative curvature	2005	Albert Chau Luen-Fai Tam
+	Stability of the Kähler-Ricci flow at complete non-compact Kähler Einstein metrics	2005	Albert Chau
+	Complex manifolds with certain families of biholomorphisms	2004	Albert Chau Luen-Fai Tam
+ PDF Chat	CONVERGENCE OF THE KÄHLER-RICCI FLOW ON NONCOMPACT KÄHLER MANIFOLDS	2004	Albert Chau
+	A note on the uniformization of gradient Kähler-Ricci solitons	2004	Albert Chau Luen-Fai Tam
+	Stability of gradient Kaehler-Ricci solitons	2003	Albert Chau Oliver C. Schnuerer
+	Gradient Kähler-Ricci solitons and a uniformization conjecture	2003	Albert Chau Luen-Fai Tam

Common Coauthors

Coauthor	Papers Together
Luen-Fai Tam	32
Ben Weinkove	16
Jingyi Chen	7
Adam Martens	6
Ka-Fai Li	6
Liangming Shen	4
Yu Yuan	4
Weiyong He	3
Man-Chun Lee	2
Huabin Ge	2
Chengjie Yu	2
Ka-Fai Li	2
Ka-Fai Li	1
Oliver C. Schnürer	1
Oliver C. Schnuerer	1
Man-Chun Lee	1
Ka Fai Li	1
Ka-Fai Li	1
Man-Chun Lee	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Three-manifolds with positive Ricci curvature	1982	Richard S. Hamilton	13
+ PDF Chat	Ricci deformation of the metric on complete noncompact Riemannian manifolds	1989	Wan-Xiong Shi	13
+ PDF Chat	Ricci flow and the uniformization on complete noncompact Kähler manifolds	1997	Wan-Xiong Shi	12
+ PDF Chat	Complete Kähler manifolds with zero Ricci curvature. I	1990	Gang Tian Shing-Tung Yau	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	9
+ PDF Chat	Plurisubharmonic Functions and the Structure of Complete Kähler Manifolds with Nonnegative Curvature	2003	Lei Ni Luen-Fai Tam	9
+	A Compactness Property for Solutions of the Ricci Flow	1995	Richard S. Hamilton	9
+ PDF Chat	Brownian motion in a convex ring and quasi-concavity	1982	Christer Borell	8
+ PDF Chat	Interior estimates for hypersurfaces moving by mean curvature	1991	Klaus Ecker Gerhard Huisken	8
+ PDF Chat	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds	1982	Jeff Cheeger M. Gromov Michael E. Taylor	8
+	Is quasi-concavity preserved by heat flow?	2008	Kazuhiro Ishige Paolo Salani	7
+	On the ricci curvature of a compact kähler manifold and the complex monge‐ampére equation, I	1978	Shing‐Tung Yau	7
+ PDF Chat	Pseudoconvexity and the problem of Levi	1978	Yum-Tong Siu	6
+ PDF Chat	Deforming the metric on complete Riemannian manifolds	1989	Wan-Xiong Shi	6
+ PDF Chat	Mean Curvature Evolution of Entire Graphs	1989	Klaus Ecker Gerhard Huisken	6
+	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	6
+ PDF Chat	Volume Growth and Curvature Decay of Positively Curved Kahler Manifolds	2005	Bing-Long Chen Xi-Ping Zhu	6
+	Projective Manifolds with Ample Tangent Bundles	1979	Шигефуми Мори	6
+	On Convexity and Starshapedness of Level Sets for Some Nonlinear Elliptic and Parabolic Problems on Convex Rings	1993	Jesús Ildefonso Díaz Díaz Bernd Kawohl	6
+ PDF Chat	Parabolic quasi‐concavity for solutions to parabolic problems in convex rings	2010	Kazuhiro Ishige Paolo Salani	6
+	A microscopic convexity principle for spacetime convex solutions of fully nonlinear parabolic equations	2012	Chuan Qiang Chen Bo Hu	6
+ PDF Chat	Stability of hyperbolic space under Ricci flow	2011	Oliver C. Schnürer Felix Schulze Miles Simon	5
+	Convex viscosity solutions and state constraints	1997	Olivier Alvarez Jean Michel Lasry Pierre‐Louis Lions	5
+	Longtime existence of the Lagrangian mean curvature flow	2004	Knut Smoczyk	5
+ PDF Chat	Rearrangements and Convexity of Level Sets in PDE	1985	Bernhard Kawohl	5
+	Classical solutions of fully nonlinear, convex, second‐order elliptic equations	1982	Lawrence C. Evans	5
+ PDF Chat	Counterexamples to Quasiconcavity for the Heat Equation	2018	Albert Chau Ben Weinkove	5
+ PDF Chat	Deformation of $C^0$ Riemannian metrics in the direction of their Ricci curvature	2002	Miles Simon	5
+ PDF Chat	On a new kind of convexity for solutions of parabolic problems	2010	Kazuhiro Ishige Paolo Salani	5
+ PDF Chat	Stability of Euclidean space under Ricci flow	2008	Oliver C. Schnürer Felix Schulze Miles Simon	5
+	Convexity properties of solutions to some classical variational problems	1982	Luis Caffarelli Joel Spruck	5
+ PDF Chat	A note on the uniformization of gradient Kähler Ricci solitons	2005	Albert Chau Luen-Fai Tam	5
+	On Complete Open Manifolds of Positive Curvature	1969	Detlef Gromoll Wolfgang Meyer	5
+ PDF Chat	Complete noncompact Kähler manifolds with positive holomorphic bisectional curvature	1990	Wan-Xiong Shi	5
+ PDF Chat	Poisson Equation, Poincaré-Lelong Equation and Curvature Decay on Complete Kähler Manifolds	2001	Lei Ni Yuguang Shi Luen-Fai Tam	4
+ PDF Chat	Lp and mean value properties of subharmonic functions on Riemannian manifolds	1984	Peter Li Richard Schoen	4
+ PDF Chat	Ricci flow on quasi-projective manifolds	2010	John Lott Zhou Zhang	4
+	Existence and degeneration of K�hler-Einstein metrics on minimal algebraic varieties of general type	1988	Hajime Tsuji	4
+	On the Kähler-Ricci Flow on Projective Manifolds of General Type	2006	Gang Tian Zhou Zhang	4
+ PDF Chat	Uniqueness of the Ricci flow on complete noncompact manifolds	2006	Bing-Long Chen Xi-Ping Zhu	4
+	A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions	1957	R. M. Gabriel	4
+	A Defect Relation for Equidimensional Holomorphic Mappings Between Algebraic Varieties	1972	James A. Carlson Phillip Griffiths	4
+	All time C∞-regularity of the interface in degenerate diffusion: a geometric approach	2001	P. Daskalopoulos Robert Hamilton Kwangjin Lee	4
+	Uniqueness of viscosity solutions of a geometric fully nonlinear parabolic equation	2009	Jingyi Chen Chao Pang	4
+ PDF Chat	A maximum principle for sums of subharmonic functions, and the convexity of level sets.	1989	Jean-Pierre Rosay Walter Rudin	4
+ PDF Chat	CONVERGENCE OF THE KÄHLER-RICCI FLOW ON NONCOMPACT KÄHLER MANIFOLDS	2004	Albert Chau	4
+ PDF Chat	A Uniformization Theorem For Complete Non-compact Kähler Surfaces With Positive Bisectional Curvature	2004	Bing-Long Chen Siu-Hung Tang Xi-Ping Zhu	4
+	Convex solutions of certain elliptic equations have constant rank hessians	1987	Nicholas J. Korevaar John L. Lewis	4
+ PDF Chat	Interior derivative estimates for the Kähler–Ricci flow	2012	Morgan Sherman Ben Weinkove	4