Qi S. Zhang

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All published works

Action	Title	Year	Authors
+ PDF Chat	A rigidity result for ancient Ricci flows	2024	Qi S. Zhang
+ PDF Chat	Finite speed axially symmetric Navier-Stokes flows passing a cone	2024	Zijin Li Xinghong Pan Xin Yang Chulan Zeng Qi S. Zhang Na Zhao
+ PDF Chat	Time Analyticity for Nonlocal Parabolic Equations	2023	Hongjie Dong Chulan Zeng Qi S. Zhang
+	Matrix Li-Yau-Hamilton estimates under Ricci Flow and parabolic frequency	2023	Xiaolong Li Qi S. Zhang
+	A blow up solution of the Navier-Stokes equations with a super critical forcing term	2023	Qi S. Zhang
+	A Sharp Li-Yau gradient bound on Compact Manifolds	2021	Qi S. Zhang
+	Correction to the article Local estimates on two linear parabolic equations with singular coefficients	2021	Qi S. Zhang
+ PDF Chat	Gradient and Eigenvalue Estimates on the Canonical Bundle of Kähler Manifolds	2021	Zhiqin Lu Qi S. Zhang Meng Zhu
+ PDF Chat	Liouville type theorems for axially symmetric Navier-Stokes equations	2021	Zhen Lei Xiao Ren Qi S. Zhang
+	A Sharp Li-Yau gradient bound on Compact Manifolds	2021	Qi S. Zhang
+	Time analyticity for nonlocal parabolic equations	2021	Hongjie Dong Chulan Zeng Qi S. Zhang
+	Bounded solutions to the axially symmetric Navier Stokes equation in a cusp region	2021	Qi S. Zhang
+ PDF Chat	Decay and Vanishing of some D-Solutions of the Navier–Stokes Equations	2020	Bryan Carrillo Xinghong Pan Qi S. Zhang Na Zhao
+ PDF Chat	Time analyticity for the heat equation and Navier-Stokes equations	2020	Hongjie Dong Qi S. Zhang
+	Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations	2020	Bryan Carrillo Xinghong Pan Qi S. Zhang
+	A formula for backward and control problems of the heat equation	2020	Qi S. Zhang
+	Gradient and Eigenvalue Estimates on the canonical bundle of Kähler manifolds	2020	Zhiqin Lu Qi S. Zhang Meng Zhu
+	A note on convergence of noncompact nonsingular solutions of the Ricci flow	2020	Qi S. Zhang
+	A note on time analyticity for ancient solutions of the heat equation	2019	Qi S. Zhang
+	New volume comparison results and applications to degeneration of Riemannian metrics	2019	Qi S. Zhang Meng Zhu
+	Local estimates on two linear parabolic equations with singular coefficients	2019	Qi S. Zhang
+	A note on time analyticity for ancient solutions of the heat equation	2019	Qi S. Zhang
+	An obstruction to prescribing positive scalar curvature on complete manifolds with Ricci ≥ 0	2019	Qi S. Zhang
+ PDF Chat	Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature—Part II	2019	Richard H. Bamler Qi S. Zhang
+	Time analyticity for the heat equation and Navier-Stokes equations	2019	Hongjie Dong Qi S. Zhang
+	Local estimates on two linear parabolic equations with singular coefficients	2019	Qi S. Zhang
+	A note on time analyticity for ancient solutions of the heat equation	2019	Qi S. Zhang
+	Decay and vanishing of some D-solutions of the Navier-Stokes equations	2018	Bryan Carrillo Xinghong Pan Qi S. Zhang Na Zhao
+ PDF Chat	Bounds on Harmonic Radius and Limits of Manifolds with Bounded Bakry–Émery Ricci Curvature	2018	Qi S. Zhang Meng Zhu
+	Li–Yau gradient bounds on compact manifolds under nearly optimal curvature conditions	2018	Qi S. Zhang Meng Zhu
+	Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations	2018	Bryan Carrillo Xinghong Pan Qi S. Zhang
+ PDF Chat	Minimizers of the sharp Log entropy on manifolds with non-negative Ricci curvature and flatness	2018	Qi S. Zhang
+	Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature	2017	Richard H. Bamler Qi S. Zhang
+	Minimizers of the sharp Log entropy on manifolds with non-negative Ricci curvature and flatness	2017	Qi S. Zhang
+	Bounds on harmonic radius and limits of manifolds with bounded Bakry-Émery Ricci curvature	2017	Qi S. Zhang Meng Zhu
+	Minimizers of the sharp Log entropy on manifolds with non-negative Ricci curvature and flatness	2017	Qi S. Zhang
+	New Volume Comparison results and Applications to degeneration of Riemannian metrics	2016	Qi S. Zhang Meng Zhu
+	Li-Yau gradient bound for collapsing manifolds under integral curvature condition	2016	Qi S. Zhang Meng Zhu
+	Li-Yau gradient bounds under nearly optimal curvature conditions	2015	Qi S. Zhang Meng Zhu
+	Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature	2015	Richard H. Bamler Qi S. Zhang
+	Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions	2015	Qi S. Zhang Meng Zhu
+	Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature	2015	Richard H. Bamler Qi S. Zhang
+	Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II	2015	Richard H. Bamler Qi S. Zhang
+ PDF Chat	A compactness result for Fano manifolds and Kähler Ricci flows	2014	Gang Tian Qi S. Zhang
+ PDF Chat	Isoperimetric inequality under Kähler Ricci flow	2014	Gang Tian Qi S. Zhang
+	A compactness result for Fano manifolds and Kähler Ricci flows	2014	Gang Tian Qi S. Zhang
+ PDF Chat	A no breathers theorem for some noncompact Ricci flows	2014	Qi S. Zhang
+ PDF Chat	On the question of diameter bounds in Ricci flow	2014	Qi S. Zhang
+	On the question of diameter bounds in Ricci flow	2013	Qi S. Zhang
+ PDF Chat	An example of large global smooth solution of 3 dimensional Navier-Stokes equations without pressure	2013	Qi S. Zhang
+	On the distance control problem in Ricci flows	2013	Gang Tian Qi S. Zhang
+	On the question of diameter bounds in Ricci flow	2013	Qi S. Zhang
+	Extremal of Log Sobolev inequality and W entropy on noncompact manifolds	2012	Qi S. Zhang
+	An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations	2012	Qing Han Qi S. Zhang
+	Isoperimetric inequality under Kähler Ricci flow	2012	Gang Tian Qi S. Zhang
+ PDF Chat	Bounds on volume growth of geodesic balls under Ricci flow	2012	Qi S. Zhang
+	No breathers theorem for some noncompact Ricci flows	2012	Qi S. Zhang
+	Bounds on volume growth of geodesic balls under Ricci flow	2011	Qi S. Zhang
+	Extremal of Log Sobolev inequality and $W$ entropy on noncompact manifolds	2011	Qi S. Zhang
+	Extremal of Log Sobolev inequality and $W$ entropy on noncompact manifolds	2011	Qi S. Zhang
+	Bounds on volume growth of geodesic balls under Ricci flow	2011	Qi S. Zhang
+ PDF Chat	WHEN DOES A SCHRÖDINGER HEAT EQUATION PERMIT POSITIVE SOLUTIONS	2010	Qi S. Zhang
+	Heat kernel bounds, ancient κ solutions and the Poincaré conjecture	2009	Qi S. Zhang
+	Solvability conditions for some semi-linear parabolic equations	2009	J. Wrkich Qi S. Zhang
+	Heat kernel bounds, ancient $\kappa$ solutions and the Poincar\'e conjecture	2008	Qi S. Zhang
+ PDF Chat	A uniform Sobolev inequality for Ricci flow with surgeries and applications	2008	Qi S. Zhang
+	Heat kernel bounds, ancient $κ$ solutions and the Poincaré conjecture	2008	Qi S. Zhang
+	A uniform Sobolev inequality under Ricci flow	2007	Qi S. Zhang
+	Strong non-collapsing and uniform Sobolev inequalities for Ricci flow with surgeries	2007	Qi S. Zhang
+ PDF Chat	SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS	2006	Philippe Souplet Qi S. Zhang
+	Global solutions of inhomogeneous Hamilton-Jacobi equations	2006	Philippe Souplet Qi S. Zhang
+	When does a Schrödinger heat equation permit positive solutions	2006	Qi S. Zhang
+	Sharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds	2005	Philippe Souplet Qi S. Zhang
+	Extra regularity for parabolic equations with drift terms	2004	Vitali Liskevich Qi S. Zhang
+ PDF Chat	Positive solutions to Δu - Vu + Wu<sup>p</sup>= 0 and its parabolic counterpart in noncompact manifolds	2004	Qi S. Zhang
+ PDF Chat	Global solutions of Navier-Stokes equations with large $L^2$ norms in a new function space	2004	Qi S. Zhang
+	A Strong Regularity Result for Parabolic Equations	2004	Qi S. Zhang
+	A SHARP COMPARISON RESULT CONCERNING SCHRÖDINGER HEAT KERNELS	2003	Qi S. Zhang
+	The global behavior of heat kernels in exterior domains	2003	Qi S. Zhang
+	A Kazden-Warner type condition and heat kernel estimates on noncompact manifolds	2003	Qi S. Zhang
+ PDF Chat	Refined gradient bounds, Poisson equations and some applications to open Kähler manifolds	2003	Bun Wong Qi S. Zhang
+	A critical behavior for some semilinear parabolic equations involving sign changing solutions	2002	Qi S. Zhang
+ PDF Chat	Linear parabolic equations with strong singular potentials	2002	Jerome A. Goldstein Qi S. Zhang
+	The Boundary Behavior of Heat Kernels of Dirichlet Laplacians	2002	Qi S. Zhang
+ PDF Chat	Stability for semilinear parabolic equations with decaying potentials in $ ℝ^{N} $ and dynamical approach to the existence of ground states	2002	Philippe Souplet Qi S. Zhang
+	On a Degenerate Heat Equation with a Singular Potential	2001	Jerome A. Goldstein Qi S. Zhang
+	A blow-up result for a nonlinear wave equation with damping: The critical case	2001	Qi S. Zhang
+	Global Bounds of Schrödinger Heat Kernels with Negative Potentials	2001	Qi S. Zhang
+	A general blow-up result on nonlinear boundary-value problems on exterior domains	2001	Qi S. Zhang
+	Existence of ground states for semilinear elliptic equations with decaying mass: a parabolic approach	2001	Philippe Souplet Qi S. Zhang
+	The Quantizing Effect of Potentials on the Critical Number of Reaction–Diffusion Equations	2001	Qi S. Zhang
+	Critical Exponents of Fujita Type for Inhomogeneous Parabolic Equations and Systems	2000	Catherine Bandle Howard A. Levine Qi S. Zhang
+ PDF Chat	Estimates of global bounds for some Schrödinger heat kernels on manifolds	2000	Qi S. Zhang Zhengyang Zhao
+	Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem	2000	Qi S. Zhang
+	An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci $\ge 0$	2000	Qi S. Zhang
+	Large Time Behavior of¶Schrödinger Heat Kernels and Applications	2000	Qi S. Zhang
+	None	2000	Qi S. Zhang
+	Blow-up results for nonlinear parabolic equations on manifolds	1999	Qi S. Zhang
+	A Priori Estimates and the Representation Formula for All Positive Solutions to a Semilinear Parabolic Problem	1999	Qi S. Zhang
+	Blow Up and Global Existence of Solutions to an Inhomogeneous Parabolic System	1998	Qi S. Zhang
+	The critical exponent of a reaction diffusion equation on some lie groups	1998	Qi S. Zhang
+	Singular solutions of semilinear elliptic and parabolic equations	1998	Qi S. Zhang Zhengyang Zhao
+	A New Critical Phenomenon for Semilinear Parabolic Problems	1998	Qi S. Zhang
+ PDF Chat	Global asymptotic behavior of solutions of a semilinear parabolic equation	1998	Qi S. Zhang Zhengyang Zhao
+	Gaussian bounds for the fundamental solutions of ▽(A▽u) + B▽u − ut = 0	1997	Qi S. Zhang

Common Coauthors

Coauthor	Papers Together
Meng Zhu	10
Gang Tian	5
Richard H. Bamler	5
Philippe Souplet	5
Hongjie Dong	4
Xinghong Pan	4
Bryan Carrillo	4
Zhengyang Zhao	3
Chulan Zeng	3
Na Zhao	3
Jerome A. Goldstein	2
Zhiqin Lu	2
Zijin Li	1
Vitali Liskevich	1
Xiaolong Li	1
Xinghong Pan	1
Xin Yang	1
Qing Han	1
Zhen Lei	1
Howard A. Levine	1
Bun Wong	1
Xiao Ren	1
J. Wrkich	1
Catherine Bandle	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the parabolic kernel of the Schrödinger operator	1986	Peter Li Shing Tung Yau	26
+	Non-negative solutions of linear parabolic equations	1968	D. G. Aronson	18
+	The entropy formula for the Ricci flow and its geometric applications	2002	Grisha Perelman	16
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	15
+ PDF Chat	The Role of Critical Exponents in Blowup Theorems	1990	Howard A. Levine	14
+ PDF Chat	Uniformly elliptic operators on Riemannian manifolds	1992	Laurent Saloff‐Coste	11
+	None	1992	Laurent Saloff‐Coste	9
+ PDF Chat	Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications	2012	Tobias Colding Aaron Naber	8
+	On the critical exponent for reaction-diffusion equations	1990	Peter Meier	8
+	A harnack inequality for parabolic differential equations	1964	Jürgen Moser	8
+ PDF Chat	Critère d’existence de solutions positives pour des équations semi-linéaires non monotones	1985	Pierre Baras Michel Pierre	8
+ PDF Chat	Superlinear indefinite elliptic problems and nonlinear Liouville theorems	1994	Henri Berestycki Italo Capuzzo Dolcetta Louis Nirenberg	7
+ PDF Chat	On a parabolic equation with a singular lower order term	1996	Qi Zhang	7
+	Second Order Parabolic Differential Equations	1996	Gary M. Lieberman	7
+ PDF Chat	Matrix Harnack estimate for the heat equation	1993	Richard S. Hamilton	7
+	Linear and Quasilinear Equations of Parabolic Type	1969	O. A. Ladyzhenskai︠a︡	7
+	Existence and Nonexistence of Global Solutions forut=Δu+a(x)upinRd	1997	Ross G. Pinsky	7
+ PDF Chat	Differential Harnack Estimates for Time-Dependent Heat Equations with Potentials	2009	Xiaodong Cao Richard S. Hamilton	7
+ PDF Chat	On the Conditions to Extend Ricci Flow	2008	Bing Wang	6
+	Relative Volume Comparison with Integral Curvature Bounds	1997	Peter Petersen Guofang Wei	6
+	The Ricci Flow: Techniques and Applications	2007	Bennett Chow Sun-Chin Chu David Glickenstein Christine Guenther James Isenberg Tom Ivey Dan Knopf Peng Lü Feng Luo Lei Ni	6
+ PDF Chat	Local estimates on two linear parabolic equations with singular coefficients	2006	Qi Zhang	6
+	Nonlinear equations and weighted norm inequalities	1999	N. J. Kalton Igor E. Verbitsky	6
+	Logarithmic Sobolev Inequalities	1975	Leonard Gross	6
+ PDF Chat	Bounds on volume growth of geodesic balls under Ricci flow	2012	Qi S. Zhang	6
+ PDF Chat	SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS	2006	Philippe Souplet Qi S. Zhang	6
+ PDF Chat	Lp and mean value properties of subharmonic functions on Riemannian manifolds	1984	Peter Li Richard Schoen	6
+	Optimal Sobolev inequalities on complete Riemannian manifolds with Ricci curvature bounded below and positive injectivity radius	1996	Emmanuel Hebey	6
+	Analysis and geometry on manifolds with integral Ricci curvature bounds. II	2000	Peter Petersen Guofang Wei	6
+	THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS	1992	Alexander Grigor’yan	6
+	A new proof of Moser's parabolic harnack inequality using the old ideas of Nash	1986	Eugene B. Fabes D. W. Stroock	6
+ PDF Chat	Some gradient estimates for the heat equation on domains and for an equation by Perelman	2006	Q. S. Zhang	6
+	On the existence of positive solutions of nonlinear elliptic equations—a probabilistic potential theory approach	1993	Zhengyang Zhao	6
+ PDF Chat	Lower Bound on the Blow-up Rate of the Axisymmetric Navier–Stokes Equations	2008	Chiun‐Chuan Chen Robert M. Strain Horng‐Tzer Yau Tai‐Peng Tsai	6
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	6
+ PDF Chat	Meilleures constantes dans le théorème d’inclusion de Sobolev	1996	Emmanuel Hebey Michel Vaugon	5
+	BOUNDING SCALAR CURVATURE AND DIAMETER ALONG THE KÄHLER RICCI FLOW (AFTER PERELMAN)	2008	Nataša Šešum Gang Tian	5
+	Brownian motion and harnack inequality for Schrödinger operators	1982	Michael Aizenman Barry Simon	5
+ PDF Chat	Global solutions of Navier-Stokes equations with large $L^2$ norms in a new function space	2004	Qi S. Zhang	5
+	Conditions for the Local Boundedness of Solutions of the Navier–Stokes System in Three Dimensions	2003	Mike O’Leary	5
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	5
+ PDF Chat	Deforming the metric on complete Riemannian manifolds	1989	Wan-Xiong Shi	5
+	Ricci flow with surgery on three-manifolds	2003	Grisha Perelman	5
+ PDF Chat	A Complete Proof of the Poincaré and Geometrization Conjectures - application of the Hamilton-Perelman theory of the Ricci flow	2006	Huai-Dong Cao Xi-Ping Zhu	5
+	An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci $\ge 0$	2000	Qi S. Zhang	5
+	The logarithmic Sobolev inequality along the Ricci flow	2007	Rugang Ye	5
+	The Role of Critical Exponents in Blow-Up Theorems: The Sequel	2000	Keng Deng Howard A. Levine	5
+ PDF Chat	The heat equation with a singular potential	1984	Pierre Baras Jerome A. Goldstein	5
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	5
+	Conditional transformation of drift formula and potential theory for 1/2?+b(�)�?	1987	M. Cranston Zhengyang Zhao	5