Add to ORKGIn this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere Sn−1, n ≥ 3, can be extended to the n-dimensional hyperbolic space such that the heat flow starting with this extension converges to a quasi-isometric harmonic map. This implies the Schoen–Li–Wang conjecture that every quasiconformal map of Sn−1, n ≥ 3, can be extended to a harmonic quasi-isometry of the n-dimensional hyperbolic space
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the tw...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
We prove that a quasiconformal map of the sphere S^2 admits a harmonic quasi-isometric extension to ...
We prove that a quasiconformal map of the sphere S^2 admits a harmonic quasi-isometric extension to ...
Abstract. Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blo...
[[abstract]]Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative b...
Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blow-up for t...
The purpose of this note is to provide a new proof for the explicit formulas of the heat kernel on h...
This thesis studies some problems in geometry and analysis with techniques developed from non-linear...
Abstract. Dirac-geodesics are Dirac-harmonic maps from one dimensional domains. In this paper, we in...
We show that every quasisymmetric homeomorphism of the circle ∂ℍ2admits a harmonic qua...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the tw...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
We prove that a quasiconformal map of the sphere S^2 admits a harmonic quasi-isometric extension to ...
We prove that a quasiconformal map of the sphere S^2 admits a harmonic quasi-isometric extension to ...
Abstract. Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blo...
[[abstract]]Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative b...
Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blow-up for t...
The purpose of this note is to provide a new proof for the explicit formulas of the heat kernel on h...
This thesis studies some problems in geometry and analysis with techniques developed from non-linear...
Abstract. Dirac-geodesics are Dirac-harmonic maps from one dimensional domains. In this paper, we in...
We show that every quasisymmetric homeomorphism of the circle ∂ℍ2admits a harmonic qua...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the tw...
Let {f(n) : D --> D} be a sequence of locally quasiconformal harmonic maps on the unit disk D wit...