Add to ORKGAbstract. Using a comparison theorem, Chang, Ding, and Ye (1992) proved a finite time derivative blow-up for the heat flow of harmonic maps from D2 (a unit ball in R2) to S2 (a unit sphere in R3) under certain initial and boundary conditions. We generalize this result to the case of 3-harmonic map heat flow from D3 to S3. In contrast to the previous case, our governing parabolic equation is quasilinear and degenerate. Technical issues such as the development of a new comparison theorem have to be resolved. 1
ABSTRACT. – We study weakly convergent sequences of suitable weak solutions of heat flows of harmoni...
We settle a number of questions about the possible behaviour of the harmonic map heat flow at finite...
AbstractLet B2⊂R2 and S2⊂R3 be the unit disk and the unit sphere, and let v:B2×R+→S2 be a radially s...
[[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...
We consider the harmonic map heat flow from the three-dimensional ball to the two-sphere. We establi...
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the tw...
We analyse the finite-time blow-up of solutions of the heat flow for k-corotational maps $\mathbb{R}...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
We consider the heat flow of corotational harmonic maps from R3 to the three-sphere and prove the no...
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...
The main focus of this thesis is on critical parabolic problems, in particular, the harmonic map he...
The main focus of this thesis is on critical parabolic problems, in particular, the harmonic map he...
ABSTRACT. – We study weakly convergent sequences of suitable weak solutions of heat flows of harmoni...
We settle a number of questions about the possible behaviour of the harmonic map heat flow at finite...
AbstractLet B2⊂R2 and S2⊂R3 be the unit disk and the unit sphere, and let v:B2×R+→S2 be a radially s...
[[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...
We consider the harmonic map heat flow from the three-dimensional ball to the two-sphere. We establi...
We examine the harmonic map heat flow problem for maps between the three-dimensional ball and the tw...
We analyse the finite-time blow-up of solutions of the heat flow for k-corotational maps $\mathbb{R}...
We establish various uniformity properties of the harmonic map heat flow, including uniform converge...
In this paper we develop new methods for studying the convergence problem for the heat flow on negat...
We consider the heat flow of corotational harmonic maps from R3 to the three-sphere and prove the no...
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...
The main focus of this thesis is on critical parabolic problems, in particular, the harmonic map he...
The main focus of this thesis is on critical parabolic problems, in particular, the harmonic map he...
ABSTRACT. – We study weakly convergent sequences of suitable weak solutions of heat flows of harmoni...
We settle a number of questions about the possible behaviour of the harmonic map heat flow at finite...
AbstractLet B2⊂R2 and S2⊂R3 be the unit disk and the unit sphere, and let v:B2×R+→S2 be a radially s...