Title of article :
Gradient flow of a harmonic function in
Author/Authors :
Pawe? Goldstein، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Abstract :
In the paper I study the gradient field of a harmonic function f in in a neighborhood of a critical point 0. I show that the flow of f, as a mapping between level sets of f, is a stratified mapping – that gives, in our case, an answer to the problem of stratifying the space of orbits of the field f posed by R. Thom. I also show that the trajectories of f having 0 as a limit point satisfy the finiteness conjecture and have generalized tangents at 0.
Keywords :
StratificationGradient flowGradient conjectureFiniteness conjecture
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS