On the parabolic Donaldson's equation over a compact complex manifold

Liangdi Zhang

Published 2022-08-06Version 1

We prove the uniqueness and long time existence of the smooth solution to a parabolic Donaldson's equation on a compact complex manifold $M$.Then we show that a suitably normalized solution converges to a smooth function on $M$ in $C^\infty$ topology as $t\rightarrow\infty$.