The existence of globed and almost-globed solutions of heat equations with derivative nonlinear terms is considered for small initial data in the Besov or Triebel-Lizorkin spaces. As an application, the Navier-Stokes equation and the Keller-Segel system of parabolic elliptic type are considered.
|Number of pages||50|
|Journal||Advances in Differential Equations|
|Publication status||Published - 2013 Jul|