1 research outputs found
A conditional regularity result for p-harmonic flows
We prove an -regularity result for a wide class of parabolic
systems
with the right hand side growing like . It is assumed that
the solution is uniformly small in the space of functions of
bounded mean oscillation. The crucial tool is provided by a sharp nonlinear
version of the Gagliardo-Nirenberg inequality which has been used earlier in an
elliptic context by T. Rivi\`ere and the last named author.Comment: To appear in NoDEA. Referee suggestions implemente