Stability of degenerate parabolic Cauchy problems
  We prove that solutions to Cauchy problems related to the $p$-parabolic equations are stable with respect to the nonlinearity exponent $p$. More specifically, solutions with a fixed initial trace converge in an $L^q$-space to a solution of the limit problem as $p>2$ varies. 
Teemu Lukkari and Mikko Parviainen
math.AP