Stability of degenerate parabolic Cauchy problems
Published inCommunications on pure and applied analysis
© 2014 American Institute of Mathematical Sciences. This is a final draft version of an article whose final and definitive form has been published by AIMS. Published in this repository with the kind permission of the publisher.
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.