Stability of equilibria in an elliptic-parabolic moving boundary problem
Joachim Escher, Georg Prokert · TU/e Research Portal · 2008
We discuss a moving boundary problem modeling tumor growth in in vitro tissue cultures.It is shown that the unique flat steady state solution is exponentially stable with respect to general (sufficiently smooth) perturbations.Furthermore, it is also shown that any solution to the problem becomes instantaneously real analytic in space and in time.