A STABILITY THEORY FOR INITIAL, BOUNDARY VAUIE PROBLEMS OF PARABOLIC TYPE
F D Penning · Quaestiones Mathematicae · 1989
We consider the stability of weak and classical solutions of parabolic problems with respect to changes in the coefficients of the differential and boundary operators as well as in the initial conditions. Using a semi-group approach, together Kith a priori estimates for elliptic boundary value problems, we obtain stability results in tern of the uniform convergence of the solutions under various conditions concerning changes in the coefficients and initial conditions.