Lösung semilinearer parabolischer Rand- AnIangswertprobleme durch monotone Iteration im Sobolevraum $W_2^{1,1}(Q_T)$

Abstract

The method of monotone iteration for solving semilinear parabolic initial boundary value problems in its classical formulation only works under sufficient smooth conditions on the coefficients of the problem. In the paper an extension of this method into a wider function space is proved, that alIows much weaker assumptions on the data of the problem.