A Class Of Semi-linear Solution Of All Changed Shunt Existence

The main goal of this paper is to prove the existence of solutions of a semilinear total variation flow problemWe fist prove the operator A be closed and completely accretive, the existence of semigroup solutions of the problemVand show that for initial data inL2 (O)the semigroup solution is a strong solution of(PA). Then we prove that strong solutions of (PA) coincide with weak solutions of (PD). We also investigate the relationship of solutions of (PD) and the problemu = 0,aOFinally we prove the existence of solutions of the following minimizing problem...