In this paper, our purpose is to study the classical continuous optimal control (CCOC) for quaternary nonlinear parabolic boundary value problems (QNLPBVPs). The existence and uniqueness theorem (EUTh) state vector solution (QSVS) of weak form (WF) QNLPBVPs with a given (QCCCV) stated proved via Galerkin Method (GM) first compactness under suitable assumptions(ASSUMS). Furthermore, continuity o...