Aspects of Solvability Theory for Quasilinear Parabolic Systems in Specific Form with the Singular Coefficients

Abstract

In this paper, we study a quasilinear parabolic system in the form ∂) is an unknown N-dimensional vector over a domain DT = Ω × [0, T], we assume the weak general conditions on the structural coefficients, demanding that the singular term satisfy the formboundary conditions.