Existence of generalized solution for a class of partial differential equations with nonhomogeneous boundary condition

摘要

In this paper, the existence of generalized solution for a class of partial differential equations with nonhomogeneous boundary condition is investigated. This problem is arisen in polymer processing which concern with the first initial-boundary value problem of nonstationary flow of the incompressible non-Newtonian fluids through slit dice. The existence theorem of generalized solution is proved under reasonable conditions.