The Existence of Generalized Solutions for a Nonhomogeneous Boundary Value Problem

摘要

Aim The existence of generalized solutions for a class of nonlinear partial differen- tial equations with nonhomogeneous boundary condition was investigated. This problem arises from polymer processing concerned with the fast initial-boundary value problem of the non- stationary flow of non-Newtonian viscous incompressible fluid through the slit dice. Methods The monotone operator theory and the Schauder's fixed point theorem were used. Results and Conclusion The existence theorem of generalized solutions for a class of nonlinear partial differential equations with nonhomogeneous boundary condition is proved under reasonable conditions.