TY - JOUR T1 - Global Existence for a Class of Non-Fickian Polymer-penetrant Systems JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 208 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5621.html KW - A priori estimates KW - nonlocal PDE KW - global existence AB - This paper deals with a class of strongly coupled and highly degenerate nonlinear parabolic systems, which arises from a model describing non-Fickian diffusion of penetrant into glassy polymers. By means of a fixed point argument and a priori estimates, we establish the global existence and uniqueness for the systems.