In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector value...In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector valued functions and x∈Ω R N. Under some structure conditions on the terms of the systems, the results on existence and uniqueness of global solutions of the systems are established.展开更多
文摘In this paper the following nonlinear degenerate parabolic systemsu t=Δ x( grad φ(u))+α·Δb(u)+f(x,t,u)with Dirichlet boundary conditions are discussed, where u, grad φ(u),b and f are vector valued functions and x∈Ω R N. Under some structure conditions on the terms of the systems, the results on existence and uniqueness of global solutions of the systems are established.
