Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
The authors study existence and blow-up for the following system of two coupled evolutionary \(p\)-Laplacian equations: \[ {\partial u_j\over\partial t}- \text{div}(|\nabla u_j|^{p-2}\nabla u_j)= a_j \int_\Omega u^{\alpha_j}_j(x, t) u^{\beta_k}_k(x, t)\,dx. \] Here \(j,k= 1,2\) and \(k\neq j\). The source terms are nonlocal.
scientific article; zbMATH DE number 5289102
scientific article