Bifurcation and hyperbolicity for a nonlocal quasilinear parabolic problem

José M. Arrieta, Alexandre N. Carvalho, Estefani M. Moreira +1

In this article, we study a one-dimensional nonlocal quasilinear problem of the form $u_t=a(\Vert u_x{\Vert }^2)u_{xx}+\nu f(u)$, with Dirichlet boundary conditions on the interval $[0,π…