Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition
Summary: We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that \(u(x, t)\) exists globally or blows up at some finite time \(t^*\). Moreover, an upper bound for \(t^*\) is derived. Under somewhat more restrictive conditions, a lower bound for \(t^*\) is also obtained.
scientific article; zbMATH DE number 7022099
scientific article