An inhomogeneous nonlinear parabolic equation with concave nonlinearity

Miguel Loayza, Mohamed Majdoub

We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation $u_t-\Delta u=|x{|}^{-\gamma }{u}^q$, $0<q<1$, $\gamma >0$ in the whole space $\mathbb{R…