Parabolic equations with concave non-linearity

Zhirayr Avetisyan, Khachatur Khachatryan, Michael Ruzhansky

In this paper we prove the existence and uniqueness of positive mild solutions for the semilinear parabolic equations of the form $u_t+\mathcal{L}u=f+h\cdot G(u)$, where $h$ is a p…