Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
In this paper, we study some new connections between parabolic Liouvilletype theorems and local and global properties of nonnegative classical solutions to superlinear parabolic problems, with or without boundary conditions.Namely, we develop a general method for derivation of universal, pointwise a priori estimates of solutions from Liouville-type theorems, which unifies …