Post date: Jan 5, 2020 10:52:21 AM
Workshop on Dynamical Systems and Related Topics - VIASM December 2019
Abstract. We study a class of nonlocal partial differential equations with nonlinear perturbations, which can be seen as an interpolation between the Basset equation and nonclassical diffusion one. Our aim is to analyze some sufficient conditions ensuring the global solvability, regularity and stability of solutions. Our analysis is based on the theory of completely positive kernel functions, local estimates and a new Gronwall type inequality.