A. Bychowska

Quasilinearization Methods for Nonlinear Parabolic Equations with Functional Dependence

We consider a Cauchy problem for nonlinear parabolic equations with functional dependence. We prove convergence theorems for a general quasilinearization method in two cases:
(i) the Hale functional acting only on the unknown function,
(ii) including partial derivatives of the unknown function.