Qualitative properties of solutions to semilinear heat equations with singular initial data.
Quasi-linearisation methods for a nonlinear heat equation with functional dependence.
Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
We consider the Cauchy problem for nonlinear parabolic equations with functional dependence represented by the Hale functional acting on the unknown function and its gradient. We prove convergence theorems for a general quasilinearization method in natural subclasses of unbounded solutions.
Quasilinearization methods for nonlinear parabolic equations with functional dependence.