Quasilinearization methods for nonlinear differential-functional parabolic equations: unbounded case
Volume 90 / 2007
Annales Polonici Mathematici 90 (2007), 247-263
MSC: 35K10, 35K15, 35R10.
DOI: 10.4064/ap90-3-5
Abstract
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.
