Existence of solutions with exponential growth for nonlinear differential-functional parabolic equations
Volume 111 / 2014
Annales Polonici Mathematici 111 (2014), 309-326
MSC: 35R10, 35K15.
DOI: 10.4064/ap111-3-7
Abstract
We consider the Cauchy problem for nonlinear parabolic equations with functional dependence. We prove Schauder-type existence results for unbounded solutions. We also prove existence of maximal solutions for a wide class of differential functional equations.
