Solutions of nonlinear parabolic equations without growth restrictions on the data ∗

Abstract

The purpose of this paper is to prove the existence of solutions for certain types of nonlinear parabolic partial differential equations posed in the whole space, when the data are assumed to be merely locally integrable functions, without any control of their behaviour at infinity. A simple representative example of such an equation is ut −∆u+ |u|u = f… (More)

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