Existence and asymptotic behavior of Radon measure-valued solutions for a class of nonlinear parabolic equations

Abstract In this paper we address the weak Radon measure-valued solutions associated with the Young measure for a class of nonlinear parabolic equations with initial data as a bounded Radon measure. This problem is described as follows: { u t = α u x x + β [ φ ( u ) ] x x + f ( u ) in Q : = Ω × ( 0...

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Bibliographic Details
Main Authors: Quincy Stévène Nkombo, Fengquan Li, Christian Tathy
Format: Article
Language:English
Published: SpringerOpen 2021-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03668-3