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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2021-11-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | https://doi.org/10.1186/s13662-021-03668-3 |