Radon Measure-valued Solutions for Nonlinear Strongly Degenerate Parabolic Equations with Measure Data

Authors

  • Quincy Stevene Nkombo Dalian University of Technology
  • Fengquan Li Dalian University of Technolofy

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i1.3877

Keywords:

Radon measure-valued solutions, Nonlinear degenerate parabolic equations, Capacity

Abstract

In this paper, we prove the existence of Radon measure-valued solutions for nonlinear degenerate parabolic equations with nonnegative bounded Radon measure data. Moreover, we show the uniqueness of the measure-valued solutions when the Radon measure as a forcing term is diffuse with respect to the parabolic capacity and the Radon measure as a initial value is diffuse with respect to the Newtonian capacity. We also deduce that the concentrated part of the solution with respect to the Newtonian capacity depends on time.

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Published

2021-01-31

Issue

Vol. 14 No. 1: (January 2021)

Section

Nonlinear Analysis

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How to Cite

Radon Measure-valued Solutions for Nonlinear Strongly Degenerate Parabolic Equations with Measure Data. (2021). European Journal of Pure and Applied Mathematics, 14(1), 204-233. https://doi.org/10.29020/nybg.ejpam.v14i1.3877