Holder estimates of solutions degenerate nonlinear parabolic equations

Document Type : Research Paper

Authors

1 Azerbaijan Architecture and Construction University, Baku, Azerbaijan.

2 Institute of Mathematics and Mechanics of NAS Azerbaijan‎, ‎Baku‎, ‎Azerbaijan.

3 Baku State University‎, ‎Department of Higher Mathematics‎, ‎Baku‎, ‎Azerbaijan.

4 Sumqait State University‎, ‎Sumqait‎, ‎Azerbaijan.

Abstract

Holder estimates of solutions of initial-boundary problem degenerate nonlinear parabolic equations are obtained. Estimates for solutions and parabolic Harnack inequality are proved. Also, one variant of weighted Poincare inequality is shown.

Keywords

References

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Computational Methods for Differential Equations
Volume 11, Issue 1
January 2023
Pages 197-206

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History

  • Receive Date: 17 June 2021
  • Accept Date: 24 August 2022

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