English

Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

Analysis of PDEs 2016-12-19 v1

Abstract

Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing.

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Cite

@article{arxiv.1612.05346,
  title  = {Rate of convergence for one-dimensional quasilinear parabolic problem and its applications},
  author = {Seonghak Kim},
  journal= {arXiv preprint arXiv:1612.05346},
  year   = {2016}
}

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16 pages