On fractional Leibniz rule for dirichlet laplacian in exterior domain

Vladimir Georgiev, Koichi Taniguchi

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The goal of the work is to verify the fractional Leibniz rule for Dirichlet Laplacian in the exterior domain of a compact set. The key point is the proof of gradient estimates for the Dirichlet problem of the heat equation in the exterior domain. Our results describe the time decay rates of the derivatives of solutions to the Dirichlet problem.

Original languageEnglish
Pages (from-to)1101-1115
Number of pages15
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume39
Issue number2
DOIs
Publication statusPublished - 2019 Feb

Keywords

  • Dirichlet problem
  • Exterior domains
  • Fractional Leibniz rule
  • Gradient estimates
  • Heat equations

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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