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Existence and analyticity of solutions to fractional-in-space Cahn–Hilliard equation

Ning Duan, Ping Fang Colloquium Mathematicum MSC: Primary 35K25; Secondary 35B40 DOI: 10.4064/cm9551-2-2025 Published online: 30 April 2025

Abstract

For the Cauchy problem of a fractional-in-space Cahn–Hilliard equation, we show the existence of a unique global-in-time solution, analyticity and decay estimates with small initial data in Wiener space $\mathcal X_T:=\widetilde{L_T^\infty}\mathcal X_0\cap L_T^1\mathcal X_2$.

Authors

  • Ning DuanCollege of Sciences
    Northeastern University
    Shenyang 110819, P.R. China
    e-mail
  • Ping FangCollege of Sciences
    Northeastern University
    Shenyang 110819, P.R. China
    e-mail

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