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Global well-posedness and temporal decay estimates to the fractional Cahn–Hilliard equation in N

  • Ning Duan and Xiaopeng Zhao EMAIL logo
Published/Copyright: March 21, 2019

Abstract

This paper is devoted to study the global well-posedness of solutions for the Cauchy problem of the fractional Cahn–Hilliard equation in N (N+), provided that the initial datum is sufficiently small. In addition, the Lp-norm (1p) temporal decay rate for weak solutions and the higher-order derivative of solutions are also studied.

MSC 2010: 35K55; 35A01; 35B45

Communicated by Christopher D. Sogge


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Received: 2018-11-25
Published Online: 2019-03-21
Published in Print: 2019-05-01

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