Electronic Journal of Differential Equations (Jul 2017)

Critical case for the viscous Cahn-Hilliard equation

  • Le Trong Thanh Bui,
  • Anh Nguyen Dao,
  • Jesus Ildefonso Diaz

Journal volume & issue
Vol. 2017, no. 176,
pp. 1 – 8

Abstract

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We prove the existence of solutions of the viscous Cahn-Hilliard equation in whole domain when the nonlinear term in the second order diffusion grows as $u^q$ for the critical case when $N\geq 3$. Our results improve the ones in [9,12].

Keywords