Publications [#354041] of Jian-Guo Liu

Papers Published

1. LIU, JIANGUO; XU, X, A CLASS OF FUNCTIONAL INEQUALITIES AND THEIR APPLICATIONS TO FOURTH-ORDER NONLINEAR PARABOLIC EQUATIONS, Communications in Mathematical Sciences, vol. 18 no. 7 (January, 2020), pp. 1911-1948, International Press of Boston [doi] [reputed journal]
   (last updated on 2025/05/01)

   Abstract:
   We study a class of fourth-order nonlinear parabolic equations which include the thinfilm equation and the quantum drift-diffusion model as special cases. We investigate these equations by first developing functional inequalities of the type [Fourmula presented] which seem to be of interest in their own right.