TY - JOUR T1 - A Fourth-order Degenerate Parabolic Equation with Variable Exponent JO - Journal of Partial Differential Equations VL - 4 SP - 376 EP - 392 PY - 2009 DA - 2009/11 SN - 22 DO - http://doi.org/10.4208/jpde.v22.n4.6 UR - https://global-sci.org/intro/article_detail/jpde/5264.html KW - Variable exponents KW - fourth-order KW - existence KW - uniqueness KW - long-time behavior AB -

In this paper we establish the existence, uniqueness and long-time behavior of weak solutions for the initial-boundary value problem of a fourth-order degenerate parabolic equation with variable exponent of nonlinearity.