TY - JOUR T1 - On the Cahn-Hilliard Equation with Nonlinear Principal Part AU - Yin Jingxue JO - Journal of Partial Differential Equations VL - 1 SP - 77 EP - 96 PY - 1994 DA - 1994/07 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5674.html KW - Calm-Hilliard equation KW - existence KW - uniqueness KW - Campanato space AB - We study the Calm-Hilliard equation with nonlinear principal part \frac{∂u}{∂t} + D[m(u)(kD^3u - DA(u))] = 0 The existence of classical solutions is established by means of the method based on Campanato spaces and the energy estimates. The corresponding uniqueness is also proved.