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On the Cahn-Hilliard Equation with Nonlinear Principal Part
Authors:Yin Jingxue
Abstract:We study the Calm-Hilliard equation with nonlinear principal part \frac{∂u}{∂t} + Dm(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.
Keywords:Calm-Hilliard equation                                                                                                  existence                                                                                                  uniqueness                                                                                                  Campanato space
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