Volume 7, Issue 1
On the Cahn-Hilliard Equation with Nonlinear Principal Part

Yin Jingxue

DOI:

J. Part. Diff. Eq.,7(1994),pp.77-96

Published online: 1994-07

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  • Abstract

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.

  • Keywords

Calm-Hilliard equation existence uniqueness Campanato space

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@Article{JPDE-7-77, author = {Yin Jingxue}, title = {On the Cahn-Hilliard Equation with Nonlinear Principal Part}, journal = {Journal of Partial Differential Equations}, year = {1994}, volume = {7}, number = {1}, pages = {77--96}, abstract = { 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5674.html} }
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