On the Cahn-Hilliard Equation with Nonlinear Principal Part

Authors

  • Yin Jingxue

Keywords:

Calm-Hilliard equation; existence; uniqueness; Campanato space

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.

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Published

1994-07-01

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Issue

Vol. 7 No. 1 (1994)

Section

Articles

How to Cite

On the Cahn-Hilliard Equation with Nonlinear Principal Part. (1994). Journal of Partial Differential Equations, 7(1), 77-96. https://www.global-sci.com/index.php/jpde/article/view/3764

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