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Volume 21, Issue 1
A Cahn-Hilliard Type Equation with Gradient Dependent Potential

Jingxue Yin & Rui Huang

J. Part. Diff. Eq., 21 (2008), pp. 77-96.

Published online: 2008-02

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  • Abstract

We investigate a Cahn-Hilliard type equation with gradient dependent potential. After establishing the existence and uniqueness, we pay our attention mainly to the regularity of weak solutions by means of the energy estimates and the theory of Campanato Spaces.

  • Keywords

Cahn-Hilliard equation existence uniqueness regularity

  • AMS Subject Headings

35K55 35G30 35D10.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-21-77, author = {Jingxue Yin and Rui Huang}, title = {A Cahn-Hilliard Type Equation with Gradient Dependent Potential}, journal = {Journal of Partial Differential Equations}, year = {2008}, volume = {21}, number = {1}, pages = {77--96}, abstract = {

We investigate a Cahn-Hilliard type equation with gradient dependent potential. After establishing the existence and uniqueness, we pay our attention mainly to the regularity of weak solutions by means of the energy estimates and the theory of Campanato Spaces.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5270.html} }
TY - JOUR T1 - A Cahn-Hilliard Type Equation with Gradient Dependent Potential AU - Jingxue Yin & Rui Huang JO - Journal of Partial Differential Equations VL - 1 SP - 77 EP - 96 PY - 2008 DA - 2008/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5270.html KW - Cahn-Hilliard equation KW - existence KW - uniqueness KW - regularity AB -

We investigate a Cahn-Hilliard type equation with gradient dependent potential. After establishing the existence and uniqueness, we pay our attention mainly to the regularity of weak solutions by means of the energy estimates and the theory of Campanato Spaces.

Jingxue Yin and Rui Huang. (2008). A Cahn-Hilliard Type Equation with Gradient Dependent Potential. Journal of Partial Differential Equations. 21 (1). 77-96. doi:
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