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Volume 30, Issue 4
Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space

Ling-Jun Wang

DOI: 10.4208/jpde.v30.n4.5

J. Part. Diff. Eq., 30 (2017), pp. 344-380.

Published online: 2017-11

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  • Abstract

In this paper, we investigate the Cahn-Hilliard equation defined on the half space and subject to the Neumann boundary and initial condition. For given initial data in some sobolev space, we prove the existence and analytic smoothing effect of the solution.

  • Keywords

Cahn-Hilliard equation Neumann boundary condition analyticity half space.

  • AMS Subject Headings

35B65, 35G25, 35K35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wanglingjun@wust.edu.cn (Ling-Jun Wang)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-30-344, author = {Wang , Ling-Jun}, title = {Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space}, journal = {Journal of Partial Differential Equations}, year = {2017}, volume = {30}, number = {4}, pages = {344--380}, abstract = {

In this paper, we investigate the Cahn-Hilliard equation defined on the half space and subject to the Neumann boundary and initial condition. For given initial data in some sobolev space, we prove the existence and analytic smoothing effect of the solution.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v30.n4.5}, url = {http://global-sci.org/intro/article_detail/jpde/10679.html} }
TY - JOUR T1 - Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space AU - Wang , Ling-Jun JO - Journal of Partial Differential Equations VL - 4 SP - 344 EP - 380 PY - 2017 DA - 2017/11 SN - 30 DO - http://doi.org/10.4208/jpde.v30.n4.5 UR - https://global-sci.org/intro/article_detail/jpde/10679.html KW - Cahn-Hilliard equation KW - Neumann boundary condition KW - analyticity KW - half space. AB -

In this paper, we investigate the Cahn-Hilliard equation defined on the half space and subject to the Neumann boundary and initial condition. For given initial data in some sobolev space, we prove the existence and analytic smoothing effect of the solution.

Wang , Ling-Jun. (2017). Well-posedness for the Cahn-Hilliard Equation with Neumann Boundary Condition on the Half Space. Journal of Partial Differential Equations. 30 (4). 344-380. doi:10.4208/jpde.v30.n4.5
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