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Volume 19, Issue 4
BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization

Linghai Kong , Zhongdan Huan & Boling Guo

J. Part. Diff. Eq., 19 (2006), pp. 325-340.

Published online: 2006-11

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  • Abstract
In this paper, we study a initial value problem of a degenerate parabolic equation coupled with time-delay regularization. The existence of BV solutions to the problem for an initial BV_{loc} data is obtained. Moreover, the existence and uniqueness of spatial-periodic classical solutions to its corresponding regularized problem are also given.
  • Keywords

Time-delay parabolic regularization BV solution

  • AMS Subject Headings

35K45 35D05 35K65.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-19-325, author = {Linghai Kong , Zhongdan Huan and Boling Guo }, title = {BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization}, journal = {Journal of Partial Differential Equations}, year = {2006}, volume = {19}, number = {4}, pages = {325--340}, abstract = { In this paper, we study a initial value problem of a degenerate parabolic equation coupled with time-delay regularization. The existence of BV solutions to the problem for an initial BV_{loc} data is obtained. Moreover, the existence and uniqueness of spatial-periodic classical solutions to its corresponding regularized problem are also given.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5336.html} }
TY - JOUR T1 - BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization AU - Linghai Kong , Zhongdan Huan & Boling Guo JO - Journal of Partial Differential Equations VL - 4 SP - 325 EP - 340 PY - 2006 DA - 2006/11 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5336.html KW - Time-delay KW - parabolic regularization KW - BV solution AB - In this paper, we study a initial value problem of a degenerate parabolic equation coupled with time-delay regularization. The existence of BV solutions to the problem for an initial BV_{loc} data is obtained. Moreover, the existence and uniqueness of spatial-periodic classical solutions to its corresponding regularized problem are also given.
Linghai Kong , Zhongdan Huan and Boling Guo . (2006). BV Solutions to a Degenerate Equation Coupled with Time-delay Regularization. Journal of Partial Differential Equations. 19 (4). 325-340. doi:
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