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Volume 9, Issue 4
Two Dimensional Landau-Lifshitz Equation

Yunmei Chen & Boling Guo

J. Part. Diff. Eq., 9 (1996), pp. 313-322.

Published online: 1996-09

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  • Abstract
In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.
  • Keywords

Two dimensional Landau-Lifshitz equation almost smooth

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@Article{JPDE-9-313, author = {}, title = {Two Dimensional Landau-Lifshitz Equation}, journal = {Journal of Partial Differential Equations}, year = {1996}, volume = {9}, number = {4}, pages = {313--322}, abstract = { In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5631.html} }
TY - JOUR T1 - Two Dimensional Landau-Lifshitz Equation JO - Journal of Partial Differential Equations VL - 4 SP - 313 EP - 322 PY - 1996 DA - 1996/09 SN - 9 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5631.html KW - Two dimensional Landau-Lifshitz equation KW - almost smooth AB - In this paper, we consider the Cauchy problem for two dimensional Landau-Lifshitz equation on 2-dimenslonal Riemannian manifold M without boundary. We proved that if u: M × R_+ → S², is a weak solution, then u is unique and smooth on M × R_+ with the exception of finitely many points.
Yunmei Chen & Boling Guo . (2019). Two Dimensional Landau-Lifshitz Equation. Journal of Partial Differential Equations. 9 (4). 313-322. doi:
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