Renormalization for the Laplacian and global well-possness of the Landau–Lifshitz–Gilbert equation in dimensions $n \geq3$-Reference-Cited by-同舟云学术

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Renormalization for the Laplacian and global well-possness of the Landau–Lifshitz–Gilbert equation in dimensions $n \geq3$

Published:2020-05-14 Issue:1 Volume:2020 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Zhong Penghong,Wu Fengong,Tang Shengxiang

Funder

TianYuan Special Fund of the National Natural Science Foundation of China

PhD Start-up Fund of Natural Science Foundation of Guangdong Province

Special Innovation Projects of Universities in Guangdong Province

Fund for Science and Technology of Guangzhou

Project for Young Creative Talents of Ordinary University of Guangdong Province

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-020-01377-6.pdf

Reference24 articles.

1. Alouges, F., Soyeur, A.: On global weak solutions for Landau–Lifshitz equations: existence and nonuniqueness. Nonlinear Anal. 18, 1071–1084 (1992)

2. Bejenaru, I., Ionescu, A.D., Kenig, C.E.: Global existence and uniqueness of Schrödinger maps in dimensions $d \geq4$. Adv. Math. 215, 263–291 (2007)

3. Bejenaru, I., Ionescu, A.D., Kenig, C.E., Tataru, D.: Global Schrödinger maps in dimensions $d \geq2$: small data in the critical Sobolev spaces. Ann. Math. 173, 1443–1506 (2011)

4. Chang, N., Shatah, J., Uhlenbeck, K.: Schrödinger maps. Commun. Pure Appl. Math. 53(5), 590–602 (2000)

5. Ding, S., Wang, C.: Finite time singularity of the Landau–Lifshitz–Gilbert equation. Int. Math. Res. Not. 2007, Article ID rnm012 (2007). https://doi.org/10.1093/imrn/rnm012

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