Low regularity conservation laws for integrable PDE

Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 28(4), 1062–1090.

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Author
Killip, Rowan; Vişan, MonicaISTA; Zhang, Xiaoyi
Abstract
We present a general method for obtaining conservation laws for integrable PDE at negative regularity and exhibit its application to KdV, NLS, and mKdV. Our method works uniformly for these problems posed both on the line and on the circle.
Publishing Year
Date Published
2018-07-01
Journal Title
Geometric and Functional Analysis
Publisher
Springer Nature
Volume
28
Issue
4
Page
1062-1090
ISSN
eISSN
IST-REx-ID

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Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 2018;28(4):1062-1090. doi:10.1007/s00039-018-0444-0
Killip, R., Vişan, M., & Zhang, X. (2018). Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. Springer Nature. https://doi.org/10.1007/s00039-018-0444-0
Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Low Regularity Conservation Laws for Integrable PDE.” Geometric and Functional Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00039-018-0444-0.
R. Killip, M. Vişan, and X. Zhang, “Low regularity conservation laws for integrable PDE,” Geometric and Functional Analysis, vol. 28, no. 4. Springer Nature, pp. 1062–1090, 2018.
Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 28(4), 1062–1090.
Killip, Rowan, et al. “Low Regularity Conservation Laws for Integrable PDE.” Geometric and Functional Analysis, vol. 28, no. 4, Springer Nature, 2018, pp. 1062–90, doi:10.1007/s00039-018-0444-0.
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