article published yes Rowan Killip author Monica Visan author 056daca0-b8d1-11f0-964f-f91054abf8ca Xiaoyi Zhang author 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. Springer Nature2018 eng 1016-443X 1420-8970 1708.0536210.1007/s00039-018-0444-0 2841062-1090 yes R. Killip, M. Vişan, and X. Zhang, “Low regularity conservation laws for integrable PDE,” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4. Springer Nature, pp. 1062–1090, 2018. R. Killip, M. Vişan, X. Zhang, Geometric and Functional Analysis 28 (2018) 1062–1090. Killip R, Vişan M, Zhang X. 2018. Low regularity conservation laws for integrable PDE. Geometric and Functional Analysis. 28(4), 1062–1090. Killip, R., Vişan, M., &#38; Zhang, X. (2018). Low regularity conservation laws for integrable PDE. <i>Geometric and Functional Analysis</i>. Springer Nature. <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a> Killip, Rowan, et al. “Low Regularity Conservation Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>, vol. 28, no. 4, Springer Nature, 2018, pp. 1062–90, doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a>. Killip, Rowan, Monica Vişan, and Xiaoyi Zhang. “Low Regularity Conservation Laws for Integrable PDE.” <i>Geometric and Functional Analysis</i>. Springer Nature, 2018. <a href="https://doi.org/10.1007/s00039-018-0444-0">https://doi.org/10.1007/s00039-018-0444-0</a>. Killip R, Vişan M, Zhang X. Low regularity conservation laws for integrable PDE. <i>Geometric and Functional Analysis</i>. 2018;28(4):1062-1090. doi:<a href="https://doi.org/10.1007/s00039-018-0444-0">10.1007/s00039-018-0444-0</a> 220552026-06-19T07:56:48Z2026-06-29T09:55:53Z