Publications

  • P. Dutta, Well-posedness of the two-component Fornberg-Whitham system in Besov spaces, La Matematica – Official Journal of the Association for Women in Mathematics, https://doi.org/10.1007/s44007-024-00103-3, April 2024 (https://arxiv.org/pdf/2308.10072.pdf)
  • P. Dutta, Extending Lagrangian transformations to nonconvex scalar conservation laws, Electronic Journal of Differential Equations, Volume 2022, Issue 78, pp. 1-12, November 2022 (https://arxiv.org/pdf/2210.13649.pdf)
  • S. Bianchini, P. Dutta and K.T. Nguyen, Metric entropy for Hamilton-Jacobi equation with uniformly directional convex Hamiltonian, SIAM Journal on Mathematical Analysis, Volume 54, Issue 5, pp. 5551-5575, October 2022 (https://arxiv.org/pdf/2012.10577.pdf)
  • R. Capuani, P. Dutta and K.T. Nguyen, Metric entropy for functions of bounded total generalized variation, SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, pp. 1168-1190, February 2021 (https://arxiv.org/pdf/1912.00219.pdf)
  • P. Dutta and K.T. Nguyen, Covering numbers for bounded variation functions, Journal of Mathematical Analysis and Applications, Volume 468, Issue 2, pp. 1131-1143, December 2018 (https://arxiv.org/pdf/1805.09883.pdf)