偏微分方程、調和分析

A. Journal Papers

• Sharp regularizing estimates for the gain term of the Boltzmann collision, SIAM J. Math. Anal. 52 (2020) v4 , 4068-4100.

• (With K. Hidano, S. Lee and C. Wang) Weighted fractional chain rule and nonlinear wave equation minimal regularity, Rev. Mat. Iberoam, 36 (2020), 341-356. • (With T.-P.Liu) Boltzmann collision operator for the infinite range potential:a limit problem. Ann. Inst. H. Poincare Anal. Non lineaire, 36 (2019) no.6 , 1639-1677.

• (With L. He) Well-posedness and scattering for the Boltzmann equations:Soft potential with cut-off, Journal of Statistical Physics, 168 (2017) v.2, 470-481.

• (With S.Shao and C.-K. Lin) On one dimensional Quantum Zakharov system, DCDS-A, 36 (2016), 5445-5475.

• (With S. Shao) On characterization of the sharp Strichartz inequality for the Schrödinger Equation, Analysis & PDE, 9 (2016), 353-361.

• Smoothing property of gain part of Boltzmann collision operator, SIAM J. Math. Anal., 44 (2012), 1522-1543.

• (With C. Wang and X. Xu ) Generalized and Weighted Strichartz Estimates, Comm. Pure Appl. Anal., 11 (2012) no.5, 1723-1752.

• (With B. Pausader and S. Shao) The linear profile decomposition for the fourth order Schrödinger equation , J. Differential Equations, 249 (2010) no.10, pp. 2521-2547.

• Bilinear Strichartz estimates for Schrödinger operators in 2 dimensional compact manifolds with boundary and cubic NLS, Differential and Integral Equations, 24 (2011) no.1-2, pp.83-108.

B. Other Papers

• (With A.V. Bobylev and I.F. Potapenko) On the comparison of Boltzmann and Landau collision integrals, Keldysh Institute Preprints, 2019. doi:10.20948/prepr-2019-30-e

• (With L.He) On the gloabl dynamics of the inhomogeneous Boltzmann equations without angular cutoff: Hard potential and Maxwellain molecules. ArXiv: 1710.00315.

• (With H.-X Li, H.-C Fu, S.-Y. Huang, D.-M. Kwal, Y.-F Chou) Testing power-delivery TSVs, Proceedings of the 6th Asia Symposium on Quality Electronic Design, ASQED 2015 , 2015-09-21

• (With S. Shao and B. Stovall ) Linear profile decomposition for a family of 4th order Schrödinger equations, ArXiv:1410.7520