Zongyuan Li

Zongyuan Li

he/him

Published/Accepted Papers

  1. On the \(W^2_p\) estimate for oblique derivative problems of second order elliptic equations. (With H. Dong) Int. Math. Res. Not. IMRN, (5):3602-3635, 2022. arxiv, Journal.
  2. Optimal Regularity for a Dirichlet-Conormal Problem in Reifenberg Flat Domain. (With J. Choi and H. Dong) Appl. Math. Optim., 83(3):1547-1583, 2021. arxiv, Journal
  3. Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients. (With H. Dong) Trans. Amer. Math. Soc., 373(7) : 4975-4997, 2020. arxiv, Journal
  4. Norm inflation for the Boussinesq system. (With W. Wang) Discrete Contin. Dyn. Syst. Ser. B, 26(10):5449-5463, 2021. arxiv, Journal
  5. The Dirichlet-conormal problem with homogeneous and inhomogeneous boundary conditions. (With H. Dong) Comm. Partial Differential Equations, 46(3):470–497, 2021. arxiv, Journal
  6. The conormal and Robin boundary value problems in nonsmooth domains satisfying a measure condition. (With H. Dong) J. Funct. Anal., 281(9):Paper No. 109167, 32, 2021. arxiv, Journal
  7. Optimal regularity of mixed Dirichlet conormal boundary value problems for parabolic operators. (With J. Choi and H. Dong) SIAM J. Math. Anal., 54(2):1393-1427, 2022. arxiv, Journal
  8. Quantitative unique continuation for Robin boundary value problems on C1,1 domains. (With W. Wang) Indiana Univ. Math. J., 72(4):1429–1460, 2023. arxiv, Journal
  9. Mixed boundary value problems for parabolic equations in Sobolev spaces with mixed-norms. (With J. Choi and H. Dong) Calc. Var. Partial Differential Equations., 62(1): Paper No. 5, 2023. arxiv, Journal
  10. The Dirichlet-conormal problem for the heat equation with inhomogeneous boundary conditions. (With H. Dong) Adv. Math., , 411: Paper No. 108777, 2022. arxiv, Journal
  11. Asymptotics of harmonic functions in the absence of monotonicity formulas. In Extended Abstracts, 2021/2022, Trends in Mathematics, vol 3, pages 125 – 131. Birkhäuser, 2024. arxiv, Book Chapter
  12. On the uniqueness of variable coefficient Schr"odinger equations. (With S. Federico and X. Yu) To appear in Commun. Contemp. Math. arxiv
  13. Asymptotic expansions for harmonic functions at conical boundary points. (With D. Kriventsov) To appear in Rev. Mat. Iberoam. arxiv