Nonlinear harmonic analysis and dispersive partial differential equations

Sikora, Adam (Primary Chief Investigator (PCI))
Guo, Zihua (Chief Investigator (CI))
Hauer, Daniel (Chief Investigator (CI))
Tacy, Melissa (Partner Investigator (PI))

School of Mathematics

Project: Research

7 Article

7 results

2024

Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation
Chen, Y. & Guo, Z., 5 Jan 2024, In: Journal of Differential Equations. 378, p. 871-917 47 p.
Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)
2023

A uniform Besov boundedness and the well-posedness of the generalized dissipative quasi-geostrophic equation in the critical Besov space
Chen, Y., Guo, Z. & Tian, T., 27 Jun 2023, In: Forum Mathematicum. 36, 2, p. 403-416 14 p.
Research output: Contribution to journal › Article › Research › peer-review
Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation
Chen, Y. & Guo, Z., 15 Feb 2023, In: Journal of Differential Equations. 346, p. 205-228 24 p.
Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)
Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations
Guo, Z., Huang, C. & Song, L., 5 Sept 2023, In: Journal of Differential Equations. 366, p. 71-84 14 p.
Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)
Scattering for the Mass-Critical Nonlinear Klein–Gordon Equations in Three and Higher Dimensions
Cheng, X., Guo, Z. & Masaki, S., Oct 2023, In: Vietnam Journal of Mathematics. 51, 4, p. 869-909 41 p.
Research output: Contribution to journal › Article › Research › peer-review

Open Access
2021

An extension of Calderón-Zygmund type singular integral with non-smooth kernel
Chen, Y. & Guo, Z., 1 Nov 2021, In: Journal of Functional Analysis. 281, 9, 21 p., 109196.
Research output: Contribution to journal › Article › Research › peer-review

Open Access

5 Citations (Scopus)
2020

On scattering for the defocusing quintic nonlinear schrodinger equation on the two-dimensional cylinder
CHENG, XING., GUO, ZIHUA. & ZHAO, ZEHUA., 2020, In: SIAM Journal on Mathematical Analysis. 52, 5, p. 4185-4237 53 p.
Research output: Contribution to journal › Article › Research › peer-review

18 Citations (Scopus)

Nonlinear harmonic analysis and dispersive partial differential equations

Research output

Search results

Uniform sparse domination and quantitative weighted boundedness for singular integrals and application to the dissipative quasi-geostrophic equation

A uniform Besov boundedness and the well-posedness of the generalized dissipative quasi-geostrophic equation in the critical Besov space

Generalized singular integral with rough kernel and approximation of surface quasi-geostrophic equation

Pointwise decay of solutions to the energy critical nonlinear Schrödinger equations

Scattering for the Mass-Critical Nonlinear Klein–Gordon Equations in Three and Higher Dimensions

An extension of Calderón-Zygmund type singular integral with non-smooth kernel

On scattering for the defocusing quintic nonlinear schrodinger equation on the two-dimensional cylinder