Publications:

No.
Title
Co-authors
Status
Links
7 Blowup of H^1 solutions for a class of the focusing inhomogeneous nonlinear Schrodinger equation
Nonlinear Anal. 174 (2018),
pp. 169-188.
[Journal]
[arXiv]
6 Global existence and scattering for a class of nonlinear fourth-order Schrodinger equation below the energy space
Nonlinear Anal. 172 (2018),
pp. 115-140.
[Journal]
[arXiv]
5 On well-posedness, regularity and ill-posedness of the nonlinear fourth-order Schrodinger equation
Bull. Belg. Math. Soc. Simon Stevin 25, No. 3. [arXiv]
4 On the Cauchy problem for the nonlinear semirelativistic equation in Sobolev spaces
Discrete Contin. Dyn. Syst. 38 (2018)
No. 3, pp. 1127-1143.
[Journal]
[arXiv]
3 Global well-posedness for a L2-critical nonlinear higher-order Schrodinger equation
J. Math. Anal. Appl. 458 (2018),
No. 1, pp. 174-192.
[Journal]
[arXiv]
2 On the focusing mass-critical nonlinear fourth-order Schrodinger equation below the energy space
Dyn. Partial Differ. Equ. 14 (2017),
No. 3, pp. 295-320.
[Journal]
[arXiv]
1 Strichartz estimates for the fractional Schrodinger and wave equations on compact manifolds without boundary
J. Differential Equations 263 (2017),
No. 12, pp. 8804-8837.
[Journal]
[arXiv]

Preprints:

No.
Title
Co-authors
Status
Links
5 Global existence and blowup for a class of the focusing nonlinear Schr\"odinger equation with inverse-square potential
Submitted [arXiv]
4 Energy scattering for a class of the defocusing inhomogeneous nonlinear Schr\"odinger equation
Submitted [arXiv]
3 Scattering theory in a weighted L2 space for a class of the defocusing inhomogeneous nonlinear Schr\"odinger equation
Submitted [arXiv]
2 Global Strichartz estimates for the fractional Schrodinger equations on asymptotically Euclidean manifolds
Submitted [arXiv]
1 Well-posedness of nolinear fractional Schrodinger and wave equations in Sobolev spaces
Submitted [arXiv]

Works in preparation:

No.
Title
Co-authors
Status
Links
3 Global Strichartz estimates for the wave equation on asymptotically conic manifolds
In preparation
2 Global Strichartz estimates for the fractional Schrodinger equations on asymptotically conic manifolds
In preparation
1 Global Strichartz estimates and the nonlinear wave equation on asymptotically Euclidean manifolds of dimensions $d\geq 2$
In preparation

Unpublished papers:

No.
Title
Co-authors
Status
Links
1 Global existence for the defocusing mass-critical nonlinear fourth-order Schrödinger equation below the energy space
Unpublished [arXiv]