Yangkendi Deng

collaborators

3 papers

math.AP2025

Sharp bilinear eigenfunction estimate, $L_{x_{2}}^{\infty} L_{t, x_{1}}^{p}$ -type Strichartz estimate, and energy-critical NLS

Yangkendi Deng, Yunfeng Zhang, Zehua Zhao

We establish sharp bilinear eigenfunction estimates for the Laplace-Beltrami operator on the standard three-sphere $S^{3}$ , eliminating the logarithmic loss that has persist…

math.AP2025

Sharp $L^{4}$ Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on $R \times T$

Yangkendi Deng, Chenjie Fan, Zehua Zhao

We prove the sharp $L^{4}$ Strichartz estimate without derivative loss for the hyperbolic SchrÃ¶dinger equation on $R \times T$ , \begin{equation} \|e^{it (\partial_{x…

math.AP2025

On restricted-type Strichartz estimates and the applications

Yangkendi Deng, Han Wang, Yuzhao Wang +1

We establish a rigorous framework for the Zakharov system on waveguide manifolds $R^{m} \times T^{n}$ ( $m, n \geq 1$ ), which models the nonlinear coupling between optic…

Sharp bilinear eigenfunction estimate, Lx2​∞​Lt,x1​p​-type Strichartz estimate, and energy-critical NLS

Sharp L4 Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on R×T

On restricted-type Strichartz estimates and the applications

Sharp bilinear eigenfunction estimate, $L_{x_{2}}^{\infty} L_{t, x_{1}}^{p}$ -type Strichartz estimate, and energy-critical NLS

Sharp $L^{4}$ Strichartz estimate for Hyperbolic SchrÃ¶dinger equation on $R \times T$