On pointwise convergence of the solutions to Schrödinger equations in ℛ2
By Sanghyuk Lee. 2006
153 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/bc8a65aeb3cfc46d87e6e795204241e7662d0956
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Xiumin Du
- Ruixiang Zhang
- Xiaochun Li
- Larry Guth
- Keith McKenzie Rogers
- Renato Lucà
- J. Hickman
- Jean Bourgain
In Mathematical Physics
- Xiumin Du
- Ruixiang Zhang
- Keith McKenzie Rogers
- Larry Guth
- Xiaochun Li
- Renato Lucà
- J. Hickman
- Jean Bourgain
Citations in the corpus
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES (2018, background): “[13] S. Lee, On pointwise convergence of the solutions to Schrödinger equations in R2, International Math.”
- Average decay of the Fourier transform of measures with applications (2015, background): “[26] S. Lee and K. M. Rogers, The Schrödinger equation along curves and the quantum harmonic oscillator, Adv.”
- A local smoothing estimate for the Schrödinger equation (2008, background): “A corollary of this and the generalised result of Lee [19], is that Corollary 4 also holds for the generalised Schrödinger equation; where |Dαφ(ξ)| C|ξ |2−|α| and |∇φ(ξ)| C−1|ξ |, and the Hessian of φ has two nonzero eigenvalues of the same sign.”
- On the dimension of divergence sets of dispersive equations (2011, unknown): “The following argument is similar to one employed by Tao and Vargas [31 ]( see also [ 15 ] and [19] for refinements).”
- A note on pointwise convergence for the Schrödinger equation (2017, unknown): “1) holds as long as s > 2n−1 4n ; see [12, 3].”
- Sharp L2 estimates of the Schrödinger maximal function in higher dimensions (2018, background): “The higher dimensional case has since been studied by several authors [7, 9, 29, 31, 2, 27, 30, 21, 3, 24, 11, 4, 25, 12, 13].”