# Nikolaos Pattakos' Web Page

### Contact Information

Department of Mathematics
Karlsruhe Institute of Technology
Germany
nikolaos.pattakos@gmail.com

### Mathematical Interests

I am a research fellow in Karlsruhe Institute of Technology, department of Mathematics. I did my PhD studies in Michigan State University under the supervision of professor Alexander Volberg and gratuated in November 2012. My research interests lie in harmonic analysis, weighted estimates, Bellman functions and Partial Differential Equations. For a copy of my CV please send me an email. Thank you.

### Recent papers

1. N. Pattakos and A. Volberg, Continuity of weighted estimates in A_{p} norm, (submitted December 2010, Proc. Amer. Math. Soc. 140 (2012), 2783-2790)

Continuity of weighted estimates in A_{p} norm

2. N. Pattakos and A. Volberg, A new weighted Bellman function (submitted May 2011, C. R. Acad. Sci. Paris, Ser. I 349 (2011) 1151-1154)

A new weighted Bellman function

3. N. Pattakos and A. Volberg, The Muckenhoupt A_\infty class as a metric space and continuity of weighted estimates, (submitted October 2011, Math. Res. Lett. 19 (2012), no. 02, 499-510)

The Muckenhoupt A\infty class as a metric space and continuity of weighted estimates

4. N. Boros, N. Pattakos and A. Volberg, Some remarks on extrapolation with flat" weights, (arXiv:1204.3963v1, April 2012)

Some remarks on extrapolation with flat" weights

5. M. Papadimitrakis and N. Pattakos, Continuity of weighted estimates for sublinear operators, (arXiv:1206.4580v1, June 2012, to appear in the Proceedings of the edinburgh mathematical society)

Continuity of weighted estimates for sublinear operators

6. N. Boros and N. Pattakos, Matrix weights, Littlewood Paley inequalities and the Riesz transforms , (arXiv:1303.7180v1)

Matrix weights, Littlewood Paley inequalities and the Riesz transforms

7. N. Bez, C. Jeavons and N. Pattakos, Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator , (Current Trends in Analysis and Its Applications, Proceedings of the 9th ISAAC Congress, Krakow, 2013)

Sharp Sobolev-Strichartz estimates for the free Schrodinger propagator

8. J. Bennett, N. Bez, C. Jeavons and N. Pattakos, On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type , (J. Math. Soc. Japan Vol.69, No.2 (2017) pp.459–476)

On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type

9. N. Pattakos, A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the A_{p} characteristic , (arXiv:1502.00435, 2015)

A dyadic analysis approach to the problem of continuity of weighted estimates with respect to the A_{p} characteristic

10. L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q} , (submitted 2016, J. Differential Equations 263 (2017), no. 8, 4429–4441.)

On existence of global solutions of the one-dimensional cubic NLS for initial data in the modulation space M_{p,q}

11. L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, Local well-posedness for the nonlinear Schrodinger equation in modulation spaces M^{s}_{p,q}, (arXiv:1610.08298, 2016)

Local well-posedness for the nonlinear Schrodinger equation in modulation spaces M^{s}_{p,q}

12. N. Pattakos, NLS in the modulation space M_{2,q}, (arXiv:1802.08274, 2018, and submitted to the Journal of Fourier Analysis and Applications)

NLS in the modulation space M_{2,q}

13. L. Chaichenets, D. Hundertmark, P. Kunstmann and N. Pattakos, Nonlinear Schrodinger equation, differentiation by parts and modulation spaces, (arXiv:1802.10464, 2018, and submitted to the Journal of Evolution Equations)

Nonlinear Schrodinger equation, differentiation by parts and modulation spaces

### Some Useful Notes

1. The Prime Number Theorem,

The Prime Number Theorem

2. Wilson's Theorem,

Wilson's Theorem

Last Update: 25/04/2018.