Mehmet Burak Erdogan

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2019

Dispersive estimates for dirac operators in dimension three with obstructions at threshold energies

Burak Erdoğan, M., Green, W. R. & Toprak, E., Oct 2019, In : American Journal of Mathematics. 141, 5, p. 1217-1258 42 p.

Research output: Contribution to journalArticle

Fractal solutions of dispersive partial differential equations on the torus

Erdoğan, M. B. & Shakan, G., Mar 1 2019, In : Selecta Mathematica, New Series. 25, 1, 11.

Research output: Contribution to journalArticle

Limiting Absorption Principle and Strichartz Estimates for Dirac Operators in Two and Higher Dimensions

Burak Erdoğan, M., Goldberg, M. & Green, W. R., Apr 1 2019, In : Communications in Mathematical Physics. 367, 1, p. 241-263 23 p.

Research output: Contribution to journalArticle

Smoothing for the fractional Schrödinger equation on the torus and the real line

Erdogan, M. B., Gürel, T. B. & Tzirakis, N., 2019, In : Indiana University Mathematics Journal. 68, 2, p. 369-392 24 p.

Research output: Contribution to journalArticle

2018

Dispersive estimates for massive Dirac operators in dimension two

Erdoğan, M. B., Green, W. R. & Toprak, E., May 5 2018, In : Journal of Differential Equations. 264, 9, p. 5802-5837 36 p.

Research output: Contribution to journalArticle

On the Lp boundedness of wave operators for two-dimensional Schrödinger operators with threshold obstructions

Erdoğan, M. B., Goldberg, M. & Green, W. R., Apr 1 2018, In : Journal of Functional Analysis. 274, 7, p. 2139-2161 23 p.

Research output: Contribution to journalArticle

The derivative nonlinear Schrödinger equation on the half line

Erdoğan, M. B., Gürel, T. B. & Tzirakis, N., Nov 2018, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 35, 7, p. 1947-1973 27 p.

Research output: Contribution to journalArticle

2017

Regularity properties of the Zakharov system on the half line

Erdoğan, M. B. & Tzirakis, N., Jul 3 2017, In : Communications in Partial Differential Equations. 42, 7, p. 1121-1149 29 p.

Research output: Contribution to journalArticle

The Dirac Equation in Two Dimensions: Dispersive Estimates and Classification of Threshold Obstructions

Erdoğan, M. B. & Green, W. R., Jun 1 2017, In : Communications in Mathematical Physics. 352, 2, p. 719-757 39 p.

Research output: Contribution to journalArticle

2016

Regularity properties of the cubic nonlinear Schrödinger equation on the half line

Erdoğan, M. B. & Tzirakis, N., Nov 1 2016, In : Journal of Functional Analysis. 271, 9, p. 2539-2568 30 p.

Research output: Contribution to journalArticle

2015

Fractal solutions of linear and nonlinear dispersive partial differential equations

Chousionis, V., Erdoʇan, M. B. & Tzirakis, N., Jan 1 2015, In : Proceedings of the London Mathematical Society. 110, 3, p. 543-564 22 p.

Research output: Contribution to journalArticle

The structure of global attractors for dissipative Zakharov systems with forcing on the torus

Erdoʇan, M. B., Marzuola, J. L., Newhall, K. & Tzirakis, N., Jan 1 2015, In : SIAM Journal on Applied Dynamical Systems. 14, 4, p. 1978-1990 13 p.

Research output: Contribution to journalArticle

2014

Dispersive Estimates for Four Dimensional Schrödinger and Wave Equations with Obstructions at Zero Energy

Erdoǧan, M. B., Goldberg, M. & Green, W. R., Oct 2014, In : Communications in Partial Differential Equations. 39, 10, p. 1936-1964 29 p.

Research output: Contribution to journalArticle

2013

A Weighted Dispersive Estimate for Schrödinger Operators in Dimension Two

Erdoǧan, M. B. & Green, W. R., Jan 1 2013, In : Communications in Mathematical Physics. 319, 3, p. 791-811 21 p.

Research output: Contribution to journalArticle

Dispersive estimates for matrix schrödinger operators in dimension two

Erdoǧan, M. B. & Green, W. R., Oct 1 2013, In : Discrete and Continuous Dynamical Systems- Series A. 33, 10, p. 4473-4495 23 p.

Research output: Contribution to journalArticle

Dispersive estimates for Schrödinger operators in dimension two with obstructions at zero energy

Erdoǧan, M. B. & Green, W. R., Oct 2 2013, In : Transactions of the American Mathematical Society. 365, 12, p. 6403-6440 38 p.

Research output: Contribution to journalArticle

Global smoothing for the periodic KdV evolution

Erdoǧan, M. B. & Tzirakis, N., Oct 24 2013, In : International Mathematics Research Notices. 2013, 20, p. 4589-4614 26 p.

Research output: Contribution to journalArticle

Long time dynamics for forced and weakly damped KdV on the torus

Erdoǧan, M. B. & Tzirakis, N., Nov 1 2013, In : Communications on Pure and Applied Analysis. 12, 6, p. 2669-2684 16 p.

Research output: Contribution to journalArticle

Restricting fourier transforms of measures to curves in R2

Erdoǧan, M. B. & Oberlin, D. M., Jun 1 2013, In : Canadian Mathematical Bulletin. 56, 2, p. 326-336 11 p.

Research output: Contribution to journalArticle

Smoothing and global attractors for the Zakharov system on the torus

Erdoǧan, M. B. & Tzirakis, N., Aug 27 2013, In : Analysis and PDE. 6, 3, p. 723-750 28 p.

Research output: Contribution to journalArticle

Talbot effect for the cubic non-linear Schrödinger equation on the torus

Erdoǧan, M. B. & Tzirakis, N., 2013, In : Mathematical Research Letters. 20, 6, p. 1081-1090 10 p.

Research output: Contribution to journalArticle

2012

High frequency perturbation of cnoidal waves in KdV

Erdog̈an, M. B., Tzirakis, N. & Zharnitsky, V., Dec 31 2012, In : SIAM Journal on Mathematical Analysis. 44, 6, p. 4147-4164 18 p.

Research output: Contribution to journalArticle

Pinned distance sets, k-simplices, Wolff's exponent in finite fields and sum-product estimates

Chapman, J., Erdoǧan, B. B., Hart, D., Iosevich, A. & Koh, D., Jun 1 2012, In : Mathematische Zeitschrift. 271, 1-2, p. 63-93 31 p.

Research output: Contribution to journalArticle

2011

Exponential decay of dispersion managed solitons for vanishing average dispersion

Erdoǧan, M. B., Hundertmark, D. & Lee, Y. R., Jan 2011, In : Mathematical Research Letters. 18, 1, p. 11-24 14 p.

Research output: Contribution to journalArticle

Nearly linear dynamics of nonlinear dispersive waves

Erdoǧan, M. B., Tzirakis, N. & Zharnitsky, V., Aug 15 2011, In : Physica D: Nonlinear Phenomena. 240, 17, p. 1325-1333 9 p.

Research output: Contribution to journalArticle

2010

Dispersive estimates for the Schrödinger equation for C n-3/2 potentials in odd dimensions

Erdoǧan, M. B. & Green, W. R., Dec 1 2010, In : International Mathematics Research Notices. 2010, 13, p. 2532-2565 34 p.

Research output: Contribution to journalArticle

Estimates for the X-ray transform restricted to 2-manifolds

Erdoǧan, M. B. & Oberlin, R., 2010, In : Revista Matematica Iberoamericana. 26, 1, p. 91-114 24 p.

Research output: Contribution to journalArticle

Near-linear dynamics in KdV with periodic boundary conditions

Erdoan, M. B., Tzirakis, N. & Zharnitsky, V., Jun 28 2010, In : Nonlinearity. 23, 7, p. 1675-1694 20 p.

Research output: Contribution to journalArticle

2009

Strichartz and smoothing estimates for Schrödinger operators with almost critical magnetic potentials in three and higher dimensions

Erdoǧan, M. B., Goldberg, M. & Schlag, W., Jul 1 2009, In : Forum Mathematicum. 21, 4, p. 687-722 36 p.

Research output: Contribution to journalArticle

2008

Mixed norm estimates for certain generalized radon transforms

Christ, M. & Erdoǧan, M. B., Oct 1 2008, In : Transactions of the American Mathematical Society. 360, 10, p. 5477-5488 12 p.

Research output: Contribution to journalArticle

Strichartz and smoothing estimates for Schrödinger operators with large magnetic potentials in ℝ 3

Erdoǧan, M. B., Goldberg, M. & Schlag, W., 2008, In : Journal of the European Mathematical Society. 10, 2, p. 507-531 25 p.

Research output: Contribution to journalArticle

2006

On Falconer's distance set conjecture

Erdog̈an, M. B., Jan 1 2006, In : Revista Matematica Iberoamericana. 22, 2, p. 649-662 14 p.

Research output: Contribution to journalArticle

2005

A bilinear fourier extension theorem and applications to the distance set problem

Erdog̃an, M. B., May 12 2005, In : International Mathematics Research Notices. 23, p. 1411-1425 15 p.

Research output: Contribution to journalArticle

2004

A note on the fourier transform of fractal measures

Erdogan, M. B., Mar 2004, In : Mathematical Research Letters. 11, 2-3, p. 299-313 15 p.

Research output: Contribution to journalArticle

2003

Energy Growth in Schrödinger's Equation with Markovian Forcing

Burak Erdog̃an, M., Killip, R. & Schlag, W., Sep 1 2003, In : Communications in Mathematical Physics. 240, 1-2, p. 1-29 29 p.

Research output: Contribution to journalArticle

Mapping properties of the elliptic maximal function

Erdoǧan, M. B., Jan 1 2003, In : Revista Matematica Iberoamericana. 19, 1, p. 221-234 14 p.

Research output: Contribution to journalArticle

2002

Mixed norm estimates for a restricted X-ray transform

Christ, M. & Erdogan, M. B., Jan 1 2002, In : Journal d'Analyse Mathematique. 87, p. 187-198 12 p.

Research output: Contribution to journalArticle

2001
1999
1998

Analytic and Asymptotic Properties of Generalized Linnik Probability Densities

Erdogan, M. B. & Ostrovskii, I. V., Jan 15 1998, In : Journal of Mathematical Analysis and Applications. 217, 2, p. 555-578 24 p.

Research output: Contribution to journalArticle

On mixture representation of the Linnik density

Erdogan, M. B. & Ostrovskii, I. V., Jun 1 1998, In : Journal of the Australian Mathematical Society. 64, 3, p. 317-326 10 p.

Research output: Contribution to journalArticle

1997

Les distributions de Linnik non-symmétriques

Translated title of the contribution: Non-symmetric Linnik distributionsErdogan, M. B. & Ostrovskii, I. V., Sep 1997, In : Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 325, 5, p. 511-516 6 p.

Research output: Contribution to journalArticle