## Stefanov, Atanas G.

Compute Distance To:
 Author ID: stefanov.atanas-g Published as: Stefanov, Atanas; Stefanov, Atanas G.; Stefanov, A. more...less
 Documents Indexed: 79 Publications since 1998 1 Further Contribution Co-Authors: 30 Co-Authors with 64 Joint Publications 945 Co-Co-Authors
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### Co-Authors

 14 single-authored 25 Stanislavova, Milena 11 Hakkaev, Sevdzhan A. 11 Kevrekidis, Panayotis G. 4 Hadadifard, Fazel 4 Oh, Seungly 4 Pelinovsky, Dmitry Efimovich 3 Demirkaya, Aslihan 3 Georgiev, Vladimir S. 3 Ramadan, Abba Ibrahim 2 Grafakos, Loukas 2 Kapitula, Todd M. 2 Nahmod, Andrea R. 2 Posukhovskyi, Iurii 2 Tarulli, Mirko 2 Uhlenbeck, Karen Keskulla 2 Xu, Haitao 1 Comech, Andrew 1 Drossinos, Yannis 1 Espínola-Rocha, J. Adrián 1 Feng, Jin 1 Feng, Wen 1 Hajaiej, Hichem 1 Isom, Bradley 1 Mantzavinos, Dionyssios 1 Naibo, Virginia 1 Phan, Tuoc Van 1 Shen, Yannan 1 Świȩch, Andrzej 1 Torres, Rodolfo H. 1 Wang, Bixiang 1 Wright, J. Douglas 1 Wu, Jiahong
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### Serials

 6 Discrete and Continuous Dynamical Systems 4 Journal of Mathematical Physics 4 Journal of Differential Equations 4 Studies in Applied Mathematics 4 Physica D 3 Nonlinearity 3 Journal of Nonlinear Science 3 Journal of Evolution Equations 2 Communications in Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Differential and Integral Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 SIAM Journal on Mathematical Analysis 2 The Journal of Fourier Analysis and Applications 2 Journal of Hyperbolic Differential Equations 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Letters in Mathematical Physics 1 Physics Letters. A 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Mathematische Annalen 1 Quarterly of Applied Mathematics 1 Bulgarian Journal of Physics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Applied Mathematics 1 Journal of Dynamics and Differential Equations 1 Communications in Analysis and Geometry 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of Mathematical Fluid Mechanics 1 Communications on Pure and Applied Analysis 1 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Sciences 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis and Mathematical Physics
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### Fields

 73 Partial differential equations (35-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Fluid mechanics (76-XX) 9 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Quantum theory (81-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

64 Publications have been cited 607 times in 491 Documents Cited by Year
$$L^p$$ bounds for singular integrals and maximal singular integrals with rough kernels. Zbl 0913.42014
Grafakos, Loukas; Stefanov, Atanas
1998
On Schrödinger maps. Zbl 1028.58018
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations. Zbl 1181.35266
Stefanov, Atanas; Kevrekidis, Panayotis G.
2005
Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on $$\mathbb R^3$$. Zbl 1160.35354
Stanislavova, Milena; Stefanov, Atanas; Wang, Bixiang
2005
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Well-posedness and small data scattering for the generalized Ostrovsky equation. Zbl 1202.35259
Stefanov, Atanas; Shen, Yannan; Kevrekidis, P. G.
2010
Calderón-Zygmund operators on mixed Lebesgue spaces and applications to null forms. Zbl 1077.42012
Stefanov, Atanas; Torres, Rodolfo H.
2004
Convolution Calderón-Zygmund singular integral operators with rough kernels. Zbl 0916.42010
Grafakos, L.; Stefanov, A.
1999
A Hamiltonian-Krein (Instability) index theory for solitary waves to KdV-like eigenvalue problems. Zbl 1288.35422
Kapitula, Todd; Stefanov, Atanas
2014
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336
Pelinovsky, D. E.; Stefanov, A.
2008
Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077
Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko
2007
A global regularity result for the 2D Boussinesq equations with critical dissipation. Zbl 1420.35263
Stefanov, Atanas; Wu, Jiahong
2019
On the existence of solitary traveling waves for generalized Hertzian chains. Zbl 1266.37044
Stefanov, Atanas; Kevrekidis, Panayotis
2012
Improved local well-posedness for the periodic “good” Boussinesq equation. Zbl 1290.35206
Oh, Seungly; Stefanov, Atanas
2013
Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083
Pelinovsky, Dmitry E.; Stefanov, Atanas
2012
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2009
Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007
Xu, H.; Kevrekidis, P. G.; Stefanov, A.
2015
Linear stability analysis for travelling waves of second order in time PDE’s. Zbl 1259.35032
Stanislavova, Milena; Stefanov, Atanas
2012
Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083
Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas
2017
Strichartz estimates for the magnetic Schrödinger equation. Zbl 1121.35023
Stefanov, Atanas
2007
On some Schrödinger and wave equations with time dependent potentials. Zbl 1357.35254
Naibo, Virginia; Stefanov, Atanas
2006
Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083
Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao
2016
Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case. Zbl 1286.35033
Stanislavova, Milena; Stefanov, Atanas
2013
Traveling waves for monomer chains with precompression. Zbl 1323.37049
Stefanov, Atanas; Kevrekidis, Panayotis
2013
Transverse instability for periodic waves of KP-I and Schroedinger equations. Zbl 1273.35045
Stefanov, Atanas; Stanislavova, Milena; Hakkaev, Zevdzhan
2012
On the normalized ground states of second order PDE’s with mixed power non-linearities. Zbl 1421.35067
Stefanov, Atanas
2019
Attractors for the viscous Camassa-Holm equation. Zbl 1387.35502
Stanislavova, Milena; Stefanov, Atanas
2007
On the global regularity of the 2D critical Boussinesq system with $$\alpha > 2/3$$. Zbl 1390.35270
2017
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models. Zbl 1373.35246
Hakkaev, S.; Stanislavova, M.; Stefanov, A.
2017
On global finite energy solutions of the Camassa-Holm equation. Zbl 1175.35129
Stanislavova, Milena; Stefanov, Atanas
2005
Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures (with Appendix B by Atanas Stefanov). Zbl 1319.35293
Feng, Jin; Świȩch, Andrzej
2013
On the spectral stability of kinks in some $$\mathcal{PT}$$-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
2014
Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. Zbl 1361.35038
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2017
On the spectral problem $$\mathcal{L}u=\lambda u'$$ and applications. Zbl 1427.47010
Stanislavova, Milena; Stefanov, Atanas
2016
On quadratic derivative Schrödinger equations in one space dimension. Zbl 1119.35090
Stefanov, Atanas
2007
Strichartz estimates for the Schrödinger equation with radial data. Zbl 1009.35016
Stefanov, Atanas
2001
Pseudodifferential operators with rough symbols. Zbl 1190.47056
Stefanov, Atanas
2010
Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein-Gordon-Zakharov system. Zbl 1293.35243
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2014
Weak type estimates for certain Calderón–Zygmund singular integral operators. Zbl 0987.42018
Stefanov, Atanas
2001
Characterizations of $$H^1$$ and applications to singular integrals. Zbl 0963.42016
Stefanov, Atanas
2000
On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147
2018
On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion. Zbl 1393.35270
Feng, Wen; Stanislavova, Milena; Stefanov, Atanas
2018
Nonlinearity management in higher dimensions. Zbl 1274.35361
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2006
Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models. Zbl 1257.35040
Stanislavova, Milena; Stefanov, Atanas
2011
On quadratic Schrödinger equations in $$\mathbf R^{1+1}$$: a normal form approach. Zbl 1256.35139
Oh, Seungly; Stefanov, Atanas
2012
Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides. Zbl 1402.78020
Stanislavova, Milena; Stefanov, Atanas G.
2018
Stability of periodic waves for the fractional KdV and NLS equations. Zbl 1475.35320
Hakkaev, Sevdzhan; Stefanov, Atanas G.
2021
Spectral stability for subsonic traveling pulses of the Boussinesq “abc” system. Zbl 1282.35119
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
Global regularity for Yang-Mills fields in $$\mathbb R^{1+5}$$. Zbl 1209.58013
Stefanov, Atanas
2010
On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations. Zbl 1180.37116
Stanislavova, Milena; Stefanov, Atanas
2009
Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation. Zbl 1270.35082
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system. Zbl 1428.35396
2019
Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space. Zbl 1133.35081
Stefanov, Atanas
2007
Small amplitude traveling waves in the full-dispersion Whitham equation. Zbl 1436.34018
Stefanov, Atanas; Wright, J. Douglas
2020
On the normalized ground states for the Kawahara equation and a fourth order NLS. Zbl 1435.35357
Posukhovskyi, Iurii; Stefanov, Atanas G.
2020
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2021
On the stability of standing waves for $$\mathcal {PT}$$ symmetric Schrödinger and Klein-Gordon equations in higher space dimensions. Zbl 1406.35047
Stanislavova, Milena; Stefanov, Atanas
2017
On the spectral stability of periodic waves of the Klein-Gordon equation. Zbl 1340.35209
Demirkaya, Aslihan; Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2015
Global regularity for the minimal surface equation in Minkowskian geometry. Zbl 1229.35143
Stefanov, Atanas
2011
Dynamical barrier for the formation of solitary waves in discrete lattices. Zbl 1220.82133
Kevrekidis, P. G.; Espinola-Rocha, J. A.; Drossinos, Y.; Stefanov, A.
2008
On first-order perturbations of the Schrödinger equation with conjugation. Zbl 1200.35237
Stefanov, Atanas
2005
Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation. Zbl 1190.35045
Stanislavova, Milena; Stefanov, Atanas
2009
On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides. Zbl 1412.35307
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas G.
2019
Sharp relaxation rates for plane waves of general reaction-diffusion models. Zbl 1442.35209
2020
Stability of periodic waves for the fractional KdV and NLS equations. Zbl 1475.35320
Hakkaev, Sevdzhan; Stefanov, Atanas G.
2021
On the stability of periodic waves for the cubic derivative NLS and the quintic NLS. Zbl 1462.35353
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2021
Small amplitude traveling waves in the full-dispersion Whitham equation. Zbl 1436.34018
Stefanov, Atanas; Wright, J. Douglas
2020
On the normalized ground states for the Kawahara equation and a fourth order NLS. Zbl 1435.35357
Posukhovskyi, Iurii; Stefanov, Atanas G.
2020
Sharp relaxation rates for plane waves of general reaction-diffusion models. Zbl 1442.35209
2020
A global regularity result for the 2D Boussinesq equations with critical dissipation. Zbl 1420.35263
Stefanov, Atanas; Wu, Jiahong
2019
On the normalized ground states of second order PDE’s with mixed power non-linearities. Zbl 1421.35067
Stefanov, Atanas
2019
On the sharp time decay rates for the 2D generalized quasi-geostrophic equation and the Boussinesq system. Zbl 1428.35396
2019
On the generation of stable Kerr frequency combs in the Lugiato-Lefever model of periodic optical waveguides. Zbl 1412.35307
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas G.
2019
On the classification of the spectrally stable standing waves of the Hartree problem. Zbl 1390.81147
2018
On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion. Zbl 1393.35270
Feng, Wen; Stanislavova, Milena; Stefanov, Atanas
2018
Asymptotic stability for spectrally stable Lugiato-Lefever solitons in periodic waveguides. Zbl 1402.78020
Stanislavova, Milena; Stefanov, Atanas G.
2018
Asymptotic stability of solitary waves in generalized Gross-Neveu model. Zbl 1357.35083
Comech, Andrew; Phan, Tuoc Van; Stefanov, Atanas
2017
On the global regularity of the 2D critical Boussinesq system with $$\alpha > 2/3$$. Zbl 1390.35270
2017
Spectral stability for classical periodic waves of the Ostrovsky and short pulse models. Zbl 1373.35246
Hakkaev, S.; Stanislavova, M.; Stefanov, A.
2017
Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. Zbl 1361.35038
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2017
On the stability of standing waves for $$\mathcal {PT}$$ symmetric Schrödinger and Klein-Gordon equations in higher space dimensions. Zbl 1406.35047
Stanislavova, Milena; Stefanov, Atanas
2017
Traveling waves for the mass in mass model of granular chains. Zbl 1345.37083
Kevrekidis, Panayotis G.; Stefanov, Atanas G.; Xu, Haitao
2016
On the spectral problem $$\mathcal{L}u=\lambda u'$$ and applications. Zbl 1427.47010
Stanislavova, Milena; Stefanov, Atanas
2016
Traveling waves and their tails in locally resonant granular systems. Zbl 1312.74007
Xu, H.; Kevrekidis, P. G.; Stefanov, A.
2015
On the spectral stability of periodic waves of the Klein-Gordon equation. Zbl 1340.35209
Demirkaya, Aslihan; Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2015
A Hamiltonian-Krein (Instability) index theory for solitary waves to KdV-like eigenvalue problems. Zbl 1288.35422
Kapitula, Todd; Stefanov, Atanas
2014
On the spectral stability of kinks in some $$\mathcal{PT}$$-symmetric variants of the classical Klein-Gordon field theories. Zbl 1304.35608
Demirkaya, A.; Kapitula, T.; Kevrekidis, P. G.; Stanislavova, M.; Stefanov, A.
2014
Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein-Gordon-Zakharov system. Zbl 1293.35243
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2014
Improved local well-posedness for the periodic “good” Boussinesq equation. Zbl 1290.35206
Oh, Seungly; Stefanov, Atanas
2013
Spectral stability analysis for special solutions of second order in time PDEs: the higher-dimensional case. Zbl 1286.35033
Stanislavova, Milena; Stefanov, Atanas
2013
Traveling waves for monomer chains with precompression. Zbl 1323.37049
Stefanov, Atanas; Kevrekidis, Panayotis
2013
Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures (with Appendix B by Atanas Stefanov). Zbl 1319.35293
Feng, Jin; Świȩch, Andrzej
2013
Spectral stability for subsonic traveling pulses of the Boussinesq “abc” system. Zbl 1282.35119
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation. Zbl 1270.35082
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas
2013
On the existence of solitary traveling waves for generalized Hertzian chains. Zbl 1266.37044
Stefanov, Atanas; Kevrekidis, Panayotis
2012
Asymptotic stability of small gap solitons in nonlinear Dirac equations. Zbl 1279.35083
Pelinovsky, Dmitry E.; Stefanov, Atanas
2012
Linear stability analysis for travelling waves of second order in time PDE’s. Zbl 1259.35032
Stanislavova, Milena; Stefanov, Atanas
2012
Transverse instability for periodic waves of KP-I and Schroedinger equations. Zbl 1273.35045
Stefanov, Atanas; Stanislavova, Milena; Hakkaev, Zevdzhan
2012
On quadratic Schrödinger equations in $$\mathbf R^{1+1}$$: a normal form approach. Zbl 1256.35139
Oh, Seungly; Stefanov, Atanas
2012
Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models. Zbl 1257.35040
Stanislavova, Milena; Stefanov, Atanas
2011
Global regularity for the minimal surface equation in Minkowskian geometry. Zbl 1229.35143
Stefanov, Atanas
2011
Well-posedness and small data scattering for the generalized Ostrovsky equation. Zbl 1202.35259
Stefanov, Atanas; Shen, Yannan; Kevrekidis, P. G.
2010
Pseudodifferential operators with rough symbols. Zbl 1190.47056
Stefanov, Atanas
2010
Global regularity for Yang-Mills fields in $$\mathbb R^{1+5}$$. Zbl 1209.58013
Stefanov, Atanas
2010
Asymptotic stability of small bound states in the discrete nonlinear Schrödinger equation. Zbl 1197.35270
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2009
On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations. Zbl 1180.37116
Stanislavova, Milena; Stefanov, Atanas
2009
Effective estimates of the higher Sobolev norms for the Kuramoto-Sivashinsky equation. Zbl 1190.35045
Stanislavova, Milena; Stefanov, Atanas
2009
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension. Zbl 1159.81336
Pelinovsky, D. E.; Stefanov, A.
2008
Dynamical barrier for the formation of solitary waves in discrete lattices. Zbl 1220.82133
Kevrekidis, P. G.; Espinola-Rocha, J. A.; Drossinos, Y.; Stefanov, A.
2008
Smoothing-Strichartz estimates for the Schrödinger equation with small magnetic potential. Zbl 1125.35077
Georgiev, Vladimir; Stefanov, Atanas; Tarulli, Mirko
2007
Strichartz estimates for the magnetic Schrödinger equation. Zbl 1121.35023
Stefanov, Atanas
2007
Attractors for the viscous Camassa-Holm equation. Zbl 1387.35502
Stanislavova, Milena; Stefanov, Atanas
2007
On quadratic derivative Schrödinger equations in one space dimension. Zbl 1119.35090
Stefanov, Atanas
2007
Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space. Zbl 1133.35081
Stefanov, Atanas
2007
On some Schrödinger and wave equations with time dependent potentials. Zbl 1357.35254
Naibo, Virginia; Stefanov, Atanas
2006
Nonlinearity management in higher dimensions. Zbl 1274.35361
Kevrekidis, P. G.; Pelinovsky, D. E.; Stefanov, A.
2006
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations. Zbl 1181.35266
Stefanov, Atanas; Kevrekidis, Panayotis G.
2005
Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on $$\mathbb R^3$$. Zbl 1160.35354
Stanislavova, Milena; Stefanov, Atanas; Wang, Bixiang
2005
On global finite energy solutions of the Camassa-Holm equation. Zbl 1175.35129
Stanislavova, Milena; Stefanov, Atanas
2005
On first-order perturbations of the Schrödinger equation with conjugation. Zbl 1200.35237
Stefanov, Atanas
2005
Calderón-Zygmund operators on mixed Lebesgue spaces and applications to null forms. Zbl 1077.42012
Stefanov, Atanas; Torres, Rodolfo H.
2004
On Schrödinger maps. Zbl 1028.58018
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
On the well-posedness of the wave map problem in high dimensions. Zbl 1085.58022
Nahmod, Andrea; Stefanov, Atanas; Uhlenbeck, Karen
2003
Strichartz estimates for the Schrödinger equation with radial data. Zbl 1009.35016
Stefanov, Atanas
2001
Weak type estimates for certain Calderón–Zygmund singular integral operators. Zbl 0987.42018
Stefanov, Atanas
2001
Characterizations of $$H^1$$ and applications to singular integrals. Zbl 0963.42016
Stefanov, Atanas
2000
Convolution Calderón-Zygmund singular integral operators with rough kernels. Zbl 0916.42010
Grafakos, L.; Stefanov, A.
1999
$$L^p$$ bounds for singular integrals and maximal singular integrals with rough kernels. Zbl 0913.42014
Grafakos, Loukas; Stefanov, Atanas
1998
all top 5

### Cited by 607 Authors

 24 Stefanov, Atanas G. 18 Pelinovsky, Dmitry Efimovich 14 Kevrekidis, Panayotis G. 14 Liu, Feng 13 Ding, Yong 11 Stanislavova, Milena 11 Wu, Huoxiong 8 Wu, Jiahong 7 Chen, Jiecheng 7 Chen, Yanping 7 Comech, Andrew 7 Erdoğan, Mehmet Burak 7 Fan, Dashan 7 Fanelli, Luca 7 Xue, Qingying 7 Yabuta, Kôzô 6 Cuccagna, Scipio 6 Hayashi, Nakao 6 Maeda, Masaya 6 Naumkin, Pavel Ivanovich 6 Sun, Wenchang 6 Tataru, Daniel 6 Wang, Ming 5 Bejenaru, Ioan 5 Coclite, Giuseppe Maria 5 Demirkaya, Aslihan 5 Di Ruvo, Lorenzo 5 Donninger, Roland 5 Green, William R. 5 Haragus, Mariana 5 Honzík, Petr 5 Kopylova, Elena A. 5 Liu, Ronghui 5 Zhang, Chunjie 4 Boussaid, Nabile 4 Chiang, Yuanjen 4 Erkip, Albert Kohen 4 Georgiev, Vladimir S. 4 Goldberg, Michael Joseph 4 Hakkaev, Sevdzhan A. 4 Hu, Guoen 4 James, Guillaume 4 Kapitula, Todd M. 4 Kenig, Carlos Eduardo 4 Krieger, Joachim 4 Lustri, Christopher J. 4 Tang, Yanbin 4 Tarulli, Mirko 4 Vainchtein, Anna 4 Zhang, Daiqing 4 Zhu, Chaosheng 3 Al-Salman, Ahmad 3 Alves, Claudianor Oliveira 3 Bambusi, Dario 3 Borisov, Denis Ivanovich 3 Chen, Ting 3 Cordero-Soto, Ricardo 3 Dong, Boqing 3 Erbay, Husnuata A. 3 Erbay, Saadet 3 Geyer, Anna 3 Grafakos, Loukas 3 Guo, Boling 3 Hadadifard, Fazel 3 Hong, Younghun 3 Huh, Hyungjin 3 Ignat, Liviu I. 3 Ionescu, Alexandru D. 3 Johnson, Mathew A. 3 Li, Ran 3 Li, Shenghao 3 Li, Yangrong 3 Marangell, Robert 3 Natali, Fábio M. Amorin 3 Niizato, Tomoyuki 3 Pan, Yibiao 3 Porter, Mason Alexander 3 Ryabogin, Dmitry 3 Sterbenz, Jacob 3 Su, Chunmei 3 Suslov, Sergei K. 3 Suzuki, Akito 3 Taira, Kouichi 3 Teschl, Gerald 3 Wang, Bixiang 3 Wang, Cheng 3 Wang, Renhai 3 Wright, J. Douglas 3 Xu, Haitao 3 Yang, Changhun 3 Yang, Dachun 3 Zeng, Chongchun 3 Zhang, Bingyu 3 Zhong, Penghong 2 Antonić, Nenad 2 Bernal-Vílchis, Fernando 2 Bronski, Jared C. 2 Chae, Dongho 2 Chen, Daning 2 Cheng, Leslie C. ...and 507 more Authors
all top 5

### Cited in 156 Serials

 37 Journal of Mathematical Analysis and Applications 24 Journal of Differential Equations 19 Communications in Mathematical Physics 17 Physica D 14 Discrete and Continuous Dynamical Systems 13 Journal of Mathematical Physics 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Journal of Functional Analysis 10 Communications in Partial Differential Equations 9 Proceedings of the American Mathematical Society 8 Applicable Analysis 8 Transactions of the American Mathematical Society 8 The Journal of Geometric Analysis 8 SIAM Journal on Mathematical Analysis 8 Journal of Nonlinear Science 6 Advances in Mathematics 6 Journal of Dynamics and Differential Equations 6 Calculus of Variations and Partial Differential Equations 6 The Journal of Fourier Analysis and Applications 6 Acta Mathematica Sinica. English Series 6 Discrete and Continuous Dynamical Systems. Series B 6 Communications on Pure and Applied Analysis 6 Science China. Mathematics 5 Communications on Pure and Applied Mathematics 5 Nonlinearity 5 Applied Mathematics. Series B (English Edition) 5 Journal of Inequalities and Applications 4 Archive for Rational Mechanics and Analysis 4 Letters in Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Mathematics Letters 4 Abstract and Applied Analysis 4 Journal of Mathematical Fluid Mechanics 4 Journal of Evolution Equations 3 Mathematical Methods in the Applied Sciences 3 Theoretical and Mathematical Physics 3 Mathematische Nachrichten 3 Mathematische Zeitschrift 3 Memoirs of the American Mathematical Society 3 Monatshefte für Mathematik 3 Studies in Applied Mathematics 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of the European Mathematical Society (JEMS) 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Hyperbolic Differential Equations 3 Boundary Value Problems 3 Communications in Mathematical Analysis 3 Frontiers of Mathematics in China 3 Journal of Spectral Theory 3 Journal of Function Spaces 2 Journal of Computational Physics 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Integral Equations and Operator Theory 2 Mathematische Annalen 2 Tohoku Mathematical Journal. Second Series 2 Bulletin of the Korean Mathematical Society 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 Journal of Integral Equations and Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Topological Methods in Nonlinear Analysis 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Mathematical Inequalities & Applications 2 Annales Henri Poincaré 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Mathematical Modelling of Natural Phenomena 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Water Waves 1 Modern Physics Letters A 1 Analysis Mathematica 1 Astrophysics and Space Science 1 Computers & Mathematics with Applications 1 Journal of Fluid Mechanics 1 Physics Letters. A 1 Physics Reports 1 Russian Mathematical Surveys 1 Wave Motion 1 Annales Polonici Mathematici 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Collectanea Mathematica 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik ...and 56 more Serials
all top 5

### Cited in 37 Fields

 356 Partial differential equations (35-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 58 Dynamical systems and ergodic theory (37-XX) 56 Operator theory (47-XX) 56 Fluid mechanics (76-XX) 52 Quantum theory (81-XX) 26 Global analysis, analysis on manifolds (58-XX) 24 Ordinary differential equations (34-XX) 23 Functional analysis (46-XX) 23 Numerical analysis (65-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Mechanics of deformable solids (74-XX) 16 Optics, electromagnetic theory (78-XX) 15 Difference and functional equations (39-XX) 12 Real functions (26-XX) 12 Differential geometry (53-XX) 10 Mechanics of particles and systems (70-XX) 9 Probability theory and stochastic processes (60-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Geophysics (86-XX) 4 Functions of a complex variable (30-XX) 4 Integral equations (45-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX)