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Atanas Stefanov - Publications

Affiliations: 
Mathematics University of Kansas, Lawrence, KS, United States 
Area:
Mathematics
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43 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Posukhovskyi I, Stefanov A. On the ground states of the Ostrovskyi equation and their stability Studies in Applied Mathematics. 144: 548-575. DOI: 10.1111/Sapm.12309  0.335
2020 Hakkaev S, Stefanov AG. Stability of periodic waves for the fractional KdV and NLS equations Proceedings of the Royal Society of Edinburgh: Section a Mathematics. 151: 1171-1203. DOI: 10.1017/prm.2020.54  0.326
2020 Stefanov A, Wright JD. Small amplitude traveling waves in the full-dispersion Whitham equation Journal of Dynamics and Differential Equations. 32: 85-99. DOI: 10.1007/S10884-018-9713-8  0.408
2020 Stanislavova M, Stefanov AG. Ground states for the nonlinear Schrödinger equation under a general trapping potential Journal of Evolution Equations. 1-27. DOI: 10.1007/S00028-020-00596-9  0.303
2019 Stefanov A, Wu J. A global regularity result for the 2D Boussinesq equations with critical dissipation Journal D Analyse Mathematique. 137: 269-290. DOI: 10.1007/S11854-018-0073-4  0.354
2019 Stefanov A. On the Normalized Ground States of Second Order PDE’s with Mixed Power Non-linearities Communications in Mathematical Physics. 369: 929-971. DOI: 10.1007/S00220-019-03484-7  0.414
2018 Feng W, Stanislavova M, Stefanov A. On the spectral stability of ground states of semi-linear Schrödinger and Klein-Gordon equations with fractional dispersion Communications On Pure and Applied Analysis. 17: 1371-1385. DOI: 10.3934/Cpaa.2018067  0.427
2018 Georgiev V, Stefanov A. On the classification of the spectrally stable standing waves of the Hartree problem Physica D: Nonlinear Phenomena. 370: 29-39. DOI: 10.1016/J.Physd.2018.01.002  0.387
2017 Hakkaev S, Stanislavova M, Stefanov A. Spectral stability for classical periodic waves of the Ostrovsky and short pulse models Studies in Applied Mathematics. 139: 405-433. DOI: 10.1111/Sapm.12166  0.327
2016 Stanislavova M, Stefanov A. On the Spectral Problem Lu=λ′ and Applications Communications in Mathematical Physics. 343: 361-391. DOI: 10.1007/S00220-015-2542-2  0.375
2015 Xu H, Kevrekidis PG, Stefanov A. Traveling waves and their tails in locally resonant granular systems Journal of Physics a: Mathematical and Theoretical. 48. DOI: 10.1088/1751-8113/48/19/195204  0.362
2014 Demirkaya A, Kapitula T, Kevrekidis PG, Stanislavova M, Stefanov A. On the Spectral Stability of Kinks in Some PT-Symmetric Variants of the Classical Klein-Gordon Field Theories Studies in Applied Mathematics. 133: 298-317. DOI: 10.1111/Sapm.12053  0.326
2014 Kapitula T, Stefanov A. A Hamiltonian-Krein (Instability) index theory for solitary waves to KdV-Like eigenvalue problems Studies in Applied Mathematics. 132: 183-211. DOI: 10.1111/Sapm.12031  0.348
2014 Hakkaev S, Stanislavova M, Stefanov A. Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein-Gordon-Zakharov system Proceedings of the Royal Society of Edinburgh Section a: Mathematics. 144: 455-489. DOI: 10.1017/S0308210512000741  0.434
2014 Comech A, Phan TV, Stefanov A. Asymptotic stability of solitary waves in generalized Gross-Neveu model Annales De L'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. DOI: 10.1016/J.Anihpc.2015.11.001  0.452
2013 Demirkaya A, Frantzeskakis DJ, Kevrekidis PG, Saxena A, Stefanov A. Effects of parity-time symmetry in nonlinear Klein-Gordon models and their stationary kinks. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics. 88: 023203. PMID 24032958 DOI: 10.1103/Physreve.88.023203  0.384
2013 Stefanov A, Kevrekidis P. Traveling waves for monomer chains with precompression Nonlinearity. 26: 539-564. DOI: 10.1088/0951-7715/26/2/539  0.385
2013 Georgiev V, Stefanov A. Global Regularity for the Quadratic Klein-Gordon Equation in R1+2 Communications in Partial Differential Equations. 38: 1287-1312. DOI: 10.1080/03605302.2013.794835  0.392
2013 Stanislavova M, Stefanov A. Spectral stability analysis for special solutions of second order in time PDEs: The higher dimensional case Physica D: Nonlinear Phenomena. 262: 1-13. DOI: 10.1016/J.Physd.2013.06.014  0.447
2013 Oh S, Stefanov A. Improved local well-posedness for the periodic "good" Boussinesq equation Journal of Differential Equations. 254: 4047-4065. DOI: 10.1016/J.Jde.2013.02.006  0.361
2013 Hakkaev S, Stanislavova M, Stefanov A. Orbital stability for periodic standing waves of the Klein-Gordon-Zakharov system and the beam equation Zeitschrift Fur Angewandte Mathematik Und Physik. 64: 265-282. DOI: 10.1007/S00033-012-0228-6  0.398
2012 Hakkaev S, Stanislavova M, Stefanov A. Transverse instability for periodic waves of KP-I and schrödinger equations Indiana University Mathematics Journal. 61: 461-492. DOI: 10.1512/Iumj.2012.61.4558  0.401
2012 Oh S, Stefanov A. On quadratic Schrödinger equations in R 1+1: A normal form approach Journal of the London Mathematical Society. 86: 499-519. DOI: 10.1112/Jlms/Jds016  0.415
2012 Stanislavova M, Stefanov A. Linear stability analysis for travelling waves of second order in time PDE's Nonlinearity. 25: 2625-2654. DOI: 10.1088/0951-7715/25/9/2625  0.41
2012 Stefanov A, Kevrekidis P. On the existence of solitary traveling waves for generalized Hertzian chains Journal of Nonlinear Science. 22: 327-349. DOI: 10.1007/S00332-011-9119-9  0.373
2011 Stanislavova M, Stefanov A. Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models Journal of Evolution Equations. 11: 605-635. DOI: 10.1007/S00028-011-0103-5  0.412
2010 Stefanov A. On the Lipschitzness of the solution map for the 2 D Navier-Stokes system Discrete and Continuous Dynamical Systems. 26: 1471-1490. DOI: 10.3934/Dcds.2010.26.1471  0.302
2010 Stefanov A. Global regularity for Yang-Mills fields in R1+5 Journal of Hyperbolic Differential Equations. 7: 433-470. DOI: 10.1142/S0219891610002190  0.342
2010 Stefanov A, Shen Y, Kevrekidis PG. Well-posedness and small data scattering for the generalized Ostrovsky equation Journal of Differential Equations. 249: 2600-2617. DOI: 10.1016/J.Jde.2010.05.015  0.357
2009 Kevrekidis PG, Pelinovsky DE, Stefanov A. Asymptotic stability of small bound states in the discrete nonlinear schrodinger equation Siam Journal On Mathematical Analysis. 41: 2010-2030. DOI: 10.1137/080737654  0.409
2009 Stanislavova M, Stefanov A. On precise center stable manifold theorems for certain reaction-diffusion and Klein-Gordon equations Physica D: Nonlinear Phenomena. 238: 2298-2307. DOI: 10.1016/J.Physd.2009.09.010  0.373
2009 Stefanov A. Decay and Strichartz estimates for DNLS Springer Tracts in Modern Physics. 232: 401-412. DOI: 10.1007/978-3-540-89199-4_22  0.301
2007 Stanislavova M, Stefanov A. Attractors for the viscous Camassa-Holm equation Discrete and Continuous Dynamical Systems. 18: 159-186. DOI: 10.3934/Dcds.2007.18.159  0.374
2007 Georgiev V, Stefanov A, Tarulli M. Smoothing - Strichartz estimates for the schrödinger equation with small magnetic potential Discrete and Continuous Dynamical Systems. 17: 771-786. DOI: 10.3934/Dcds.2007.17.771  0.384
2007 Stefanov A. On quadratic derivative Schrödinger equations in one space dimension Transactions of the American Mathematical Society. 359: 3589-3607. DOI: 10.1090/S0002-9947-07-04207-9  0.307
2007 Stefanov A. Strichartz estimates for the magnetic Schrödinger equation Advances in Mathematics. 210: 246-303. DOI: 10.1016/J.Aim.2006.06.006  0.341
2006 Kevrekidis PG, Pelinovsky DE, Stefanov A. Nonlinearity management in higher dimensions Journal of Physics a: Mathematical and General. 39: 479-488. DOI: 10.1088/0305-4470/39/3/002  0.354
2006 Naibo V, Stefanov A. On some Schrödinger and wave equations with time dependent potentials Mathematische Annalen. 334: 325-338. DOI: 10.1007/S00208-005-0720-9  0.439
2005 Stefanov A, Kevrekidis PG. Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations Nonlinearity. 18: 1841-1857. DOI: 10.1088/0951-7715/18/4/022  0.409
2005 Stanislavova M, Stefanov A, Wang B. Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on R3 Journal of Differential Equations. 219: 451-483. DOI: 10.1016/J.Jde.2005.08.004  0.393
2005 Stanislavova M, Stefanov A. On global finite energy solutions of the Camassa-Holm equation Journal of Fourier Analysis and Applications. 11: 511-531. DOI: 10.1007/S00041-005-4047-4  0.375
2003 Nahmod A, Stefanov A, Uhlenbeck K. On the well-posedness of the wave map problem in high dimensions Communications in Analysis and Geometry. 11: 49-83. DOI: 10.4310/Cag.2003.V11.N1.A4  0.376
2003 Nahmod A, Stefanov A, Uhlenbeck K. On Schrödinger Maps Communications On Pure and Applied Mathematics. 56: 114-151. DOI: 10.1002/Cpa.10054  0.339
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