Edit Profile (opens in new tab) Costin, Ovidiu Co-Author Distance Author ID: costin.ovidiu Published as: Costin, O.; Costin, Ovidiu Documents Indexed: 107 Publications since 1990, including 1 Book and 25 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 53 Co-Authors with 100 Joint Publications 1,440 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Costin, Rodica D. 20 Lebowitz, Joel Louis 16 Tanveer, Saleh 13 Huang, Min 8 Kruskal, Martin David 7 Dunne, Gerald V. 4 Donninger, Roland 4 Dupaigne, Louis 4 Jauslin, Ian 3 Fauvet, Frédéric 3 Garoufalidis, Stavros 3 Schlag, Wilhelm 3 Xia, Xiaoyue 2 Castillo, Nick 2 Ehrlich, Philip 2 Friedman, Harvey M. 2 Glogić, Irfan 2 Kohut, Matthew 2 Luo, Guo 2 Menous, Frédéric 2 Ogle, Crichton 2 Rokhlenko, Alexander 2 Sauzin, David 2 Stucchio, Chris 1 Bóna, Miklós 1 Deift, Percy A. 1 Falkner, Neil 1 Gallavotti, Giovanni M. 1 Gentile, Guido 1 Giacomin, Giambattista 1 Gioev, Dimitri 1 Giuliani, Alessandro 1 Gordy, Michael B. 1 Goubet, Olivier 1 Grinfeld, Michael 1 Gruen, Angus 1 Grünfeld, Cecil Pompiliu 1 Gukov, Sergei 1 Kim, Tae-Eun 1 Macintyre, Angus John 1 Maz’ya, Vladimir Gilelevich 1 McNeal, Jeffery D. 1 Meynig, Max 1 O’neill, K. P. 1 Pittel, Boris G. 1 Qiu, Zhi 1 Sehgal, Kriti 1 Soffer, Avraham 1 Speer, Eugene R. 1 Staubach, Wolfgang 1 Szerszen, Pawel J. 1 Troiani, Alessio 1 Weinstein, Michael I. all top 5 Serials 10 Communications in Mathematical Physics 7 Journal of Statistical Physics 5 Nonlinearity 4 Journal of Physics A: Mathematical and Theoretical 3 Communications on Pure and Applied Mathematics 3 IMRN. International Mathematics Research Notices 3 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Physics 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Communications in Partial Differential Equations 2 Journal of Physics A: Mathematical and General 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series (Nuova Serie) 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. B 1 Fluid Dynamics Research 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Constructive Approximation 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Research Letters 1 Mathematical Finance 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré 1 Communications in Information and Systems 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Contemporary Mathematics 1 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics all top 5 Fields 39 Ordinary differential equations (34-XX) 37 Partial differential equations (35-XX) 23 Quantum theory (81-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Sequences, series, summability (40-XX) 8 Fluid mechanics (76-XX) 6 Functions of a complex variable (30-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Special functions (33-XX) 4 Difference and functional equations (39-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 692 times in 411 Documents Cited by ▼ Year ▼ On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations. Zbl 0948.34068 Costin, Ovidiu 51 1998 Asymptotics and Borel summability. Zbl 1169.34001 Costin, Ovidiu 47 2009 On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions. Zbl 1034.34102 Costin, O.; Costin, R. D. 34 2001 Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane. Zbl 1069.35003 Costin, O.; Tanveer, S. 28 2000 Exponential asymptotics, transseries, and generalized Borel summation for analytic, nonlinear, rank-one systems of ordinary differential equations. Zbl 0841.34005 Costin, Ovidiu 24 1995 Resonance theory for Schrödinger operators. Zbl 0992.81025 Costin, O.; Soffer, A. 23 2001 Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI. Zbl 1305.34151 Costin, O.; Huang, M.; Tanveer, S. 21 2014 Rigorous WKB for finite-order linear recurrence relations with smooth coefficients. Zbl 0861.39007 Costin, Ovidiu; Costin, Rodica 19 1996 On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106 Costin, Ovidiu; Huang, Min; Schlag, Wilhelm 18 2012 Borel summability of the heat equation with variable coefficients. Zbl 1241.40005 Costin, O.; Park, H.; Takei, Y. 18 2012 Boundary blow-up solutions in the unit ball: asymptotics, uniqueness and symmetry. Zbl 1195.35146 Costin, O.; Dupaigne, L. 17 2010 On optimal truncation of divergent series solutions of nonlinear differential systems. Zbl 0945.34071 Costin, Ovidiu; Kruskal, Martin D. 16 1999 Evolution of a model quantum system under time periodic forcing: conditions for complete ionization. Zbl 0996.81017 Costin, O.; Costin, R. D.; Lebowitz, J. L.; Rokhlenko, A. 16 2001 Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188 Costin, Ovidiu; Donninger, Roland; Glogić, Irfan 16 2017 Physical resurgent extrapolation. Zbl 1473.81063 Costin, Ovidiu; Dunne, Gerald V. 16 2020 Short time existence and Borel summability in the Navier-Stokes equation in \(\mathbb R^3\). Zbl 1421.76053 Costin, O.; Tanveer, S. 14 2009 Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties. Zbl 1236.35019 Costin, O.; Tanveer, S. 14 2007 Tronquée solutions of the Painlevé equation PI. Zbl 1327.34147 Costin, O.; Costin, R. D.; Huang, M. 13 2015 Uniqueness of large solutions. Zbl 1250.35072 Costin, O.; Dupaigne, L.; Goubet, O. 12 2012 A proof for the mode stability of a self-similar wave map. Zbl 1353.35209 Costin, O.; Donninger, R.; Xia, X. 12 2016 On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093 Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min 12 2016 Sharp Hardy-Leray inequality for axisymmetric divergence-free fields. Zbl 1147.35122 Costin, O.; Maz’ya, V. 12 2008 Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016 Costin, Ovidiu; Garoufalidis, Stavros 11 2011 Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I. Zbl 1509.34098 Costin, Ovidiu; Dunne, Gerald V. 11 2019 A direct method to find Stokes multipliers in closed form for \(\mathrm{P}_1\) and more general integrable systems. Zbl 1354.33016 Costin, O.; Costin, R. D.; Huang, M. 9 2016 Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ordinary differential equations. Zbl 0866.34047 Costin, Ovidiu; Kruskal, Martin D. 9 1996 Exact results for the ionization of a model quantum system. Zbl 1064.81548 Costin, O.; Lebowitz, J. L.; Rokhlenko, A. 9 2000 Topological construction of transseries and introduction to generalized Borel summability. Zbl 1072.40004 Costin, O. 9 2005 Correlation between pole location and asymptotic behavior for Painlevé I solutions. Zbl 0910.34003 Costin, Ovidiu 8 1999 Complex singularity analysis for a nonlinear PDE. Zbl 1136.35332 Costin, O.; Tanveer, S. 8 2006 The blockage problem. Zbl 1294.82028 Costin, O.; Lebowitz, J. L.; Speer, E. R.; Troiani, A. 8 2013 Resurgence of the Euler-Maclaurin summation formula. Zbl 1166.34055 Costin, Ovidiu; Garoufalidis, Stavros 8 2008 Nonperturbative time dependent solution of a simple ionization model. Zbl 1397.81426 Costin, Ovidiu; Costin, Rodica D.; Lebowitz, Joel L. 7 2018 Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056 Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh 7 2008 Behavior of lacunary series at the natural boundary. Zbl 1182.30005 Costin, O.; Huang, M. 7 2009 Time asymptotics of the Schrödinger wave function in time-periodic potentials. Zbl 1138.81012 Costin, O.; Costin, R. D.; Lebowitz, J. L. 7 2004 Ionization in a 1-dimensional dipole model. Zbl 1168.81029 Costin, O.; Lebowitz, J. L.; Stucchio, C. 7 2008 Borel summability and Lindstedt series. Zbl 1113.37047 Costin, O.; Gallavotti, G.; Gentile, G.; Giuliani, A. 7 2007 Singular normal form for the Painlevé equation P1. Zbl 0915.34009 Costin, Ovidiu; Costin, Rodica D. 6 1998 Gamow vectors and Borel summability in a class of quantum systems. Zbl 1227.82039 Costin, O.; Huang, M. 6 2011 Resurgence of the fractional polylogarithms. Zbl 1201.30044 Costin, Ovidiu; Garoufalidis, Stavros 6 2009 Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038 Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh 5 2012 Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size. Zbl 1209.37087 Costin, O.; Lebowitz, J. L.; Tanveer, S. 5 2010 Decay versus survival of a localized state subjected to harmonic forcing: Exact results. Zbl 1041.81598 Rokhlenko, A.; Costin, O.; Lebowitz, J. L. 5 2002 Convergence from divergence. Zbl 1387.81270 Costin, Ovidiu; Dunne, Gerald V. 4 2018 Failure of analytic hypoellipticity in a class of differential operators. Zbl 1150.35018 Costin, Ovidiu; Costin, Rodica D. 4 2003 Borel summation of adiabatic invariants. Zbl 1059.34061 Costin, O.; Dupaigne, L.; Kruskal, M. D. 4 2004 Divergent expansion, Borel summability and three-dimensional Navier-Stokes equation. Zbl 1153.35369 Costin, Ovidiu; Luo, Guo; Tanveer, Saleh 4 2008 A quasi-solution approach to nonlinear problems – the case of the Blasius similarity solution. Zbl 1308.65124 Costin, O.; Kim, T. E.; Tanveer, S. 3 2014 Analytical approximation of the Blasius similarity solution with rigorous error bounds. Zbl 1309.76076 Costin, O.; Tanveer, S. 3 2014 On the complete ionization of a periodically perturbed quantum system. Zbl 0986.81022 Costin, O.; Lebowitz, J. L.; Rokhlenko, A. 3 2001 Asymptotic properties of a family of solutions of the Painlevé equation \(P_{VI}\). Zbl 1016.34092 Costin, Ovidiu; Costin, Rodica D. 3 2002 Infinite-order phase transition in a classical spin system. Zbl 0718.60127 Costin, O.; Costin, R. D.; Grünfeld, C. P. 3 1990 Foundational aspects of singular integrals. Zbl 1301.32006 Costin, Ovidiu; Friedman, Harvey M. 3 2014 From the Taylor series of analytic functions to their global analysis. Zbl 1317.30002 Costin, O.; Xia, X. 3 2015 Long-time behaviour of point islands under fixed rate deposition. Zbl 1305.82040 Costin, O.; Grinfeld, M.; O’Neill, K. P.; Park, H. 3 2013 Analytic methods for obstruction to integrability in discrete dynamical systems. Zbl 1101.37042 Costin, O.; Kruskal, M. D. 3 2005 Transition to the continuum of a particle in time-periodic potentials. Zbl 1041.81013 Costin, O.; Costin, R. D.; Lebowitz, J. L. 3 2003 Uniformization and constructive analytic continuation of Taylor series. Zbl 1493.30005 Costin, Ovidiu; Dunne, Gerald V. 3 2022 Some generalizations of the Riemann-Lebesgue lemma. Zbl 1391.26028 Costin, Ovidiu; Falkner, Neil; McNeal, Jeffery D. 2 2016 Rigorous bounds of Stokes constants for some nonlinear ordinary differential equations at rank-one irregular singularities. Zbl 1079.34068 Costin, Ovidiu; Costin, Rodica D.; Kohut, Matthew 2 2004 The lifetime of shape oscillations of a bubble in an unbounded, inviscid, and compressible fluid with surface tension. Zbl 1282.35293 Costin, Ovidiu; Tanveer, Saleh; Weinstein, Michael I. 2 2013 Geometric construction and analytic representation of Julia sets of polynomial maps. Zbl 1218.37061 Costin, O.; Huang, M. 2 2011 Integral formulation of 3D Navier-Stokes and longer time existence of smooth solutions. Zbl 1225.35163 Costin, O.; Luo, G.; Tanveer, S. 2 2011 Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes. Zbl 1263.82008 Costin, Ovidiu; Giacomin, Giambattista 2 2013 Limit probability distributions for an infinite-order phase transition model. Zbl 0952.82506 Costin, O.; Costin, R. D. 1 1991 Expectations of functions of stochastic time with application to credit risk modeling. Zbl 1348.91298 Costin, Ovidiu; Gordy, Michael B.; Huang, Min; Szerszen, Pawel J. 1 2016 Nonperturbative analysis of a model quantum system under time periodic forcing. Zbl 1010.81011 Costin, Ovidiu; Costin, Rodica D.; Lebowitz, Joel L.; Rokhlenko, Alexander 1 2001 Decay estimates for one-dimensional wave equations with inverse power potentials. Zbl 1315.35032 Costin, O.; Huang, M. 1 2015 Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Zbl 1063.00011 1 2005 Analyzability in the context of PDEs and applications. Zbl 1161.35306 Costin, Ovidiu; Tanveer, Saleh 1 2004 Ionization in damped time-harmonic fields. Zbl 1176.81132 Costin, Ovidiu; Huang, Min; Qiu, Zhi 1 2009 Exact solution of the 1D time-dependent Schrödinger equation for the emission of quasi-free electrons from a flat metal surface by a laser. Zbl 1519.81181 Costin, Ovidiu; Costin, Rodica; Jauslin, Ian; Lebowitz, Joel L. 1 2020 Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: the continuous case. Zbl 1477.86023 Ogle, C.; Costin, O.; Bevis, M. 1 2021 On the proof of universality for orthogonal and symplectic ensembles in random matrix theory. Zbl 1139.15013 Costin, Ovidiu; Deift, Percy; Gioev, Dimitri 1 2007 Asymptotics in dynamics, geometry and PDEs. Generalized Borel summation. Vol. II. Proceedings of the conference, CRM, Pisa, Italy, October 12–16, 2009. Zbl 1222.00036 1 2011 Exact results for ionization of model atomic systems. Zbl 1417.81169 Costin, O.; Lebowitz, J. L.; Stucchio, C.; Tanveer, S. 1 2010 Global behavior of solutions of nonlinear ODEs: first order equations. Zbl 1258.34175 Costin, Ovidiu; Huang, Min; Fauvet, Frederic 1 2012 Uniformization and constructive analytic continuation of Taylor series. Zbl 1493.30005 Costin, Ovidiu; Dunne, Gerald V. 3 2022 Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere: the continuous case. Zbl 1477.86023 Ogle, C.; Costin, O.; Bevis, M. 1 2021 Physical resurgent extrapolation. Zbl 1473.81063 Costin, Ovidiu; Dunne, Gerald V. 16 2020 Exact solution of the 1D time-dependent Schrödinger equation for the emission of quasi-free electrons from a flat metal surface by a laser. Zbl 1519.81181 Costin, Ovidiu; Costin, Rodica; Jauslin, Ian; Lebowitz, Joel L. 1 2020 Resurgent extrapolation: rebuilding a function from asymptotic data. Painlevé I. Zbl 1509.34098 Costin, Ovidiu; Dunne, Gerald V. 11 2019 Nonperturbative time dependent solution of a simple ionization model. Zbl 1397.81426 Costin, Ovidiu; Costin, Rodica D.; Lebowitz, Joel L. 7 2018 Convergence from divergence. Zbl 1387.81270 Costin, Ovidiu; Dunne, Gerald V. 4 2018 Mode stability of self-similar wave maps in higher dimensions. Zbl 1362.35188 Costin, Ovidiu; Donninger, Roland; Glogić, Irfan 16 2017 A proof for the mode stability of a self-similar wave map. Zbl 1353.35209 Costin, O.; Donninger, R.; Xia, X. 12 2016 On the stability of self-similar solutions to nonlinear wave equations. Zbl 1338.35093 Costin, Ovidiu; Donninger, Roland; Glogić, Irfan; Huang, Min 12 2016 A direct method to find Stokes multipliers in closed form for \(\mathrm{P}_1\) and more general integrable systems. Zbl 1354.33016 Costin, O.; Costin, R. D.; Huang, M. 9 2016 Some generalizations of the Riemann-Lebesgue lemma. Zbl 1391.26028 Costin, Ovidiu; Falkner, Neil; McNeal, Jeffery D. 2 2016 Expectations of functions of stochastic time with application to credit risk modeling. Zbl 1348.91298 Costin, Ovidiu; Gordy, Michael B.; Huang, Min; Szerszen, Pawel J. 1 2016 Tronquée solutions of the Painlevé equation PI. Zbl 1327.34147 Costin, O.; Costin, R. D.; Huang, M. 13 2015 From the Taylor series of analytic functions to their global analysis. Zbl 1317.30002 Costin, O.; Xia, X. 3 2015 Decay estimates for one-dimensional wave equations with inverse power potentials. Zbl 1315.35032 Costin, O.; Huang, M. 1 2015 Proof of the Dubrovin conjecture and analysis of the tritronquée solutions of PI. Zbl 1305.34151 Costin, O.; Huang, M.; Tanveer, S. 21 2014 A quasi-solution approach to nonlinear problems – the case of the Blasius similarity solution. Zbl 1308.65124 Costin, O.; Kim, T. E.; Tanveer, S. 3 2014 Analytical approximation of the Blasius similarity solution with rigorous error bounds. Zbl 1309.76076 Costin, O.; Tanveer, S. 3 2014 Foundational aspects of singular integrals. Zbl 1301.32006 Costin, Ovidiu; Friedman, Harvey M. 3 2014 The blockage problem. Zbl 1294.82028 Costin, O.; Lebowitz, J. L.; Speer, E. R.; Troiani, A. 8 2013 Long-time behaviour of point islands under fixed rate deposition. Zbl 1305.82040 Costin, O.; Grinfeld, M.; O’Neill, K. P.; Park, H. 3 2013 The lifetime of shape oscillations of a bubble in an unbounded, inviscid, and compressible fluid with surface tension. Zbl 1282.35293 Costin, Ovidiu; Tanveer, Saleh; Weinstein, Michael I. 2 2013 Oscillatory critical amplitudes in hierarchical models and the Harris function of branching processes. Zbl 1263.82008 Costin, Ovidiu; Giacomin, Giambattista 2 2013 On the spectral properties of \(L_{\pm }\) in three dimensions. Zbl 1232.35106 Costin, Ovidiu; Huang, Min; Schlag, Wilhelm 18 2012 Borel summability of the heat equation with variable coefficients. Zbl 1241.40005 Costin, O.; Park, H.; Takei, Y. 18 2012 Uniqueness of large solutions. Zbl 1250.35072 Costin, O.; Dupaigne, L.; Goubet, O. 12 2012 Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials. Zbl 1258.81038 Costin, Ovidiu; Donninger, Roland; Schlag, Wilhelm; Tanveer, Saleh 5 2012 Global behavior of solutions of nonlinear ODEs: first order equations. Zbl 1258.34175 Costin, Ovidiu; Huang, Min; Fauvet, Frederic 1 2012 Resurgence of the Kontsevich-Zagier series. Zbl 1238.57016 Costin, Ovidiu; Garoufalidis, Stavros 11 2011 Gamow vectors and Borel summability in a class of quantum systems. Zbl 1227.82039 Costin, O.; Huang, M. 6 2011 Geometric construction and analytic representation of Julia sets of polynomial maps. Zbl 1218.37061 Costin, O.; Huang, M. 2 2011 Integral formulation of 3D Navier-Stokes and longer time existence of smooth solutions. Zbl 1225.35163 Costin, O.; Luo, G.; Tanveer, S. 2 2011 Asymptotics in dynamics, geometry and PDEs. Generalized Borel summation. Vol. II. Proceedings of the conference, CRM, Pisa, Italy, October 12–16, 2009. Zbl 1222.00036 1 2011 Boundary blow-up solutions in the unit ball: asymptotics, uniqueness and symmetry. Zbl 1195.35146 Costin, O.; Dupaigne, L. 17 2010 Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size. Zbl 1209.37087 Costin, O.; Lebowitz, J. L.; Tanveer, S. 5 2010 Exact results for ionization of model atomic systems. Zbl 1417.81169 Costin, O.; Lebowitz, J. L.; Stucchio, C.; Tanveer, S. 1 2010 Asymptotics and Borel summability. Zbl 1169.34001 Costin, Ovidiu 47 2009 Short time existence and Borel summability in the Navier-Stokes equation in \(\mathbb R^3\). Zbl 1421.76053 Costin, O.; Tanveer, S. 14 2009 Behavior of lacunary series at the natural boundary. Zbl 1182.30005 Costin, O.; Huang, M. 7 2009 Resurgence of the fractional polylogarithms. Zbl 1201.30044 Costin, Ovidiu; Garoufalidis, Stavros 6 2009 Ionization in damped time-harmonic fields. Zbl 1176.81132 Costin, Ovidiu; Huang, Min; Qiu, Zhi 1 2009 Sharp Hardy-Leray inequality for axisymmetric divergence-free fields. Zbl 1147.35122 Costin, O.; Maz’ya, V. 12 2008 Resurgence of the Euler-Maclaurin summation formula. Zbl 1166.34055 Costin, Ovidiu; Garoufalidis, Stavros 8 2008 Semiclassical analysis of low and zero energy scattering for one-dimensional Schrödinger operators with inverse square potentials. Zbl 1160.35056 Costin, Ovidiu; Schlag, Wilhelm; Staubach, Wolfgang; Tanveer, Saleh 7 2008 Ionization in a 1-dimensional dipole model. Zbl 1168.81029 Costin, O.; Lebowitz, J. L.; Stucchio, C. 7 2008 Divergent expansion, Borel summability and three-dimensional Navier-Stokes equation. Zbl 1153.35369 Costin, Ovidiu; Luo, Guo; Tanveer, Saleh 4 2008 Nonlinear evolution PDEs in \(\mathbb R^+ \times \mathbb C^d\): existence and uniqueness of solutions, asymptotic and Borel summability properties. Zbl 1236.35019 Costin, O.; Tanveer, S. 14 2007 Borel summability and Lindstedt series. Zbl 1113.37047 Costin, O.; Gallavotti, G.; Gentile, G.; Giuliani, A. 7 2007 On the proof of universality for orthogonal and symplectic ensembles in random matrix theory. Zbl 1139.15013 Costin, Ovidiu; Deift, Percy; Gioev, Dimitri 1 2007 Complex singularity analysis for a nonlinear PDE. Zbl 1136.35332 Costin, O.; Tanveer, S. 8 2006 Topological construction of transseries and introduction to generalized Borel summability. Zbl 1072.40004 Costin, O. 9 2005 Analytic methods for obstruction to integrability in discrete dynamical systems. Zbl 1101.37042 Costin, O.; Kruskal, M. D. 3 2005 Analyzable functions and applications. International workshop, Edinburgh, UK, June 17–21, 2002. Zbl 1063.00011 1 2005 Time asymptotics of the Schrödinger wave function in time-periodic potentials. Zbl 1138.81012 Costin, O.; Costin, R. D.; Lebowitz, J. L. 7 2004 Borel summation of adiabatic invariants. Zbl 1059.34061 Costin, O.; Dupaigne, L.; Kruskal, M. D. 4 2004 Rigorous bounds of Stokes constants for some nonlinear ordinary differential equations at rank-one irregular singularities. Zbl 1079.34068 Costin, Ovidiu; Costin, Rodica D.; Kohut, Matthew 2 2004 Analyzability in the context of PDEs and applications. Zbl 1161.35306 Costin, Ovidiu; Tanveer, Saleh 1 2004 Failure of analytic hypoellipticity in a class of differential operators. Zbl 1150.35018 Costin, Ovidiu; Costin, Rodica D. 4 2003 Transition to the continuum of a particle in time-periodic potentials. Zbl 1041.81013 Costin, O.; Costin, R. D.; Lebowitz, J. L. 3 2003 Decay versus survival of a localized state subjected to harmonic forcing: Exact results. Zbl 1041.81598 Rokhlenko, A.; Costin, O.; Lebowitz, J. L. 5 2002 Asymptotic properties of a family of solutions of the Painlevé equation \(P_{VI}\). Zbl 1016.34092 Costin, Ovidiu; Costin, Rodica D. 3 2002 On the formation of singularities of solutions of nonlinear differential systems in anti-Stokes directions. Zbl 1034.34102 Costin, O.; Costin, R. D. 34 2001 Resonance theory for Schrödinger operators. Zbl 0992.81025 Costin, O.; Soffer, A. 23 2001 Evolution of a model quantum system under time periodic forcing: conditions for complete ionization. Zbl 0996.81017 Costin, O.; Costin, R. D.; Lebowitz, J. L.; Rokhlenko, A. 16 2001 On the complete ionization of a periodically perturbed quantum system. Zbl 0986.81022 Costin, O.; Lebowitz, J. L.; Rokhlenko, A. 3 2001 Nonperturbative analysis of a model quantum system under time periodic forcing. Zbl 1010.81011 Costin, Ovidiu; Costin, Rodica D.; Lebowitz, Joel L.; Rokhlenko, Alexander 1 2001 Existence and uniqueness for a class of nonlinear higher-order partial differential equations in the complex plane. Zbl 1069.35003 Costin, O.; Tanveer, S. 28 2000 Exact results for the ionization of a model quantum system. Zbl 1064.81548 Costin, O.; Lebowitz, J. L.; Rokhlenko, A. 9 2000 On optimal truncation of divergent series solutions of nonlinear differential systems. Zbl 0945.34071 Costin, Ovidiu; Kruskal, Martin D. 16 1999 Correlation between pole location and asymptotic behavior for Painlevé I solutions. Zbl 0910.34003 Costin, Ovidiu 8 1999 On Borel summation and Stokes phenomena for rank-\(1\) nonlinear systems of ordinary differential equations. Zbl 0948.34068 Costin, Ovidiu 51 1998 Singular normal form for the Painlevé equation P1. Zbl 0915.34009 Costin, Ovidiu; Costin, Rodica D. 6 1998 Rigorous WKB for finite-order linear recurrence relations with smooth coefficients. Zbl 0861.39007 Costin, Ovidiu; Costin, Rodica 19 1996 Optimal uniform estimates and rigorous asymptotics beyond all orders for a class of ordinary differential equations. Zbl 0866.34047 Costin, Ovidiu; Kruskal, Martin D. 9 1996 Exponential asymptotics, transseries, and generalized Borel summation for analytic, nonlinear, rank-one systems of ordinary differential equations. Zbl 0841.34005 Costin, Ovidiu 24 1995 Limit probability distributions for an infinite-order phase transition model. Zbl 0952.82506 Costin, O.; Costin, R. D. 1 1991 Infinite-order phase transition in a classical spin system. Zbl 0718.60127 Costin, O.; Costin, R. D.; Grünfeld, C. P. 3 1990 all cited Publications top 5 cited Publications all top 5 Cited by 485 Authors 37 Costin, Ovidiu 29 Malek, Stéphane 15 Lastra, Alberto 13 Tanveer, Saleh 12 Donninger, Roland 12 Dunne, Gerald V. 11 Costin, Rodica D. 10 Glogić, Irfan 10 Mariño, Marcos 9 Huang, Min 8 Hamamoto, Naoki 8 Remy, Pascal 7 Garoufalidis, Stavros 6 Lebowitz, Joel Louis 5 Schörkhuber, Birgit 5 Soffer, Avraham 5 Ünsal, Mithat 4 Aniceto, Inês 4 Beceanu, Marius 4 Carlone, Raffaele 4 Giacomin, Giambattista 4 Iwaki, Kohei 4 Jensen, Arne 4 Li, Yutian 4 López-Gómez, Julián 4 Lustri, Christopher J. 4 Maire, Luis 4 Nenciu, Gheorghe 4 Schlag, Wilhelm 3 Acedo, Luis 3 Aptekarev, Alexander Ivanovich 3 Biernat, Paweł 3 Borinsky, Michael 3 Bove, Antonio 3 Braaksma, Boele L. J. 3 Dubrovin, Boris Anatol’evich 3 Figari, Rodolfo 3 Gentile, Guido 3 Gu, Jie 3 Hamdouni, Aziz 3 Joshi, Nalini 3 Karasev, Mikhail Vladimirovich 3 Klein, Christian 3 Maiezza, Alessio 3 Mantile, Andrea 3 Masoero, Davide 3 Petrov, Leonid 3 Pini, Alessandro 3 Razafindralandy, Dina 3 Reis, Tomás A. 3 Sanz, Javier 3 Sasportes, Rafael 3 Takahashi, Futoshi 3 Tentarelli, Lorenzo 3 Vasquez, Juan Carlos 3 Vybornyi, E. V. 3 Weinstein, Michael I. 3 Wong, Roderick Sue-Chuen 3 Xie, Xuming 3 Yao, Xiaohua 3 Zhao, Yuqiu 2 Arenas, Abraham J. 2 Başar, Gökçe 2 Bellon, Marc P. 2 Bender, Carl M. 2 Bersini, Jahmall 2 Bittmann, Amaury 2 Bizoń, Piotr 2 Bleher, Pavel M. 2 Briet, Philippe 2 Cao, Lihua 2 Chiba, Hayato 2 Clavier, Pierre J. 2 Correggi, Michele 2 Cuccagna, Scipio 2 Da Costa, Fernando Pestana 2 de la Llave, Rafael 2 Deaño, Alfredo 2 Deeb, Ahmad Ali 2 Dinu, Victor 2 Dominici, Diego Ernesto 2 Dudnikova, Tat’yana V. 2 Dupaigne, Louis 2 Feng, Hongliang 2 Fuji, Hiroyuki 2 Getmanenko, Alexander 2 Ghoul, Tej-Eddine 2 González-Parra, Gilberto C. 2 Goubet, Olivier 2 Grava, Tamara 2 Gukov, Sergei 2 Hasenbichler, Daniel 2 Huang, Shuibo 2 Källén, Johan 2 Kamimoto, Shingo 2 Karp, Dmitriĭ Borisovich 2 Kirr, E. W. 2 Klimeš, Martin 2 Komijani, Javad 2 Lin, Yu ...and 385 more Authors all top 5 Cited in 134 Serials 27 Communications in Mathematical Physics 27 Journal of High Energy Physics 16 Journal of Differential Equations 14 Journal of Dynamical and Control Systems 13 Journal of Mathematical Physics 11 Journal of Statistical Physics 10 Journal of Mathematical Analysis and Applications 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 10 Journal of Physics A: Mathematical and Theoretical 9 Nonlinearity 9 Advances in Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Abstract and Applied Analysis 7 Journal of Functional Analysis 6 Communications in Partial Differential Equations 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Analysis and Applications (Singapore) 5 Annales de l’Institut Fourier 5 SIAM Journal on Mathematical Analysis 5 Annales Henri Poincaré 5 Advances in Difference Equations 4 Archive for Rational Mechanics and Analysis 4 Reviews in Mathematical Physics 4 Journal of Approximation Theory 4 Results in Mathematics 4 Transactions of the American Mathematical Society 4 Physica D 4 Annals of Physics 4 Calculus of Variations and Partial Differential Equations 4 Lobachevskii Journal of Mathematics 4 Analysis & PDE 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Communications on Pure and Applied Mathematics 3 Journal of Fluid Mechanics 3 Letters in Mathematical Physics 3 Nuclear Physics. B 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Duke Mathematical Journal 3 Journal of Combinatorial Theory. Series A 3 Constructive Approximation 3 Journal of Difference Equations and Applications 3 Nonlinear Analysis. Real World Applications 2 Mathematical Notes 2 Physics Letters. B 2 Physics Reports 2 Applied Mathematics and Computation 2 Mathematische Annalen 2 Journal of Symbolic Computation 2 Probability Theory and Related Fields 2 European Journal of Applied Mathematics 2 Numerical Algorithms 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Physics, Analysis and Geometry 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Analysis (München) 2 Qualitative Theory of Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Nonlinear Analysis 2 Research in the Mathematical Sciences 2 Séminaire Laurent Schwartz. EDP et Applications 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computer Physics Communications 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Physica A 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Demonstratio Mathematica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Multivariate Analysis 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the Japan Academy. Series A 1 Ricerche di Matematica 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Insurance Mathematics & Economics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 The Journal of Geometric Analysis 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Russian Journal of Mathematical Physics ...and 34 more Serials all top 5 Cited in 54 Fields 180 Partial differential equations (35-XX) 123 Quantum theory (81-XX) 87 Ordinary differential equations (34-XX) 35 Special functions (33-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Statistical mechanics, structure of matter (82-XX) 26 Sequences, series, summability (40-XX) 17 Difference and functional equations (39-XX) 16 Fluid mechanics (76-XX) 16 Relativity and gravitational theory (83-XX) 15 Real functions (26-XX) 15 Approximations and expansions (41-XX) 14 Operator theory (47-XX) 14 Probability theory and stochastic processes (60-XX) 13 Numerical analysis (65-XX) 12 Functions of a complex variable (30-XX) 11 Algebraic geometry (14-XX) 10 Integral equations (45-XX) 9 Number theory (11-XX) 9 Manifolds and cell complexes (57-XX) 8 Combinatorics (05-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Integral transforms, operational calculus (44-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Functional analysis (46-XX) 5 Computer science (68-XX) 4 Statistics (62-XX) 4 Optics, electromagnetic theory (78-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Differential geometry (53-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year