Yuri Latushkin - Publications

Affiliations: 
University of Missouri - Columbia, Columbia, MO, United States 
Area:
Mathematics

67 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 Dullin H, Latushkin Y, Marangell R, Vasudevan S, Worthington J. Instability of unidirectional flows for the 2D $\alpha$-Euler equations Communications On Pure and Applied Analysis. 19: 2051-2079. DOI: 10.3934/Cpaa.2020091  0.38
2020 Gesztesy F, Latushkin Y, Mitrea M, Zinchenko M. Erratum to “Non Self Adjoint Operators, Infinite Determinants, and Some Applications,” Russ. J. Math. Phys. 12, 443–471 (2005) Russian Journal of Mathematical Physics. 27: 410-410. DOI: 10.1134/S1061920820030127  0.37
2020 Beck M, Cox G, Jones C, Latushkin Y, Sukhtayev A. A dynamical approach to semilinear elliptic equations Annales De L'Institut Henri Poincaré C, Analyse Non LinéAire. DOI: 10.1016/J.Anihpc.2020.08.001  0.758
2019 Latushkin Y, Vasudevan S. Stability criteria for the 2D α-Euler equations Journal of Mathematical Analysis and Applications. 472: 1631-1659. DOI: 10.1016/J.Jmaa.2018.12.015  0.349
2019 Berkolaiko G, Latushkin Y, Sukhtaiev S. Limits of quantum graph operators with shrinking edges Advances in Mathematics. 352: 632-669. DOI: 10.1016/J.Aim.2019.06.017  0.344
2019 Blumenthal A, Latushkin Y. The Selgrade Decomposition for Linear Semiflows on Banach Spaces Journal of Dynamics and Differential Equations. 31: 1427-1456. DOI: 10.1007/S10884-018-9648-0  0.382
2018 Beck M, Cox G, Jones C, Latushkin Y, McQuighan K, Sukhtayev A. Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376. PMID 29507172 DOI: 10.1098/Rsta.2017.0187  0.751
2018 Howard P, Latushkin Y, Sukhtayev A. The Maslov and Morse indices for system Schroedinger operators on \mathBB{R} Indiana University Mathematics Journal. 67: 1765-1815. DOI: 10.1512/Iumj.2018.67.7462  0.364
2018 Ghazaryan A, Latushkin Y, Yang X. Stability of a Planar Front in a Class of Reaction-Diffusion Systems Siam Journal On Mathematical Analysis. 50: 5569-5615. DOI: 10.1137/17M1161592  0.375
2018 Latushkin Y, Sukhtaiev S. The Maslov index and the spectra of second order elliptic operators Advances in Mathematics. 329: 422-486. DOI: 10.1016/J.Aim.2018.02.027  0.474
2018 Latushkin Y, Sukhtaiev S, Sukhtayev A. The Morse and Maslov indices for Schrödinger operators Journal D Analyse Mathematique. 135: 345-387. DOI: 10.1007/S11854-018-0043-X  0.781
2018 Latushkin Y, Vasudevan S. Eigenvalues of the Linearized 2D Euler Equations via Birman–Schwinger and Lin’s Operators Journal of Mathematical Fluid Mechanics. 20: 1667-1680. DOI: 10.1007/S00021-018-0383-4  0.467
2018 Ghazaryan A, Latushkin Y, Pogan A. Spectrum of Non-planar Traveling Waves Integral Equations and Operator Theory. 90: 30. DOI: 10.1007/S00020-018-2447-5  0.43
2017 Latushkin Y, Schnaubelt R, Yang X. Stable foliations near a traveling front for reaction diffusion systems Discrete and Continuous Dynamical Systems-Series B. 22: 3145-3165. DOI: 10.3934/Dcdsb.2017168  0.455
2017 Howard P, Latushkin Y, Sukhtayev A. The Maslov index for Lagrangian pairs on R2n Journal of Mathematical Analysis and Applications. 451: 794-821. DOI: 10.1016/J.Jmaa.2017.02.022  0.739
2017 Latushkin Y, Sukhtayev A. Hadamard-type formulas via the Maslov form Journal of Evolution Equations. 17: 443-472. DOI: 10.1007/S00028-016-0354-2  0.754
2016 Cox G, Jones CKRT, Latushkin Y, Sukhtayev A. The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials Transactions of the American Mathematical Society. 368: 8145-8207. DOI: 10.1090/Tran/6801  0.782
2016 Jones CKRT, Latushkin Y, Sukhtaiev S. Counting spectrum via the Maslov index for one dimensional -periodic Schrödinger operators Arxiv: Spectral Theory. 145: 363-377. DOI: 10.1090/Proc/13192  0.486
2015 Kawan C, Latushkin Y. Some results on the entropy of non-autonomous dynamical systems Dynamical Systems. 1-29. DOI: 10.1080/14689367.2015.1111299  0.328
2015 Latushkin Y, Pogan A. The infinite dimensional Evans function Journal of Functional Analysis. 268: 1509-1586. DOI: 10.1016/J.Jfa.2014.11.020  0.536
2014 Johnson R, Latushkin Y, Schnaubelt R. Reduction Principle and Asymptotic Phase for Center Manifolds of Parabolic Systems with Nonlinear Boundary Conditions Journal of Dynamics and Differential Equations. 26: 243-266. DOI: 10.1007/S10884-014-9360-7  0.415
2014 Beyn WJ, Latushkin Y, Rottmann-Matthes J. Finding Eigenvalues of Holomorphic Fredholm Operator Pencils Using Boundary Value Problems and Contour Integrals Integral Equations and Operator Theory. 78: 155-211. DOI: 10.1007/S00020-013-2117-6  0.533
2013 Latushkin Y, Yurov V. Stability estimates for semigroups on banach spaces Discrete and Continuous Dynamical Systems- Series A. 33: 5203-5216. DOI: 10.3934/Dcds.2013.33.5203  0.636
2012 Latushkin Y, Sukhtayev A. The Evans function and the Weyl-Titchmarsh function Discrete and Continuous Dynamical Systems - Series S. 5: 939-970. DOI: 10.3934/Dcdss.2012.5.939  0.751
2011 Ghazaryan A, Latushkin Y, Schecter S. Stability of traveling waves for degenerate systems of reaction diffusion equations Indiana University Mathematics Journal. 60: 443-472. DOI: 10.1512/Iumj.2011.60.4069  0.491
2011 Gesztesy F, Latushkin Y, Makarov KA, Sukochev F, Tomilov Y. The index formula and the spectral shift function for relatively trace class perturbations Advances in Mathematics. 227: 319-420. DOI: 10.1016/J.Aim.2011.01.022  0.404
2011 Das M, Latushkin Y. Derivatives of the Evans function and (modified) Fredholm determinants for first order systems Mathematische Nachrichten. 284: 1592-1638. DOI: 10.1002/Mana.201000074  0.479
2010 Ghazaryan A, Latushkin Y, Schecter S. Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models Siam Journal On Mathematical Analysis. 42: 2434-2472. DOI: 10.1137/100786204  0.346
2010 Latushkin Y, Sukhtayev A. The algebraic multiplicity of eigenvalues and the evans function revisited Mathematical Modelling of Natural Phenomena. 5: 269-292. DOI: 10.1051/Mmnp/20105412  0.798
2010 Ghazaryan A, Latushkin Y, Schecter S, de Souza AJ. Stability of Gasless Combustion Fronts in One-Dimensional Solids Archive For Rational Mechanics and Analysis. 198: 981-1030. DOI: 10.1007/S00205-010-0358-Y  0.461
2009 Shvydkoy R, Latushkin Y. Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics Journal of Functional Analysis. 257: 3309-3328. DOI: 10.1016/J.Jfa.2009.06.006  0.492
2008 Latushkin Y, Prüss J, Schnaubelt R. Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions Discrete and Continuous Dynamical Systems - Series B. 9: 595-633. DOI: 10.3934/Dcdsb.2008.9.595  0.435
2008 Gesztesy F, Latushkin Y, Zumbrun K. Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves Journal Des Mathematiques Pures Et Appliquees. 90: 160-200. DOI: 10.1016/J.Matpur.2008.04.001  0.457
2008 Latushkin Y, Pogan A. The Dichotomy Theorem for evolution bi-families Journal of Differential Equations. 245: 2267-2306. DOI: 10.1016/J.Jde.2008.01.023  0.406
2008 Bátkai A, Eisner T, Latushkin Y. The spectral mapping property of delay semigroups Complex Analysis and Operator Theory. 2: 273-283. DOI: 10.1007/S11785-008-0052-3  0.333
2008 Latushkin Y, Pivovarchik V. Scattering in a forked-shaped waveguide Integral Equations and Operator Theory. 61: 365-399. DOI: 10.1007/S00020-008-1597-2  0.362
2007 Cramer D, Latushkin Y. Fredholm determinants and the Evans function for difference equations Banach Center Publications. 75: 111-135. DOI: 10.4064/Bc75-0-7  0.595
2007 Gesztesy F, Latushkin Y, Makarov KA. Evans functions, jost functions, and fredholm determinants Archive For Rational Mechanics and Analysis. 186: 361-421. DOI: 10.1007/S00205-007-0071-7  0.446
2007 Latushkin Y, Pogan A, Schnaubelt R. Dichotomy and Fredholm properties of evolution equations Journal of Operator Theory. 58: 387-414.  0.358
2006 Latushkin Y, Prüss J, Schnaubelt R. Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions Journal of Evolution Equations. 6: 537-576. DOI: 10.1007/S00028-006-0272-9  0.467
2005 Latushkin Y, Tomilov Y. Fredholm differential operators with unbounded coefficients Journal of Differential Equations. 208: 388-429. DOI: 10.1016/J.Jde.2003.10.018  0.49
2005 Latushkin Y, Randolph T, Schnaubelt R. Regularization and frequency-domain stability of well-posed systems Mathematics of Control, Signals, and Systems. 17: 128-151. DOI: 10.1007/S00498-005-0150-Y  0.441
2005 Shvydkoy R, Latushkin Y. Essential spectrum of the linearized 2D euler equation and lyapunov-oseledets exponents Journal of Mathematical Fluid Mechanics. 7: 164-178. DOI: 10.1007/S00021-004-0114-X  0.419
2005 Latushkin Y, Räbiger F. Operator valued fourier multipliers and stability of strongly continuous semigroups Integral Equations and Operator Theory. 51: 375-394. DOI: 10.1007/S00020-004-1349-X  0.417
2005 Gesztesy F, Latushkin Y, Mitrea M, Zinchenko M. Nonselfadjoint operators, infinite determinants, and some applications Russian Journal of Mathematical Physics. 12: 443-471.  0.308
2004 Latushkin Y, Tomilov Y. Fredholm properties of evolution semigroups Illinois Journal of Mathematics. 48: 999-1020. DOI: 10.1215/Ijm/1258131066  0.394
2004 Latushkin Y, Li YC, Stanislavova M. The Spectrum of a Linearized 2D Euler Operator Studies in Applied Mathematics. 112: 259-270. DOI: 10.1111/J.0022-2526.2004.01510.X  0.747
2004 Cascaval RC, Gesztesy F, Holden H, Latushkin Y. Spectral analysis of darboux transformations for the focusing NLS hierarchy Journal D'Analyse Mathematique. 93: 139-197. DOI: 10.1007/Bf02789306  0.349
2003 Gundlach VM, Latushkin Y. A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces Ergodic Theory and Dynamical Systems. 23: 175-191. DOI: 10.1017/S0143385702000962  0.375
2003 Latushkin Y, Vishik M. Linear stability in an ideal incompressible fluid Communications in Mathematical Physics. 233: 439-461. DOI: 10.1007/S00220-002-0775-3  0.492
2000 Gesztesy F, Jones CKRT, Latushkin Y, Stanislavova M. A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations Indiana University Mathematics Journal. 49: 221-243. DOI: 10.1512/Iumj.2000.49.1838  0.752
2000 Clark S, Latushkin Y, Montgomery-Smith S, Randolph T. Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach Siam Journal On Control and Optimization. 38: 1757-1793. DOI: 10.1137/S036301299834212X  0.429
1999 Latushkin Y, Layton B. The optimal gap condition for invariant manifolds Discrete and Continuous Dynamical Systems. 5: 233-268. DOI: 10.3934/Dcds.1999.5.233  0.476
1999 Latushkin Y, Schnaubelt R. Evolution semigroups, translation algebras, and exponential dichotomy of cocycles Journal of Differential Equations. 159: 321-369. DOI: 10.1006/Jdeq.1999.3668  0.481
1998 Latushkin Y, Randolph T, Schnaubelt R. Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces Journal of Dynamics and Differential Equations. 10: 489-510. DOI: 10.1023/A:1022609414870  0.441
1997 Gundlach VM, Latushkin Y. Le rayon spectral essentiel de l'opérateur de Ruelle sur des variétés höldériennes Comptes Rendus De L Academie Des Sciences Serie I-Mathematique. 325: 889-894. DOI: 10.1016/S0764-4442(97)80132-2  0.315
1997 Campbell J, Latushkin Y. Sharp estimates in Ruelle theorems for matrix transfer operators Communications in Mathematical Physics. 185: 379-396. DOI: 10.1007/S002200050095  0.333
1997 Chicone C, Latushkin Y. Center Manifolds for Infinite Dimensional Nonautonomous Differential Equations Journal of Differential Equations. 141: 356-399. DOI: 10.1006/Jdeq.1997.3343  0.539
1996 Chicone C, Latushkin Y, Montgomery-Smith S. The annular hull theorems for the kinematic dynamo operator for an ideally conducting fluid Indiana University Mathematics Journal. 45: 361-379. DOI: 10.1512/Iumj.1996.45.1004  0.404
1996 Latushkin Y. Spectral properties of weighted composition operators and hyperbolicity of linear skew-product flows Illinois Journal of Mathematics. 40: 21-29. DOI: 10.1215/Ijm/1255986186  0.348
1996 Latushkin Y, Montgomery-Smith S, Randolph T. Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers Journal of Differential Equations. 125: 73-116. DOI: 10.1006/Jdeq.1996.0025  0.401
1996 Chicone C, Latushkin Y, Retzloff DG. Chemical reactor dynamics: Stability of steady states Mathematical Methods in the Applied Sciences. 19: 381-400. DOI: 10.1002/(Sici)1099-1476(19960325)19:5<381::Aid-Mma791>3.0.Co;2-S  0.332
1995 Chicone C, Latushkin Y, Montgomery-Smith S. The spectrum of the kinematic dynamo operator for an ideally conducting fluid Communications in Mathematical Physics. 173: 379-400. DOI: 10.1007/Bf02101239  0.441
1995 Latushkin Y, Randolph T. Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators Integral Equations and Operator Theory. 23: 472-500. DOI: 10.1007/Bf01203919  0.398
1995 Latushkin Y, Montgomerysmith S. Evolutionary Semigroups and Lyapunov Theorems in Banach Spaces Journal of Functional Analysis. 127: 173-197. DOI: 10.1006/Jfan.1995.1007  0.458
1994 Latushkin Y, Montgomery-Smith S. Lyapunov theorems for banach spaces Bulletin of the American Mathematical Society. 31: 44-49. DOI: 10.1090/S0273-0979-1994-00495-1  0.457
1994 Latushkin Y. Green's function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems Journal of Dynamics and Differential Equations. 6: 1-21. DOI: 10.1007/Bf02219185  0.424
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