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## Latushkin, Yuri

Compute Distance To:
 Author ID: latushkin.yuri Published as: Latushkin, Y.; Latushkin, Yuri External Links: ORCID
 Documents Indexed: 86 Publications since 1992, including 1 Book Reviewing Activity: 11 Reviews
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#### Co-Authors

 2 single-authored 10 Sukhtayev, Alim 9 Schnaubelt, Roland 8 Gesztesy, Fritz 7 Jones, Christopher K. R. T. 6 Ghazaryan, Anna 6 Montgomery-Smith, Stephen J. 5 Chicone, Carmen C. 5 Randolph, Timothy W. 5 Sukhtaiev, Selim 4 Cox, Graham 4 Grudsky, Sergei Mikhailovich 4 Pogan, Alin 4 Schecter, Stephen 4 Shapiro, Michael V. 4 Shvydkoy, Roman V. 4 Tomilov, Yuri 3 Beck, Margaret 3 Vasudevan, Shibi 2 Cramer, David 2 Gundlach, Volker Matthias 2 Howard, Peter 2 Makarov, Konstantin A. 2 Marangell, Robert 2 Mitrea, Marius 2 Prüß, Jan Wilhelm 2 Stanislavova, Milena 2 Sukochev, Fedor Anatol’evich 2 Yang, Xinyao 2 Zinchenko, Maxim 1 Bátkai, András 1 Berkolaiko, Gregory 1 Beyn, Wolf-Jürgen 1 Blumenthal, Alex 1 Cascaval, Radu C. 1 Clark, Stephen R. 1 Das, Mita 1 de Souza, Aparecido Jesuino 1 Dullin, Holger R. 1 Eisner, Tanja 1 Holden, Helge 1 Johnson, Russell Allan 1 Kawan, Christoph 1 Li, Y. Charles 1 McQuighan, Kelly 1 Räbiger, Frank 1 Retzloff, David G. 1 Rottmann-Matthes, Jens 1 Worthington, Joachim 1 Yurov, Valerian A. 1 Zumbrun, Kevin R.
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#### Serials

 4 Indiana University Mathematics Journal 4 Integral Equations and Operator Theory 4 Journal of Differential Equations 4 Journal of Dynamics and Differential Equations 3 Advances in Mathematics 3 Journal of Functional Analysis 2 Archive for Rational Mechanics and Analysis 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Illinois Journal of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Russian Journal of Mathematical Physics 2 Journal of Mathematical Fluid Mechanics 2 Journal of Evolution Equations 2 Discrete and Continuous Dynamical Systems. Series B 2 Mathematical Modelling of Natural Phenomena 1 Communications in Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Semigroup Forum 1 SIAM Journal on Control and Optimization 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Ergodic Theory and Dynamical Systems 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 MCSS. Mathematics of Control, Signals, and Systems 1 Differential and Integral Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the American Mathematical Society. New Series 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Dynamical Systems 1 Communications on Pure and Applied Analysis 1 Mathematical Surveys and Monographs 1 Complex Analysis and Operator Theory 1 Discrete and Continuous Dynamical Systems. Series S 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 49 Operator theory (47-XX) 39 Partial differential equations (35-XX) 31 Ordinary differential equations (34-XX) 17 Dynamical systems and ergodic theory (37-XX) 8 Fluid mechanics (76-XX) 6 Differential geometry (53-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH

70 Publications have been cited 909 times in 584 Documents Cited by Year
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
1999
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
1997
Evolutionary semigroups and Lyapunov theorems in Banach spaces. Zbl 0878.47024
Latushkin, Yuri; Montgomery-Smith, Stephen
1995
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
2005
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
1998
Fredholm differential operators with unbounded coefficients. Zbl 1061.47039
Latushkin, Yuri; Tomilov, Yuri
2005
Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach. Zbl 0978.47030
Clark, Stephen; Latushkin, Yuri; Montgomery-Smith, Stephen; Randolph, Timothy
2000
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
1999
Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers. Zbl 0881.47020
Latushkin, Y.; Montgomery-Smith, S.; Randolph, T.
1996
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
2006
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
2000
The dichotomy theorem for evolution bi-families. Zbl 1154.47010
Latushkin, Yuri; Pogan, Alin
2008
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
2008
Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026
Latushkin, Yuri; Shvydkoy, Roman
2001
Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators. Zbl 0839.47026
Latushkin, Yuri; Randolph, Timothy
1995
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
2011
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
2007
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
2016
Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models. Zbl 1227.35057
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
2010
Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1168.35021
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
2008
Stability of gasless combustion fronts in one-dimensional solids. Zbl 1248.35209
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen; de Souza, Aparecido J.
2010
The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311
Shvidkoy, Roman; Latushkin, Yuri
2003
The Maslov index for Lagrangian pairs on $$\mathbb{R}^{2 n}$$. Zbl 1377.35073
Howard, P.; Latushkin, Y.; Sukhtayev, A.
2017
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
2013
Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.
2007
Counting spectrum via the Maslov index for one dimensional $$\theta$$-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
2017
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals. Zbl 1318.47021
Beyn, Wolf-Jürgen; Latushkin, Yuri; Rottmann-Matthes, Jens
2014
The optimal gap condition for invariant manifolds. Zbl 0971.34044
Latushkin, Y.; Layton, B.
1999
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
2019
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
2018
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
Stability of traveling waves for degenerate systems of reaction diffusion equations. Zbl 1277.47055
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
2011
The algebraic multiplicity of eigenvalues and the Evans function revisited. Zbl 1193.35110
Latushkin, Y.; Sukhtayev, A.
2010
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
2004
Lyapunov theorems for Banach spaces. Zbl 0815.47052
Latushkin, Y.; Montgomery-Smith, S.
1994
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028
Shvydkoy, Roman; Latushkin, Yuri
2005
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
2005
Gearhart-Prüss theorem in stability for wave equations: a survey. Zbl 1069.47045
Cramer, David; Latushkin, Yuri
2003
The Morse and Maslov indices for Schrödinger operators. Zbl 1407.35073
Latushkin, Yuri; Sukhtaiev, Selim; Sukhtayev, Alim
2018
The infinite dimensional Evans function. Zbl 1308.47051
Latushkin, Yuri; Pogan, Alin
2015
Linear stability in an ideal incompressible fluid. Zbl 1022.35034
Latushkin, Y.; Vishik, Misha M.
2003
The Maslov and Morse indices for system Schrödinger operators on $$\mathbb{R}$$. Zbl 1408.53106
Howard, P.; Latushkin, Y.; Sukhtayev, A.
2018
Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181
Shvydkoy, R.; Latushkin, Y.
2009
The Maslov index and the spectra of second order elliptic operators. Zbl 06863449
Latushkin, Yuri; Sukhtaiev, Selim
2018
Some operator bounds employing complex interpolation revisited. Zbl 1380.47012
Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri
2015
The Evans function and the Weyl-Titchmarsh function. Zbl 1250.35059
Latushkin, Yuri; Sukhtayev, Alim
2012
Derivatives of the Evans function and (modified) Fredholm determinants for first order systems. Zbl 1225.47131
Das, Mita; Latushkin, Yuri
2011
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
2004
Fredholm properties of evolution semigroups. Zbl 1073.34067
Latushkin, Yuri; Tomilov, Yuri
2004
A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces. Zbl 1140.37307
Gundlach, V. M.; Latushkin, Y.
2003
Stability estimates for semigroups on Banach spaces. Zbl 1290.47045
Latushkin, Yuri; Yurov, Valerian
2013
Fredholm determinants and the Evans function for difference equations. Zbl 1118.39300
Cramer, David; Latushkin, Yuri
2007
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
2005
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
1995
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2014
Stability of traveling waves in partly parabolic systems. Zbl 1282.35193
Ghazaryan, A.; Latushkin, Y.; Schecter, S.
2013
The spectral mapping theorem for evolution semigroups on $$L^p$$ associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
1999
Sharp estimates in Ruelle theorems for matrix transfer operators. Zbl 0883.58029
Campbell, J.; Latushkin, Y.
1997
Green’s function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems. Zbl 0819.34039
Latushkin, Yuri
1994
Instability of unidirectional flows for the 2D $$\alpha$$-Euler equations. Zbl 1447.35255
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim
2020
Stability criteria for the 2D $$\alpha$$-Euler equations. Zbl 07027372
Latushkin, Yuri; Vasudevan, Shibi
2019
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin’s operators. Zbl 1419.35154
Latushkin, Yuri; Vasudevan, Shibi
2018
Stability of a planar front in a class of reaction-diffusion systems. Zbl 06958647
Ghazaryan, A.; Latushkin, Y.; Yang, Xinyao
2018
Hadamard-type formulas via the Maslov form. Zbl 1418.34161
Latushkin, Yuri; Sukhtayev, Alim
2017
Scattering in a forked-shaped waveguide. Zbl 1160.34006
Latushkin, Y.; Pivovarchik, V.
2008
Essential spectral radius of Ruelle’s operator on smooth Hölder spaces. Zbl 0905.47021
Gundlach, Volker Matthias; Latushkin, Yuri
1997
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1996
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1995
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1994
Exact Lyapunov exponents and exponentially separated cocycles. Zbl 0797.34053
Latushkin, Y.
1992
Instability of unidirectional flows for the 2D $$\alpha$$-Euler equations. Zbl 1447.35255
Dullin, Holger; Latushkin, Yuri; Marangell, Robert; Vasudevan, Shibi; Worthington, Joachim
2020
Limits of quantum graph operators with shrinking edges. Zbl 1422.81101
Berkolaiko, Gregory; Latushkin, Yuri; Sukhtaiev, Selim
2019
Stability criteria for the 2D $$\alpha$$-Euler equations. Zbl 07027372
Latushkin, Yuri; Vasudevan, Shibi
2019
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach. Zbl 1402.35137
Beck, M.; Cox, G.; Jones, C.; Latushkin, Y.; McQuighan, K.; Sukhtayev, A.
2018
The Morse and Maslov indices for Schrödinger operators. Zbl 1407.35073
Latushkin, Yuri; Sukhtaiev, Selim; Sukhtayev, Alim
2018
The Maslov and Morse indices for system Schrödinger operators on $$\mathbb{R}$$. Zbl 1408.53106
Howard, P.; Latushkin, Y.; Sukhtayev, A.
2018
The Maslov index and the spectra of second order elliptic operators. Zbl 06863449
Latushkin, Yuri; Sukhtaiev, Selim
2018
Eigenvalues of the linearized 2D Euler equations via Birman-Schwinger and Lin’s operators. Zbl 1419.35154
Latushkin, Yuri; Vasudevan, Shibi
2018
Stability of a planar front in a class of reaction-diffusion systems. Zbl 06958647
Ghazaryan, A.; Latushkin, Y.; Yang, Xinyao
2018
The Maslov index for Lagrangian pairs on $$\mathbb{R}^{2 n}$$. Zbl 1377.35073
Howard, P.; Latushkin, Y.; Sukhtayev, A.
2017
Counting spectrum via the Maslov index for one dimensional $$\theta$$-periodic Schrödinger operators. Zbl 1353.53080
Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtaiev, Selim
2017
Hadamard-type formulas via the Maslov form. Zbl 1418.34161
Latushkin, Yuri; Sukhtayev, Alim
2017
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials. Zbl 1351.35028
Cox, Graham; Jones, Christopher K. R. T.; Latushkin, Yuri; Sukhtayev, Alim
2016
Some results on the entropy of non-autonomous dynamical systems. Zbl 1370.37032
Kawan, Christoph; Latushkin, Yuri
2016
The infinite dimensional Evans function. Zbl 1308.47051
Latushkin, Yuri; Pogan, Alin
2015
Some operator bounds employing complex interpolation revisited. Zbl 1380.47012
Gesztesy, Fritz; Latushkin, Yuri; Sukochev, Fedor; Tomilov, Yuri
2015
Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals. Zbl 1318.47021
Beyn, Wolf-Jürgen; Latushkin, Yuri; Rottmann-Matthes, Jens
2014
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2014
The Morse and Maslov indices for matrix Hill’s equations. Zbl 1326.53118
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert
2013
Stability estimates for semigroups on Banach spaces. Zbl 1290.47045
Latushkin, Yuri; Yurov, Valerian
2013
Stability of traveling waves in partly parabolic systems. Zbl 1282.35193
Ghazaryan, A.; Latushkin, Y.; Schecter, S.
2013
The Evans function and the Weyl-Titchmarsh function. Zbl 1250.35059
Latushkin, Yuri; Sukhtayev, Alim
2012
The index formula and the spectral shift function for relatively trace class perturbations. Zbl 1220.47017
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.; Sukochev, Fedor; Tomilov, Yuri
2011
Stability of traveling waves for degenerate systems of reaction diffusion equations. Zbl 1277.47055
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
2011
Derivatives of the Evans function and (modified) Fredholm determinants for first order systems. Zbl 1225.47131
Das, Mita; Latushkin, Yuri
2011
Stability of traveling waves for a class of reaction-diffusion systems that arise in chemical reaction models. Zbl 1227.35057
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen
2010
Stability of gasless combustion fronts in one-dimensional solids. Zbl 1248.35209
Ghazaryan, Anna; Latushkin, Yuri; Schecter, Stephen; de Souza, Aparecido J.
2010
The algebraic multiplicity of eigenvalues and the Evans function revisited. Zbl 1193.35110
Latushkin, Y.; Sukhtayev, A.
2010
Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics. Zbl 1181.35181
Shvydkoy, R.; Latushkin, Y.
2009
The dichotomy theorem for evolution bi-families. Zbl 1154.47010
Latushkin, Yuri; Pogan, Alin
2008
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves. Zbl 1161.47058
Gesztesy, Fritz; Latushkin, Yuri; Zumbrun, Kevin
2008
Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1168.35021
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
2008
Scattering in a forked-shaped waveguide. Zbl 1160.34006
Latushkin, Y.; Pivovarchik, V.
2008
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
2007
Evans functions, Jost functions, and Fredholm determinants. Zbl 1134.34004
Gesztesy, Fritz; Latushkin, Yuri; Makarov, Konstantin A.
2007
Fredholm determinants and the Evans function for difference equations. Zbl 1118.39300
Cramer, David; Latushkin, Yuri
2007
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
2006
Nonselfadjoint operators, infinite determinants, and some applications. Zbl 1201.47028
Gesztesy, F.; Latushkin, Y.; Mitrea, M.; Zinchenko, M.
2005
Fredholm differential operators with unbounded coefficients. Zbl 1061.47039
Latushkin, Yuri; Tomilov, Yuri
2005
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents. Zbl 1329.76028
Shvydkoy, Roman; Latushkin, Yuri
2005
Operator valued Fourier multipliers and stability of strongly continuous semigroups. Zbl 1077.47042
Latushkin, Yuri; Räbiger, Frank
2005
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
2005
The spectrum of a linearized 2D Euler operator. Zbl 1141.35437
Latushkin, Y.; Li, Y. C.; Stanislavova, M.
2004
Spectral analysis of Darboux transformations for the focusing NLS hierarchy. Zbl 1097.34063
Cascaval, Radu C.; Gesztesy, Fritz; Holden, Helge; Latushkin, Yuri
2004
Fredholm properties of evolution semigroups. Zbl 1073.34067
Latushkin, Yuri; Tomilov, Yuri
2004
The essential spectrum of the lienarized 2D Euler operator is a vertical band. Zbl 1109.76311
Shvidkoy, Roman; Latushkin, Yuri
2003
Gearhart-Prüss theorem in stability for wave equations: a survey. Zbl 1069.47045
Cramer, David; Latushkin, Yuri
2003
Linear stability in an ideal incompressible fluid. Zbl 1022.35034
Latushkin, Y.; Vishik, Misha M.
2003
A sharp formula for the essential spectral radius of the Ruelle transfer operator on smooth and Hölder spaces. Zbl 1140.37307
Gundlach, V. M.; Latushkin, Y.
2003
Hyperbolicity of semigroups and Fourier multipliers. Zbl 1036.47026
Latushkin, Yuri; Shvydkoy, Roman
2001
Stability radius and internal versus external stability in Banach spaces: An evolution semigroup approach. Zbl 0978.47030
Clark, Stephen; Latushkin, Yuri; Montgomery-Smith, Stephen; Randolph, Timothy
2000
A spectral mapping theorem and invariant manifolds for nonlinear Schrödinger equations. Zbl 0969.35123
Gesztesy, F.; Jones, C. K. R. T.; Latushkin, Y.; Stanislavova, M.
2000
Evolution semigroups in dynamical systems and differential equations. Zbl 0970.47027
Chicone, Carmen; Latushkin, Yuri
1999
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
1999
The optimal gap condition for invariant manifolds. Zbl 0971.34044
Latushkin, Y.; Layton, B.
1999
The spectral mapping theorem for evolution semigroups on $$L^p$$ associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
1999
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
1998
Center manifolds for infinite dimensional nonautonomous differential equations. Zbl 0992.34033
Chicone, C.; Latushkin, Y.
1997
Sharp estimates in Ruelle theorems for matrix transfer operators. Zbl 0883.58029
Campbell, J.; Latushkin, Y.
1997
Essential spectral radius of Ruelle’s operator on smooth Hölder spaces. Zbl 0905.47021
Gundlach, Volker Matthias; Latushkin, Yuri
1997
Evolutionary semigroups and dichotomy of linear skew-product flows on locally compact spaces with Banach fibers. Zbl 0881.47020
Latushkin, Y.; Montgomery-Smith, S.; Randolph, T.
1996
Chemical reactor dynamics: Stability of steady states. Zbl 0848.35062
Chicone, C.; Latushkin, Y.; Retzloff, D. G.
1996
Evolutionary semigroups and Lyapunov theorems in Banach spaces. Zbl 0878.47024
Latushkin, Yuri; Montgomery-Smith, Stephen
1995
Dichotomy of differential equations on Banach spaces and an algebra of weighted translation operators. Zbl 0839.47026
Latushkin, Yuri; Randolph, Timothy
1995
The spectrum of the kinematic dynamo operator for an ideally conducting fluid. Zbl 0833.76091
Chicone, C.; Latushkin, Y.; Montgomery-Smith, S.
1995
Quadratic Lyapunov functions for linear skew-product flows and weighted composition operators. Zbl 0813.34056
Chicone, C.; Latushkin, Y.
1995
Lyapunov theorems for Banach spaces. Zbl 0815.47052
Latushkin, Y.; Montgomery-Smith, S.
1994
Green’s function, continual weighted composition operators along trajectories, and hyperbolicity of linear extensions for dynamical systems. Zbl 0819.34039
Latushkin, Yuri
1994
Hyperbolicity and dissipativity. Zbl 0812.34061
Chicone, C.; Latushkin, Y.
1994
Exact Lyapunov exponents and exponentially separated cocycles. Zbl 0797.34053
Latushkin, Y.
1992
all top 5

#### Cited by 603 Authors

 48 Barreira, Luis Manuel 48 Valls Anglés, Cláudia 36 Latushkin, Yuri 23 Gesztesy, Fritz 21 Dragičević, Davor 21 Preda, Ciprian 17 Schnaubelt, Roland 14 Nguyen Van Minh 14 Preda, Petre 12 Sasu, Adina Luminiţa 12 Sasu, Bogdan 11 Baskakov, Anatoliĭ Grigor’evich 11 Sukhtayev, Alim 9 Sukochev, Fedor Anatol’evich 8 Carey, Alan L. 8 Ghazaryan, Anna 8 Jones, Christopher K. R. T. 8 Mitrea, Marius 8 Pogan, Alin 8 Zada, Akbar 8 Zumbrun, Kevin R. 7 Buşe, Constantin 7 Howard, Peter 7 Naito, Toshiki 7 Nguyen Thieu Huy 7 Popescu, Liviu Horia 7 Shvydkoy, Roman V. 7 Sukhtaiev, Selim 7 Tomilov, Yuri 6 Anh, Bui The 6 Cox, Graham 6 Levitina, Galina 6 Lorenzi, Luca 6 O’Regan, Donal 6 Pokutnyĭ, Oleksandr Olekseevich 6 Pötzsche, Christian 6 Prüß, Jan Wilhelm 6 Zhang, Weinian 5 Beck, Margaret 5 Megan, Mihail 5 Paunonen, Lassi 5 Nguyen Khoa Son 5 Van Vleck, Erik S. 4 Boĭchuk, Oleksandr Andriĭovych 4 Duan, Jinqiao 4 Dullin, Holger R. 4 Hu, Zhanrong 4 Jin, Zhen 4 Kmit, Irina 4 Krishtal, Ilya Arkadievich 4 Li, Y. Charles 4 Lu, Kening 4 Lupa, Nicolae 4 Maniar, Lahcen 4 Nichols, Roger 4 Potapov, Denis 4 Roberts, Anthony John 4 Schecter, Stephen 4 Schmalfuß, Björn 4 Siegmund, Stefan 4 Simonett, Gieri 4 Stanislavova, Milena 4 Vasudevan, Shibi 4 Worthington, Joachim 4 Zanin, Dmitriy V. 4 Zhang, Jimin 3 Antonevich, Anatolij Borisovich 3 Bătăran, Florin 3 Batty, Charles J. K. 3 Behrndt, Jussi 3 Beyn, Wolf-Jürgen 3 Bichegkuev, Mairbek Suleĭmanovich 3 Cheban, David Nikolai 3 Chicone, Carmen C. 3 Chu, Jifeng 3 Cornwell, Paul 3 Cuenin, Jean-Claude 3 de la Llave, Rafael 3 Diagana, Toka 3 Doelman, Arjen 3 Fan, Meng 3 Garcke, Harald 3 Grosse, Harald 3 Hansmann, Marcel 3 Hulko, Artem 3 Humpherys, Jeffrey 3 Kaad, Jens 3 Katriel, Guy 3 Kim, Dohan 3 Klyuchnyk, Roman 3 Lafortune, Stéphane 3 Laptev, Ari 3 Lassoued, Dhaou 3 Lebedev, Andreĭ Vladimirovich 3 Leppänen, Juho 3 Liao, Fangfang 3 Lin, Xiaobiao 3 Lin, Zhiwu 3 Lunardi, Alessandra 3 Lyng, Gregory Daniel ...and 503 more Authors
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#### Cited in 172 Serials

 66 Journal of Differential Equations 44 Journal of Mathematical Analysis and Applications 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 19 Journal of Functional Analysis 16 Integral Equations and Operator Theory 14 Journal of Dynamics and Differential Equations 13 Proceedings of the American Mathematical Society 13 Journal of Evolution Equations 12 Archive for Rational Mechanics and Analysis 11 Advances in Mathematics 9 Transactions of the American Mathematical Society 8 Communications in Mathematical Physics 8 Semigroup Forum 8 Journal of Difference Equations and Applications 8 Discrete and Continuous Dynamical Systems 7 Journal d’Analyse Mathématique 6 Journal of Mathematical Physics 6 Monatshefte für Mathematik 6 Systems & Control Letters 6 Journal of Mathematical Sciences (New York) 6 Journal of Mathematical Fluid Mechanics 6 Advances in Difference Equations 5 Mathematical Notes 5 Mathematische Nachrichten 5 MCSS. Mathematics of Control, Signals, and Systems 5 Bulletin des Sciences Mathématiques 5 Abstract and Applied Analysis 5 Qualitative Theory of Dynamical Systems 5 Differential Equations 5 Mediterranean Journal of Mathematics 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 Ukrainian Mathematical Journal 4 Mathematische Annalen 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Mathematical Analysis 4 Russian Journal of Mathematical Physics 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 3 Applicable Analysis 3 Journal of Statistical Physics 3 Mathematical Methods in the Applied Sciences 3 Rocky Mountain Journal of Mathematics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Applied Mathematics and Computation 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Nonlinear Dynamics 3 Dynamical Systems 3 SIAM Journal on Applied Dynamical Systems 3 Discrete and Continuous Dynamical Systems. Series S 2 Communications on Pure and Applied Mathematics 2 Inverse Problems 2 Nonlinearity 2 Reports on Mathematical Physics 2 Bulletin of Mathematical Biology 2 Automatica 2 Functional Analysis and its Applications 2 Indiana University Mathematics Journal 2 Journal of the Korean Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Mathematics and Computers in Simulation 2 Mathematische Zeitschrift 2 Numerische Mathematik 2 Results in Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal of Integral Equations and Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mathematical Problems in Engineering 2 Mathematical Physics, Analysis and Geometry 2 Discrete Dynamics in Nature and Society 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastics and Dynamics 2 Milan Journal of Mathematics 2 Operators and Matrices 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Symmetry 2 Eurasian Mathematical Journal 1 Astrophysics and Space Science 1 Computers & Mathematics with Applications 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal ...and 72 more Serials
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#### Cited in 38 Fields

 240 Ordinary differential equations (34-XX) 222 Operator theory (47-XX) 212 Partial differential equations (35-XX) 155 Dynamical systems and ergodic theory (37-XX) 46 Difference and functional equations (39-XX) 38 Systems theory; control (93-XX) 36 Fluid mechanics (76-XX) 28 Functional analysis (46-XX) 22 Numerical analysis (65-XX) 21 Quantum theory (81-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Probability theory and stochastic processes (60-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Integral equations (45-XX) 10 Differential geometry (53-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 5 Abstract harmonic analysis (43-XX) 5 Mechanics of deformable solids (74-XX) 4 $$K$$-theory (19-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Manifolds and cell complexes (57-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)