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Author ID: schnaubelt.roland Recent zbMATH articles by "Schnaubelt, Roland"
Published as: Schnaubelt, Roland; Schnaubelt, R.
all top 5

Serials

7 Journal of Mathematical Analysis and Applications
6 Journal of Differential Equations
5 Journal of Evolution Equations
4 Archiv der Mathematik
3 Semigroup Forum
3 Differential and Integral Equations
3 Advances in Differential Equations
3 Discrete and Continuous Dynamical Systems
2 Nonlinearity
2 Integral Equations and Operator Theory
2 Journal of Functional Analysis
2 Mathematische Nachrichten
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Systems & Control Letters
2 MCSS. Mathematics of Control, Signals, and Systems
2 Forum Mathematicum
2 Journal of Dynamics and Differential Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Analysis
2 Evolution Equations and Control Theory
1 Applicable Analysis
1 Houston Journal of Mathematics
1 Studia Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Bulletin of the London Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Journal of Operator Theory
1 Zeitschrift für Analysis und ihre Anwendungen
1 Note di Matematica
1 IMA Journal of Mathematical Control and Information
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Taiwanese Journal of Mathematics
1 Communications in Mathematical Sciences
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Oberwolfach Reports
1 Graduate Texts in Mathematics
1 Oberwolfach Seminars
1 Mathematical Modelling of Natural Phenomena
1 Trends in Mathematics
1 Mathematik Kompakt
1 Pure and Applied Analysis

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 1,141 times in 780 Documents Cited by Year
One-parameter semigroups for linear evolution equations. Zbl 0952.47036
Engel, Klaus-Jochen; Nagel, Rainer
2000
Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line. Zbl 0977.34056
Nguyen Van Minh; Räbiger, Frank; Schnaubelt, Roland
126
1998
Polynomial stability of operator semigroups. Zbl 1118.47034
Bátkai, András; Engel, Klaus-Jochen; Prüss, Jan; Schnaubelt, Roland
78
2006
The domain of the Ornstein-Uhlenbeck operator on an \(L^p\)-space with invariant measure. Zbl 1170.35375
Prüss, Jan; Metafune, Giorgio; Rhandi, Abdelaziz; Schnaubelt, Roland
55
2002
Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time. Zbl 0994.35076
Prüss, Jan; Schnaubelt, Roland
48
2001
Almost periodicity of inhomogeneous parabolic evolution equations. Zbl 1047.35078
Maniar, Lahcen; Schnaubelt, Roland
44
2003
Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights. Zbl 1250.46022
Meyries, Martin; Schnaubelt, Roland
41
2012
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
36
1998
\(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385
Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A.
35
2005
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions. Zbl 0897.47037
Räbiger, Frank; Schnaubelt, Roland
33
1996
Well-posedness and asymptotic behaviour of non-autonomous linear evolution equations. Zbl 1044.34016
Schnaubelt, Roland
33
2002
Sufficient conditions for exponential stability and dichotomy of evolution equations. Zbl 0936.34038
Schnaubelt, Roland
30
1999
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
25
1999
Asymptotic behaviour of parabolic nonautonomous evolution equations. Zbl 1082.35092
Schnaubelt, Roland
25
2004
Asymptotic behaviour of a non-autonomous population equation with diffusion in \(L^1\). Zbl 1002.92016
Rhandi, Abdelaziz; Schnaubelt, Roland
25
1999
A structurally damped plate equation with Dirichlet-Neumann boundary conditions. Zbl 1333.35272
Denk, Robert; Schnaubelt, Roland
23
2015
The domain of elliptic operators on \(L^p(\mathbb R^d)\) with unbounded drift coefficients. Zbl 1229.35043
Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
23
2006
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
21
2006
\(L^p\)-theory for elliptic operators on \(\mathbb R^d\) with singular coefficients. Zbl 1097.35060
Metafune, Giorgio; Pallara, Diego; Prüss, Jan; Schnaubelt, Roland
21
2005
Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions. Zbl 1387.35339
Meyries, Martin; Schnaubelt, Roland
20
2012
Non-autonomous Miyadera perturbations. Zbl 0980.34056
Räbiger, Frank; Schnaubelt, Roland; Rhandi, Abdelaziz; Voigt, Jürgen
19
2000
Feedbacks for nonautonomous regular linear systems. Zbl 1028.93018
Schnaubelt, Roland
19
2002
Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland
19
2015
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
2008
Asymptotically autonomous parabolic evolution equations. Zbl 1098.34551
Schnaubelt, Roland
16
2001
Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. Zbl 1162.47034
Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
14
2009
Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1168.35021
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
14
2008
Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. Zbl 1339.65152
Eilinghoff, Johannes; Schnaubelt, Roland; Schratz, Katharina
13
2016
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
13
2007
Null controllability for parabolic equations with dynamic boundary conditions. Zbl 1366.93058
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland
13
2017
Exponential bounds and hyperbolicity of evolution families. Zbl 0880.47025
Schnaubelt, Roland
12
1996
Structurally damped plate and wave equations with random point force in arbitrary space dimensions. Zbl 1240.60189
Schnaubelt, Roland; Veraar, Mark
11
2010
Stochastic equations with boundary noise. Zbl 1254.60069
Schnaubelt, Roland; Veraar, Mark
10
2011
Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Zbl 1401.78013
Eilinghoff, Johannes; Schnaubelt, Roland
9
2018
Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091
Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland
9
2005
Local well-posedness of a quasilinear wave equation. Zbl 1350.35128
Dörfler, Willy; Gerner, Hannes; Schnaubelt, Roland
8
2016
Uniqueness for elliptic operators on \(L^p(\mathbb R^N)\) with unbounded coefficients. Zbl 1193.35236
Metafune, Giorgio; Pallara, Diego; Rabier, Patrick J.; Schnaubelt, Roland
7
2010
The non-autonomous Kato class. Zbl 0939.35081
Schnaubelt, Roland; Voigt, Jürgen
7
1999
Perturbation and an abstract characterization of evolution semigroups. Zbl 0884.47017
Räbiger, Frank; Rhandi, Abdelaziz; Schnaubelt, Roland
7
1996
Two classes of passive time-varying well-posed linear systems. Zbl 1202.93063
Schnaubelt, Roland; Weiss, George
7
2010
Polynomial stability for a system of coupled strings. Zbl 1406.35185
Rzepnicki, Łukasz; Schnaubelt, Roland
7
2018
Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions. Zbl 1235.35139
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
6
2012
Mathematical models in biology. (Mathematische Modelle in der Biologie.) Zbl 1314.92004
Prüß, Jan W.; Schnaubelt, Roland; Zacher, Rico
6
2008
An extension of Kato’s stability condition for nonautonomous Cauchy problems. Zbl 0927.47030
Nickel, Gregor; Schnaubelt, Roland
6
1998
Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions. Zbl 1001.35047
Lumer, Günter; Schnaubelt, Roland
6
2001
Stability of dispersion managed solitons for vanishing average dispersion. Zbl 1311.35287
Hundertmark, Dirk; Kunstmann, Peer; Schnaubelt, Roland
5
2015
Strang splitting for a semilinear Schrödinger equation with damping and forcing. Zbl 1370.65057
Jahnke, Tobias; Mikl, Marcel; Schnaubelt, Roland
5
2017
Blow-up for nonlinear Maxwell equations. Zbl 1391.35075
D’Ancona, Piero; Nicaise, Serge; Schnaubelt, Roland
5
2018
The Fredholm alternative for parabolic evolution equations with inhomogeneous boundary conditions. Zbl 1126.34038
Maniar, Lahcen; Schnaubelt, Roland
5
2007
A sufficient condition for exponential dichotomy of parabolic evolution equations. Zbl 0973.35121
Schnaubelt, Roland
5
2001
A characteristic equation for non-autonomous partial functional differential equations. Zbl 1010.34076
Gühring, Gabriele; Räbiger, Frank; Schnaubelt, Roland
5
2002
Parabolic evolution equations with asymptotically autonomous delay. Zbl 1054.35118
Schnaubelt, Roland
5
2004
Almost periodicity of parabolic evolution equations with inhomogeneous boundary values. Zbl 1197.47055
Baroun, Mahmoud; Maniar, Lahcen; Schnaubelt, Roland
5
2009
One-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1261.47065
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
5
2013
Exponential decay of quasilinear Maxwell equations with interior conductivity. Zbl 1447.35310
Lasiecka, Irena; Pokojovy, Michael; Schnaubelt, Roland
4
2019
Second order elliptic operators in \(L^2\) with first order degeneration at the boundary and outward pointing drift. Zbl 1422.35124
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
4
2015
Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. Zbl 1422.78003
Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland
4
2019
Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169
Schnaubelt, Roland
4
2017
Boundary stabilization of quasilinear Maxwell equations. Zbl 1428.35568
Pokojovy, Michael; Schnaubelt, Roland
4
2020
Feedback theory for time-varying regular linear systems with input and state delays. Zbl 1141.93029
Hadd, Said; Rhandi, Abdelaziz; Schnaubelt, Roland
4
2008
Robustness of Fredholm properties of parabolic evolution equations under boundary perturbations. Zbl 1145.35063
Maniar, Lahcen; Schnaubelt, Roland
4
2008
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Zbl 1524.35627
Schnaubelt, Roland; Spitz, Martin
4
2022
Biharmonic wave maps: local wellposedness in high regularity. Zbl 1481.35285
Herr, Sebastian; Lamm, Tobias; Schmid, Tobias; Schnaubelt, Roland
3
2020
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Zbl 1480.35372
Schnaubelt, Roland; Spitz, Martin
3
2021
Biharmonic wave maps into spheres. Zbl 1430.35161
Herr, Sebastian; Lamm, Tobias; Schnaubelt, Roland
3
2020
On quasilinear Maxwell equations in two dimensions. Zbl 1508.35177
Schippa, Robert; Schnaubelt, Roland
3
2022
Observability of polynomially stable systems. Zbl 1111.93010
Jacob, Birgit; Schnaubelt, Roland
3
2007
\(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1454.35239
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
3
2021
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
3
2016
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
3
2005
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland
2
2018
The spectral mapping theorem for evolution semigroups on \(L^p\) associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
2
1999
Spectrum of the infinite-dimensional Laplacian. Zbl 0973.35194
Metafune, Giorgio; Rhandi, Abdelaziz; Schnaubelt, Roland
2
2000
Asymptotic behaviour of parabolic problems with delays in the highest order derivatives. Zbl 1074.34074
Bátkai, András; Schnaubelt, Roland
2
2004
\(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients. Zbl 1191.47054
Geissert, Matthias; Lorenzi, Luca; Schnaubelt, Roland
2
2010
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2
2014
Semilinear observation systems. Zbl 1281.93027
Baroun, M.; Jacob, B.; Maniar, L.; Schnaubelt, R.
2
2013
The domain of the Schrödinger operator \(-\Delta+x^2y^2\). Zbl 1121.35033
Metafune, Giorgio; Schnaubelt, Roland
1
2006
Local operator methods and time dependent parabolic equations on non-cylindrical domains. Zbl 0938.35067
Lumer, Günter; Schnaubelt, Roland
1
1999
Exponential and polynomial dichotomies of operator semigroups on Banach spaces. Zbl 1106.47037
Schnaubelt, Roland
1
2006
Absorption evolution families and exponential stability of non-autonomous diffusion equations. Zbl 1015.34041
Räbiger, Frank; Schnaubelt, Roland
1
1999
Multi-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1490.35120
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
1
2022
Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474
D’Ancona, Piero; Schnaubelt, Roland
1
2022
Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009
1
2017
Regularity of stochastic Volterra equations by functional calculus methods. Zbl 1364.60086
Schnaubelt, Roland; Veraar, Mark
1
2017
Rigorous envelope approximation for interface wave packets in Maxwell’s equations with two dimensional localization. Zbl 07764525
Dohnal, Tomáš; Schnaubelt, Roland; Tietz, Daniel P.
1
2023
Rigorous envelope approximation for interface wave packets in Maxwell’s equations with two dimensional localization. Zbl 07764525
Dohnal, Tomáš; Schnaubelt, Roland; Tietz, Daniel P.
1
2023
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions. Zbl 1524.35627
Schnaubelt, Roland; Spitz, Martin
4
2022
On quasilinear Maxwell equations in two dimensions. Zbl 1508.35177
Schippa, Robert; Schnaubelt, Roland
3
2022
Multi-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1490.35120
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
1
2022
Global Strichartz estimates for an inhomogeneous Maxwell system. Zbl 1490.35474
D’Ancona, Piero; Schnaubelt, Roland
1
2022
Local wellposedness of quasilinear Maxwell equations with absorbing boundary conditions. Zbl 1480.35372
Schnaubelt, Roland; Spitz, Martin
3
2021
\(L^p\)-spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators. Zbl 1454.35239
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
3
2021
Boundary stabilization of quasilinear Maxwell equations. Zbl 1428.35568
Pokojovy, Michael; Schnaubelt, Roland
4
2020
Biharmonic wave maps: local wellposedness in high regularity. Zbl 1481.35285
Herr, Sebastian; Lamm, Tobias; Schmid, Tobias; Schnaubelt, Roland
3
2020
Biharmonic wave maps into spheres. Zbl 1430.35161
Herr, Sebastian; Lamm, Tobias; Schnaubelt, Roland
3
2020
Exponential decay of quasilinear Maxwell equations with interior conductivity. Zbl 1447.35310
Lasiecka, Irena; Pokojovy, Michael; Schnaubelt, Roland
4
2019
Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. Zbl 1422.78003
Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland
4
2019
Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations. Zbl 1401.78013
Eilinghoff, Johannes; Schnaubelt, Roland
9
2018
Polynomial stability for a system of coupled strings. Zbl 1406.35185
Rzepnicki, Łukasz; Schnaubelt, Roland
7
2018
Blow-up for nonlinear Maxwell equations. Zbl 1391.35075
D’Ancona, Piero; Nicaise, Serge; Schnaubelt, Roland
5
2018
Error analysis of implicit Runge-Kutta methods for quasilinear hyperbolic evolution equations. Zbl 1387.65100
Hochbruck, Marlis; Pažur, Tomislav; Schnaubelt, Roland
2
2018
Null controllability for parabolic equations with dynamic boundary conditions. Zbl 1366.93058
Maniar, Lahcen; Meyries, Martin; Schnaubelt, Roland
13
2017
Strang splitting for a semilinear Schrödinger equation with damping and forcing. Zbl 1370.65057
Jahnke, Tobias; Mikl, Marcel; Schnaubelt, Roland
5
2017
Stable and unstable manifolds for quasilinear parabolic problems with fully nonlinear dynamical boundary conditions. Zbl 1377.35169
Schnaubelt, Roland
4
2017
Preface. Special issue dedicated to Jan Prüss on the occasion of his 65th birthday. Zbl 1362.01009
1
2017
Regularity of stochastic Volterra equations by functional calculus methods. Zbl 1364.60086
Schnaubelt, Roland; Veraar, Mark
1
2017
Fractional error estimates of splitting schemes for the nonlinear Schrödinger equation. Zbl 1339.65152
Eilinghoff, Johannes; Schnaubelt, Roland; Schratz, Katharina
13
2016
Local well-posedness of a quasilinear wave equation. Zbl 1350.35128
Dörfler, Willy; Gerner, Hannes; Schnaubelt, Roland
8
2016
Strong convergence of solutions to nonautonomous Kolmogorov equations. Zbl 1342.35129
Lorenzi, Luca; Lunardi, Alessandra; Schnaubelt, Roland
3
2016
A structurally damped plate equation with Dirichlet-Neumann boundary conditions. Zbl 1333.35272
Denk, Robert; Schnaubelt, Roland
23
2015
Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018
Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland
19
2015
Stability of dispersion managed solitons for vanishing average dispersion. Zbl 1311.35287
Hundertmark, Dirk; Kunstmann, Peer; Schnaubelt, Roland
5
2015
Second order elliptic operators in \(L^2\) with first order degeneration at the boundary and outward pointing drift. Zbl 1422.35124
Fornaro, Simona; Metafune, Giorgio; Pallara, Diego; Schnaubelt, Roland
4
2015
Reduction principle and asymptotic phase for center manifolds of parabolic systems with nonlinear boundary conditions. Zbl 1295.35253
Johnson, Russell; Latushkin, Yuri; Schnaubelt, Roland
2
2014
One-dimensional degenerate operators in \(L^p\)-spaces. Zbl 1261.47065
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
5
2013
Semilinear observation systems. Zbl 1281.93027
Baroun, M.; Jacob, B.; Maniar, L.; Schnaubelt, R.
2
2013
Interpolation, embeddings and traces of anisotropic fractional Sobolev spaces with temporal weights. Zbl 1250.46022
Meyries, Martin; Schnaubelt, Roland
41
2012
Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions. Zbl 1387.35339
Meyries, Martin; Schnaubelt, Roland
20
2012
Degenerate operators of Tricomi type in \(L^p\)-spaces and in spaces of continuous functions. Zbl 1235.35139
Fornaro, S.; Metafune, G.; Pallara, D.; Schnaubelt, R.
6
2012
Stochastic equations with boundary noise. Zbl 1254.60069
Schnaubelt, Roland; Veraar, Mark
10
2011
Structurally damped plate and wave equations with random point force in arbitrary space dimensions. Zbl 1240.60189
Schnaubelt, Roland; Veraar, Mark
11
2010
Uniqueness for elliptic operators on \(L^p(\mathbb R^N)\) with unbounded coefficients. Zbl 1193.35236
Metafune, Giorgio; Pallara, Diego; Rabier, Patrick J.; Schnaubelt, Roland
7
2010
Two classes of passive time-varying well-posed linear systems. Zbl 1202.93063
Schnaubelt, Roland; Weiss, George
7
2010
\(L^p\)-regularity for parabolic operators with unbounded time-dependent coefficients. Zbl 1191.47054
Geissert, Matthias; Lorenzi, Luca; Schnaubelt, Roland
2
2010
Global properties of generalized Ornstein–Uhlenbeck operators on \(L^p(\mathbb R^N, \mathbb R^N)\)with more than linearly growing coefficients. Zbl 1162.47034
Hieber, Matthias; Lorenzi, Luca; Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
14
2009
Almost periodicity of parabolic evolution equations with inhomogeneous boundary values. Zbl 1197.47055
Baroun, Mahmoud; Maniar, Lahcen; Schnaubelt, Roland
5
2009
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
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
14
2008
Mathematical models in biology. (Mathematische Modelle in der Biologie.) Zbl 1314.92004
Prüß, Jan W.; Schnaubelt, Roland; Zacher, Rico
6
2008
Feedback theory for time-varying regular linear systems with input and state delays. Zbl 1141.93029
Hadd, Said; Rhandi, Abdelaziz; Schnaubelt, Roland
4
2008
Robustness of Fredholm properties of parabolic evolution equations under boundary perturbations. Zbl 1145.35063
Maniar, Lahcen; Schnaubelt, Roland
4
2008
Dichotomy and Fredholm properties of evolution equations. Zbl 1134.47302
Latushkin, Yuri; Pogan, Alin; Schnaubelt, Roland
13
2007
The Fredholm alternative for parabolic evolution equations with inhomogeneous boundary conditions. Zbl 1126.34038
Maniar, Lahcen; Schnaubelt, Roland
5
2007
Observability of polynomially stable systems. Zbl 1111.93010
Jacob, Birgit; Schnaubelt, Roland
3
2007
Polynomial stability of operator semigroups. Zbl 1118.47034
Bátkai, András; Engel, Klaus-Jochen; Prüss, Jan; Schnaubelt, Roland
78
2006
The domain of elliptic operators on \(L^p(\mathbb R^d)\) with unbounded drift coefficients. Zbl 1229.35043
Prüss, Jan; Rhandi, Abdelaziz; Schnaubelt, Roland
23
2006
Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. Zbl 1113.35110
Latushkin, Yuri; Prüss, Jan; Schnaubelt, Roland
21
2006
The domain of the Schrödinger operator \(-\Delta+x^2y^2\). Zbl 1121.35033
Metafune, Giorgio; Schnaubelt, Roland
1
2006
Exponential and polynomial dichotomies of operator semigroups on Banach spaces. Zbl 1106.47037
Schnaubelt, Roland
1
2006
\(L^p\)-regularity for elliptic operators with unbounded coefficients. Zbl 1156.35385
Metafune, G.; Prüss, J.; Schnaubelt, R.; Rhandi, A.
35
2005
\(L^p\)-theory for elliptic operators on \(\mathbb R^d\) with singular coefficients. Zbl 1097.35060
Metafune, Giorgio; Pallara, Diego; Prüss, Jan; Schnaubelt, Roland
21
2005
Optimal regularity and Fredholm properties of abstract parabolic operators in \(L^{p}\) spaces on the real line. Zbl 1085.35091
Di Giorgio, Davide; Lunardi, Alessandra; Schnaubelt, Roland
9
2005
Regularization and frequency-domain stability of well-posed systems. Zbl 1110.93048
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
3
2005
Asymptotic behaviour of parabolic nonautonomous evolution equations. Zbl 1082.35092
Schnaubelt, Roland
25
2004
Parabolic evolution equations with asymptotically autonomous delay. Zbl 1054.35118
Schnaubelt, Roland
5
2004
Asymptotic behaviour of parabolic problems with delays in the highest order derivatives. Zbl 1074.34074
Bátkai, András; Schnaubelt, Roland
2
2004
Almost periodicity of inhomogeneous parabolic evolution equations. Zbl 1047.35078
Maniar, Lahcen; Schnaubelt, Roland
44
2003
The domain of the Ornstein-Uhlenbeck operator on an \(L^p\)-space with invariant measure. Zbl 1170.35375
Prüss, Jan; Metafune, Giorgio; Rhandi, Abdelaziz; Schnaubelt, Roland
55
2002
Well-posedness and asymptotic behaviour of non-autonomous linear evolution equations. Zbl 1044.34016
Schnaubelt, Roland
33
2002
Feedbacks for nonautonomous regular linear systems. Zbl 1028.93018
Schnaubelt, Roland
19
2002
A characteristic equation for non-autonomous partial functional differential equations. Zbl 1010.34076
Gühring, Gabriele; Räbiger, Frank; Schnaubelt, Roland
5
2002
Solvability and maximal regularity of parabolic evolution equations with coefficients continuous in time. Zbl 0994.35076
Prüss, Jan; Schnaubelt, Roland
48
2001
Asymptotically autonomous parabolic evolution equations. Zbl 1098.34551
Schnaubelt, Roland
16
2001
Time-dependent parabolic problems on non-cylindrical domains with inhomogeneous boundary conditions. Zbl 1001.35047
Lumer, Günter; Schnaubelt, Roland
6
2001
A sufficient condition for exponential dichotomy of parabolic evolution equations. Zbl 0973.35121
Schnaubelt, Roland
5
2001
One-parameter semigroups for linear evolution equations. Zbl 0952.47036
Engel, Klaus-Jochen; Nagel, Rainer
2000
Non-autonomous Miyadera perturbations. Zbl 0980.34056
Räbiger, Frank; Schnaubelt, Roland; Rhandi, Abdelaziz; Voigt, Jürgen
19
2000
Spectrum of the infinite-dimensional Laplacian. Zbl 0973.35194
Metafune, Giorgio; Rhandi, Abdelaziz; Schnaubelt, Roland
2
2000
Sufficient conditions for exponential stability and dichotomy of evolution equations. Zbl 0936.34038
Schnaubelt, Roland
30
1999
Evolution semigroups, translation algebras, and exponential dichotomy of cocycles. Zbl 0962.34035
Latushkin, Yuri; Schnaubelt, Roland
25
1999
Asymptotic behaviour of a non-autonomous population equation with diffusion in \(L^1\). Zbl 1002.92016
Rhandi, Abdelaziz; Schnaubelt, Roland
25
1999
The non-autonomous Kato class. Zbl 0939.35081
Schnaubelt, Roland; Voigt, Jürgen
7
1999
The spectral mapping theorem for evolution semigroups on \(L^p\) associated with strongly continuous cocycles. Zbl 0937.47047
Latushkin, Y.; Schnaubelt, R.
2
1999
Local operator methods and time dependent parabolic equations on non-cylindrical domains. Zbl 0938.35067
Lumer, Günter; Schnaubelt, Roland
1
1999
Absorption evolution families and exponential stability of non-autonomous diffusion equations. Zbl 1015.34041
Räbiger, Frank; Schnaubelt, Roland
1
1999
Exponential stability, exponential expansiveness, and exponential dichotomy of evolution equations on the half-line. Zbl 0977.34056
Nguyen Van Minh; Räbiger, Frank; Schnaubelt, Roland
126
1998
Exponential dichotomy and mild solutions of nonautonomous equations in Banach spaces. Zbl 0908.34045
Latushkin, Y.; Randolph, T.; Schnaubelt, R.
36
1998
An extension of Kato’s stability condition for nonautonomous Cauchy problems. Zbl 0927.47030
Nickel, Gregor; Schnaubelt, Roland
6
1998
The spectral mapping theorem for evolution semigroups on spaces of vector-valued functions. Zbl 0897.47037
Räbiger, Frank; Schnaubelt, Roland
33
1996
Exponential bounds and hyperbolicity of evolution families. Zbl 0880.47025
Schnaubelt, Roland
12
1996
Perturbation and an abstract characterization of evolution semigroups. Zbl 0884.47017
Räbiger, Frank; Rhandi, Abdelaziz; Schnaubelt, Roland
7
1996
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Cited by 850 Authors

39 Schnaubelt, Roland
27 Nguyen Thieu Huy
24 Maniar, Lahcen
20 Sasu, Adina Luminiţa
20 Sasu, Bogdan
16 Preda, Ciprian
15 Lorenzi, Luca
13 Diagana, Toka
12 Dragičević, Davor
12 Prüß, Jan Wilhelm
12 Veraar, Mark C.
11 Barreira, Luis Manuel
11 Metafune, Giorgio
11 Nguyen Van Minh
11 Valls Anglés, Cláudia
11 Vu Thi Ngoc Ha
10 Nicaise, Serge
10 Preda, Petre
9 Pallara, Diego
8 Boulite, Said
8 Buşe, Constantin
8 Paunonen, Lassi
8 Rhandi, Abdelaziz
7 Angiuli, Luciana
7 Denk, Robert
7 Hieber, Matthias
7 Lunardi, Alessandra
7 Megan, Mihail
7 Shibata, Yoshihiro
7 Wilke, Mathias
6 Addona, Davide
6 Chill, Ralph
6 Ding, Huisheng
6 Fu, Xianlong
6 Hadd, Said
6 Latushkin, Yuri
6 Lindemulder, Nick
6 Ospanov, Kordan Nauryzkhanovich
6 Priola, Enrico
6 Schratz, Katharina
6 Tomilov, Yuri
6 van Neerven, Jan M. A. M.
5 Abels, Helmut
5 Baroun, Mahmoud
5 Batty, Charles J. K.
5 Cappa, Gianluca
5 Chorfi, Salah-Eddine
5 Da Prato, Giuseppe
5 Ferrari, Simone
5 Fornaro, Simona
5 Kostić, Marko
5 Liu, Zhuangyi
5 Meyries, Martin
5 Muñoz Rivera, Jaime Edilberto
5 N’Guérékata, Gaston Mandata
5 O’Regan, Donal
5 Ostermann, Alexander
5 Popescu, Liviu Horia
5 Schmid, Jochen
5 Simonett, Gieri
5 Yan, Dongxue
5 Zacher, Rico
4 Bounit, Hamid
4 Ezzinbi, Khalil
4 Farkas, Bálint
4 Gulisashvili, Archil
4 Hochbruck, Marlis
4 Hu, Zhanrong
4 Jacob, Birgit
4 Jahnke, Tobias
4 Jendoubi, Chiraz
4 Jin, Zhen
4 Khalil, Kamal
4 Lasiecka, Irena
4 Liang, Jin
4 Mangino, Elisabetta M.
4 Meinlschmidt, Hannes
4 Naito, Toshiki
4 Nikolić, Vanja
4 Oukdach, Omar
4 Pham Viet Hai
4 Pogan, Alin
4 Pokojovy, Michael
4 Räbiger, Frank
4 Rehberg, Joachim
4 Rousset, Frédéric
4 Saierli, Olivia
4 Seifert, David
4 Sobajima, Motohiro
4 Tcheugoué Tébou, Louis Roder
4 Trinh Viet Duoc
4 Walker, Christoph
4 Weiss, George
4 Winkler, Michael
4 Xiao, Ti-Jun
4 Yan, Zuomao
4 Zhang, Qiong
3 Agresti, Antonio
3 Arendt, Wolfgang
3 Augner, Björn
...and 750 more Authors
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Cited in 215 Serials

73 Journal of Mathematical Analysis and Applications
58 Journal of Differential Equations
45 Journal of Evolution Equations
27 Journal of Functional Analysis
18 Semigroup Forum
16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Evolution Equations and Control Theory
12 Discrete and Continuous Dynamical Systems. Series B
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 Mathematische Nachrichten
9 Applicable Analysis
9 Integral Equations and Operator Theory
9 SIAM Journal on Mathematical Analysis
9 Nonlinear Analysis. Real World Applications
9 Communications on Pure and Applied Analysis
9 Mediterranean Journal of Mathematics
8 Computers & Mathematics with Applications
8 Systems & Control Letters
8 MCSS. Mathematics of Control, Signals, and Systems
8 Abstract and Applied Analysis
8 Advances in Difference Equations
7 Mathematical Methods in the Applied Sciences
7 Archiv der Mathematik
7 Numerische Mathematik
7 Proceedings of the American Mathematical Society
7 Transactions of the American Mathematical Society
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Discrete and Continuous Dynamical Systems
7 Discrete and Continuous Dynamical Systems. Series S
6 Mathematische Zeitschrift
6 Monatshefte für Mathematik
6 SIAM Journal on Control and Optimization
6 SIAM Journal on Numerical Analysis
5 Archive for Rational Mechanics and Analysis
5 Applied Mathematics and Computation
5 Potential Analysis
5 Journal of Mathematical Sciences (New York)
5 Journal of Mathematical Fluid Mechanics
4 Nonlinearity
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Czechoslovak Mathematical Journal
4 Mathematical and Computer Modelling
4 NoDEA. Nonlinear Differential Equations and Applications
4 Bulletin des Sciences Mathématiques
4 Eurasian Mathematical Journal
3 Communications in Mathematical Physics
3 International Journal of Control
3 Journal of Computational Physics
3 Journal of Mathematical Biology
3 Mathematics of Computation
3 Annales Polonici Mathematici
3 Automatica
3 Mathematische Annalen
3 Results in Mathematics
3 Acta Applicandae Mathematicae
3 Journal of Integral Equations and Applications
3 The Journal of Geometric Analysis
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 Journal of Dynamics and Differential Equations
3 Journal of Difference Equations and Applications
3 Discrete Dynamics in Nature and Society
3 Dynamical Systems
3 Stochastics and Dynamics
3 Bulletin of the Brazilian Mathematical Society. New Series
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
3 Mathematical Control and Related Fields
2 Inverse Problems
2 Journal of Mathematical Physics
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 Acta Mathematica Vietnamica
2 Journal of the Mathematical Society of Japan
2 Siberian Mathematical Journal
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Forum Mathematicum
2 SIAM Journal on Applied Mathematics
2 Indagationes Mathematicae. New Series
2 Journal of Nonlinear Science
2 Journal of Inverse and Ill-Posed Problems
2 Electronic Journal of Probability
2 Vietnam Journal of Mathematics
2 Positivity
2 Infinite Dimensional Analysis, Quantum Probability and Related Topics
2 Fractional Calculus & Applied Analysis
2 Journal of the European Mathematical Society (JEMS)
2 Journal of Dynamical and Control Systems
2 Qualitative Theory of Dynamical Systems
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Foundations of Computational Mathematics
2 Computational Methods in Applied Mathematics
2 Portugaliae Mathematica. Nova Série
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Milan Journal of Mathematics
2 Boundary Value Problems
2 Operators and Matrices
2 Kinetic and Related Models
2 Analysis & PDE
2 Journal of Nonlinear Science and Applications
2 Differential Equations and Applications
...and 115 more Serials
all top 5

Cited in 40 Fields

448 Partial differential equations (35-XX)
300 Operator theory (47-XX)
231 Ordinary differential equations (34-XX)
98 Systems theory; control (93-XX)
82 Dynamical systems and ergodic theory (37-XX)
63 Probability theory and stochastic processes (60-XX)
57 Numerical analysis (65-XX)
52 Biology and other natural sciences (92-XX)
43 Functional analysis (46-XX)
39 Fluid mechanics (76-XX)
37 Difference and functional equations (39-XX)
33 Mechanics of deformable solids (74-XX)
30 Optics, electromagnetic theory (78-XX)
29 Harmonic analysis on Euclidean spaces (42-XX)
17 Abstract harmonic analysis (43-XX)
12 Integral equations (45-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
11 Global analysis, analysis on manifolds (58-XX)
11 Quantum theory (81-XX)
10 Differential geometry (53-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Real functions (26-XX)
6 Integral transforms, operational calculus (44-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Measure and integration (28-XX)
4 Potential theory (31-XX)
4 Mechanics of particles and systems (70-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Sequences, series, summability (40-XX)
2 Approximations and expansions (41-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Computer science (68-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year