Lam, King-Yeung; Lou, Yuan The principal Floquet bundle and the dynamics of fast diffusing communities. (English) Zbl 07785441 Trans. Am. Math. Soc. 377, No. 1, 1-29 (2024). MSC: 35Q92 92D25 92D40 35K57 35B40 76R50 PDFBibTeX XMLCite \textit{K.-Y. Lam} and \textit{Y. Lou}, Trans. Am. Math. Soc. 377, No. 1, 1--29 (2024; Zbl 07785441) Full Text: DOI
Shen, Wenxian; Wang, Yi; Zhou, Dun Almost automorphically-forced flows on \(S^1\) or \(\mathbb{R}\) in one-dimensional almost periodic semilinear heat equations. (English) Zbl 1501.35249 Sci. China, Math. 65, No. 9, 1875-1894 (2022). Reviewer: Zhinan Xia (Hangzhou) MSC: 35K58 37C60 37L05 35B40 PDFBibTeX XMLCite \textit{W. Shen} et al., Sci. China, Math. 65, No. 9, 1875--1894 (2022; Zbl 1501.35249) Full Text: DOI arXiv
Shen, Wenxian; Wang, Yi; Zhou, Dun Non-wandering points for autonomous/periodic parabolic equations on the circle. (English) Zbl 1469.35040 J. Differ. Equations 297, 110-143 (2021). MSC: 35B40 35K57 37L25 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Differ. Equations 297, 110--143 (2021; Zbl 1469.35040) Full Text: DOI arXiv
Shen, Wenxian; Wang, Yi; Zhou, Dun Almost automorphically and almost periodically forced circle flows of almost periodic parabolic equations on \(S^1\). (English) Zbl 1452.35078 J. Dyn. Differ. Equations 32, No. 4, 1687-1729 (2020). MSC: 35K58 35K20 35B15 37L25 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Dyn. Differ. Equations 32, No. 4, 1687--1729 (2020; Zbl 1452.35078) Full Text: DOI arXiv
Shen, Wenxian; Wang, Yi; Zhou, Dun Long-time behavior of almost periodically forced parabolic equations on the circle. (English) Zbl 1404.35054 J. Differ. Equations 266, No. 2-3, 1377-1413 (2019). MSC: 35B40 35K58 35B10 35B15 35K57 PDFBibTeX XMLCite \textit{W. Shen} et al., J. Differ. Equations 266, No. 2--3, 1377--1413 (2019; Zbl 1404.35054) Full Text: DOI
Lu, Kening; Neamţu, Alexandra; Schmalfuss, Björn On the Oseledets-splitting for infinite-dimensional random dynamical systems. (English) Zbl 1405.37055 Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1219-1242 (2018). MSC: 37H10 37L55 60H15 PDFBibTeX XMLCite \textit{K. Lu} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 3, 1219--1242 (2018; Zbl 1405.37055) Full Text: DOI
Lian, Zeng; Wang, Yi On random linear dynamical systems in a Banach space. I: Multiplicative ergodic theorem and Krein-Rutman type theorems. (English) Zbl 1364.37119 Adv. Math. 312, 374-424 (2017). MSC: 37H15 37H10 PDFBibTeX XMLCite \textit{Z. Lian} and \textit{Y. Wang}, Adv. Math. 312, 374--424 (2017; Zbl 1364.37119) Full Text: DOI arXiv
Chow, Shui-Nee; Nussbaum, Roger D.; Walther, Hans-Otto John Mallet-Paret 60. (English) Zbl 1348.01017 J. Dyn. Differ. Equations 28, No. 3-4, 595-603 (2016). MSC: 01A70 PDFBibTeX XMLCite \textit{S.-N. Chow} et al., J. Dyn. Differ. Equations 28, No. 3--4, 595--603 (2016; Zbl 1348.01017) Full Text: DOI
Kuchment, Peter An overview of periodic elliptic operators. (English) Zbl 1346.35170 Bull. Am. Math. Soc., New Ser. 53, No. 3, 343-414 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 35J10 35J15 47A53 47F05 58J05 PDFBibTeX XMLCite \textit{P. Kuchment}, Bull. Am. Math. Soc., New Ser. 53, No. 3, 343--414 (2016; Zbl 1346.35170) Full Text: DOI arXiv
Liu, Weishi; Van Vleck, Erik S. Exponential dichotomy for asymptotically hyperbolic two-dimensional linear systems. (English) Zbl 1226.34048 J. Dyn. Differ. Equations 22, No. 4, 697-722 (2010). Reviewer: Thomas Hagen (Memphis) MSC: 34D09 34D10 PDFBibTeX XMLCite \textit{W. Liu} and \textit{E. S. Van Vleck}, J. Dyn. Differ. Equations 22, No. 4, 697--722 (2010; Zbl 1226.34048) Full Text: DOI
Húska, Juraj Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: nondivergence case. (English) Zbl 1155.35052 Trans. Am. Math. Soc. 360, No. 9, 4639-4679 (2008). Reviewer: Bruno Scarpellini (Basel) MSC: 35K10 35B05 PDFBibTeX XMLCite \textit{J. Húska}, Trans. Am. Math. Soc. 360, No. 9, 4639--4679 (2008; Zbl 1155.35052) Full Text: DOI
Húska, Juraj; Poláčik, Peter; Safonov, Mikhail V. Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. (English) Zbl 1139.35046 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 5, 711-739 (2007). Reviewer: Michael I. Gil’ (Beer-Sheva) MSC: 35K20 35P15 35B20 35B40 58J35 PDFBibTeX XMLCite \textit{J. Húska} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 24, No. 5, 711--739 (2007; Zbl 1139.35046) Full Text: DOI Numdam EuDML
Húska, Juraj; Poláčik, Peter The principal Floquet bundle and exponential separation for linear parabolic equations. (English) Zbl 1128.35353 J. Dyn. Differ. Equations 16, No. 2, 347-375 (2004). MSC: 35K20 35P05 PDFBibTeX XMLCite \textit{J. Húska} and \textit{P. Poláčik}, J. Dyn. Differ. Equations 16, No. 2, 347--375 (2004; Zbl 1128.35353) Full Text: DOI
Liu, Weijiu; Haller, George Strange eigenmodes and decay of variance in the mixing of diffusive tracers. (English) Zbl 1098.76550 Physica D 188, No. 1-2, 1-39 (2004). MSC: 76F25 37N10 76F20 PDFBibTeX XMLCite \textit{W. Liu} and \textit{G. Haller}, Physica D 188, No. 1--2, 1--39 (2004; Zbl 1098.76550) Full Text: DOI
Mierczyński, Janusz; Shen, Wenxian Exponential separation and principal Lyapunov exponent/spectrum for random/nonautonomous parabolic equations. (English) Zbl 1024.35091 J. Differ. Equations 191, No. 1, 175-205 (2003). Reviewer: Jan Seidler (Praha) MSC: 35R60 35K20 37H15 35P15 PDFBibTeX XMLCite \textit{J. Mierczyński} and \textit{W. Shen}, J. Differ. Equations 191, No. 1, 175--205 (2003; Zbl 1024.35091) Full Text: DOI
Pliss, Victor A.; Sell, George R. Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations. (English) Zbl 0998.34038 J. Differ. Equations 169, No. 2, 396-492 (2001). Reviewer: Norbert Koksch (Dresden) MSC: 34C30 35Q30 34G20 37C20 37D05 34C28 37L45 37L65 37N20 76D05 PDFBibTeX XMLCite \textit{V. A. Pliss} and \textit{G. R. Sell}, J. Differ. Equations 169, No. 2, 396--492 (2001; Zbl 0998.34038) Full Text: DOI
Mierczyński, Janusz The principal spectrum for linear nonautonomous parabolic PDEs of second order: Basic properties. (English) Zbl 0982.35079 J. Differ. Equations 168, No. 2, 453-476 (2000). Reviewer: Ll.G.Chambers (Bangor) MSC: 35P20 35K20 PDFBibTeX XMLCite \textit{J. Mierczyński}, J. Differ. Equations 168, No. 2, 453--476 (2000; Zbl 0982.35079) Full Text: DOI
Mierczyński, Janusz Globally positive solutions of linear parabolic partial differential equations of second order with Dirichlet boundary conditions. (English) Zbl 0921.35064 J. Math. Anal. Appl. 226, No. 2, 326-347 (1998). Reviewer: S.Totaro (Firenze) MSC: 35K20 35B05 PDFBibTeX XMLCite \textit{J. Mierczyński}, J. Math. Anal. Appl. 226, No. 2, 326--347 (1998; Zbl 0921.35064) Full Text: DOI arXiv
Mierczyński, Janusz Globally positive solutions of linear parabolic PDEs of second order with Robin boundary conditions. (English) Zbl 0877.35052 J. Math. Anal. Appl. 209, No. 1, 47-59 (1997). MSC: 35K20 PDFBibTeX XMLCite \textit{J. Mierczyński}, J. Math. Anal. Appl. 209, No. 1, 47--59 (1997; Zbl 0877.35052) Full Text: DOI arXiv
Shen, Wenxian; Yi, Yingfei On minimal sets of scalar parabolic equations with skew-product structures. (English) Zbl 0849.35005 Trans. Am. Math. Soc. 347, No. 11, 4413-4431 (1995). Reviewer: P.Polacik (Bratislava) MSC: 35B15 54H20 35K57 PDFBibTeX XMLCite \textit{W. Shen} and \textit{Y. Yi}, Trans. Am. Math. Soc. 347, No. 11, 4413--4431 (1995; Zbl 0849.35005) Full Text: DOI