Lee, K.; Morales, C. A.; Pacifico, M. J. Singular strange attractors beyond the boundary of hyperbolic flows. (English) Zbl 1514.37043 J. Differ. Equations 345, 104-129 (2023). Reviewer: Matheus Cheque Bortolan (Florianópolis) MSC: 37C70 37E30 37C10 37G35 37D45 PDFBibTeX XMLCite \textit{K. Lee} et al., J. Differ. Equations 345, 104--129 (2023; Zbl 1514.37043) Full Text: DOI
Xiao, Qingkun; Gao, Hongjun Stochastic attractor bifurcation of the one-dimensional Swift-Hohenberg equation with multiplicative noise. (English) Zbl 1496.35053 J. Differ. Equations 336, 565-588 (2022). MSC: 35B32 35K35 35K57 35R60 PDFBibTeX XMLCite \textit{Q. Xiao} and \textit{H. Gao}, J. Differ. Equations 336, 565--588 (2022; Zbl 1496.35053) Full Text: DOI
Brzeźniak, Zdzisław; Gołdys, Ben; Ondreját, Martin; Rana, Nimit Large deviations for (1 + 1)-dimensional stochastic geometric wave equation. (English) Zbl 1498.60202 J. Differ. Equations 325, 1-69 (2022). Reviewer: Alexandra Rodkina (College Station) MSC: 60H10 58D20 34G20 46E35 35R15 46E50 PDFBibTeX XMLCite \textit{Z. Brzeźniak} et al., J. Differ. Equations 325, 1--69 (2022; Zbl 1498.60202) Full Text: DOI arXiv
Feng, Yuanyuan; Shi, Binbin; Wang, Weike Dissipation enhancement of planar helical flows and applications to three-dimensional Kuramoto-Sivashinsky and Keller-Segel equations. (English) Zbl 1483.35107 J. Differ. Equations 313, 420-449 (2022). MSC: 35K35 35K58 76E06 76F25 92C17 PDFBibTeX XMLCite \textit{Y. Feng} et al., J. Differ. Equations 313, 420--449 (2022; Zbl 1483.35107) Full Text: DOI arXiv
Xi, Fubao; Zhu, Chao; Wu, Fuke On strong Feller property, exponential ergodicity and large deviations principle for stochastic damping Hamiltonian systems with state-dependent switching. (English) Zbl 1476.60142 J. Differ. Equations 286, 856-891 (2021). MSC: 60J60 60J27 37A25 37A50 37H10 60F10 PDFBibTeX XMLCite \textit{F. Xi} et al., J. Differ. Equations 286, 856--891 (2021; Zbl 1476.60142) Full Text: DOI arXiv
Wilczak, Daniel; Zgliczyński, Piotr A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line. (English) Zbl 1439.35218 J. Differ. Equations 269, No. 10, 8509-8548 (2020). MSC: 35K35 35B30 35B40 65G30 35B10 35B45 65N30 PDFBibTeX XMLCite \textit{D. Wilczak} and \textit{P. Zgliczyński}, J. Differ. Equations 269, No. 10, 8509--8548 (2020; Zbl 1439.35218) Full Text: DOI arXiv
Faye, Grégory; Holzer, Matt Asymptotic stability of the critical pulled front in a Lotka-Volterra competition model. (English) Zbl 1443.35077 J. Differ. Equations 269, No. 9, 6559-6601 (2020). MSC: 35K57 35C07 35B35 35K40 PDFBibTeX XMLCite \textit{G. Faye} and \textit{M. Holzer}, J. Differ. Equations 269, No. 9, 6559--6601 (2020; Zbl 1443.35077) Full Text: DOI arXiv
Hilder, Bastian Modulating traveling fronts for the Swift-Hohenberg equation in the case of an additional conservation law. (English) Zbl 1441.35092 J. Differ. Equations 269, No. 5, 4353-4380 (2020). MSC: 35C07 35B10 35B32 35B36 35Q35 34C37 35K45 35K57 PDFBibTeX XMLCite \textit{B. Hilder}, J. Differ. Equations 269, No. 5, 4353--4380 (2020; Zbl 1441.35092) Full Text: DOI arXiv
Chang, Mao-Sheng; Tsai, Dong-Ho On the oscillation behavior of solutions to the heat equation on \(\mathbb{R}^n\). (English) Zbl 1431.35052 J. Differ. Equations 268, No. 5, 2040-2062 (2020). Reviewer: Vladimir Mityushev (Kraków) MSC: 35K05 35K15 PDFBibTeX XMLCite \textit{M.-S. Chang} and \textit{D.-H. Tsai}, J. Differ. Equations 268, No. 5, 2040--2062 (2020; Zbl 1431.35052) Full Text: DOI
Wang, Bixiang Dynamics of fractional stochastic reaction-diffusion equations on unbounded domains driven by nonlinear noise. (English) Zbl 1473.37098 J. Differ. Equations 268, No. 1, 1-59 (2019). Reviewer: Anhui Gu (Chongqing) MSC: 37L55 37L30 37L40 35K57 35R11 60H15 PDFBibTeX XMLCite \textit{B. Wang}, J. Differ. Equations 268, No. 1, 1--59 (2019; Zbl 1473.37098) Full Text: DOI
Kepley, Shane; Mireles James, J. D. Chaotic motions in the restricted four body problem via Devaney’s saddle-focus homoclinic tangle theorem. (English) Zbl 1422.37062 J. Differ. Equations 266, No. 4, 1709-1755 (2019). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 37N05 37J45 37J15 37J25 70F07 70F10 70H14 PDFBibTeX XMLCite \textit{S. Kepley} and \textit{J. D. Mireles James}, J. Differ. Equations 266, No. 4, 1709--1755 (2019; Zbl 1422.37062) Full Text: DOI arXiv
Slijepčević, Siniša Ergodic attractors and almost-everywhere asymptotics of scalar semilinear parabolic differential equations. (English) Zbl 1513.35282 J. Differ. Equations 265, No. 4, 1488-1527 (2018). MSC: 35K15 37L40 35B40 35B41 37L30 PDFBibTeX XMLCite \textit{S. Slijepčević}, J. Differ. Equations 265, No. 4, 1488--1527 (2018; Zbl 1513.35282) Full Text: DOI arXiv
Bardi, Martino; Cesaroni, Annalisa Liouville properties and critical value of fully nonlinear elliptic operators. (English) Zbl 1350.35045 J. Differ. Equations 261, No. 7, 3775-3799 (2016). MSC: 35B53 35B40 35J70 35J60 49L25 35D40 PDFBibTeX XMLCite \textit{M. Bardi} and \textit{A. Cesaroni}, J. Differ. Equations 261, No. 7, 3775--3799 (2016; Zbl 1350.35045) Full Text: DOI arXiv
Lian, Zeng; Liu, Peidong; Lu, Kening SRB measures for a class of partially hyperbolic attractors in Hilbert spaces. (English) Zbl 1362.37155 J. Differ. Equations 261, No. 2, 1532-1603 (2016). Reviewer: Miguel Paternain (Montevideo) MSC: 37L40 37D20 37D30 37D35 37D45 37C40 PDFBibTeX XMLCite \textit{Z. Lian} et al., J. Differ. Equations 261, No. 2, 1532--1603 (2016; Zbl 1362.37155) Full Text: DOI arXiv
Düll, Wolf-Patrick; Kashani, Kourosh Sanei; Schneider, Guido; Zimmermann, Dominik Attractivity of the Ginzburg-Landau mode distribution for a pattern forming system with marginally stable long modes. (English) Zbl 1341.35152 J. Differ. Equations 261, No. 1, 319-339 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 PDFBibTeX XMLCite \textit{W.-P. Düll} et al., J. Differ. Equations 261, No. 1, 319--339 (2016; Zbl 1341.35152) Full Text: DOI
Coron, Jean-Michel; Lü, Qi Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. (English) Zbl 1317.93209 J. Differ. Equations 259, No. 8, 3683-3729 (2015). MSC: 93D15 35Q53 PDFBibTeX XMLCite \textit{J.-M. Coron} and \textit{Q. Lü}, J. Differ. Equations 259, No. 8, 3683--3729 (2015; Zbl 1317.93209) Full Text: DOI arXiv
Faye, Grégory; Holzer, Matt Modulated traveling fronts for a nonlocal Fisher-KPP equation: a dynamical systems approach. (English) Zbl 1320.35135 J. Differ. Equations 258, No. 7, 2257-2289 (2015). Reviewer: Peixuan Weng (Guangzhou) MSC: 35C07 35K57 37C29 35Q92 35R09 PDFBibTeX XMLCite \textit{G. Faye} and \textit{M. Holzer}, J. Differ. Equations 258, No. 7, 2257--2289 (2015; Zbl 1320.35135) Full Text: DOI arXiv
Liu, Zhihua; Magal, Pierre; Ruan, Shigui Normal forms for semilinear equations with non-dense domain with applications to age structured models. (English) Zbl 1347.37125 J. Differ. Equations 257, No. 4, 921-1011 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L10 37G05 34K18 34C20 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Differ. Equations 257, No. 4, 921--1011 (2014; Zbl 1347.37125) Full Text: DOI
Tran, Minh-Binh Convergence to equilibrium of some kinetic models. (English) Zbl 1287.76196 J. Differ. Equations 255, No. 3, 405-440 (2013). Reviewer: Eugene Postnikov (Kursk) MSC: 76P05 82C40 82D05 PDFBibTeX XMLCite \textit{M.-B. Tran}, J. Differ. Equations 255, No. 3, 405--440 (2013; Zbl 1287.76196) Full Text: DOI arXiv
Sandstede, Björn; Scheel, Arnd; Schneider, Guido; Uecker, Hannes Diffusive mixing of periodic wave trains in reaction-diffusion systems. (English) Zbl 1298.35108 J. Differ. Equations 252, No. 5, 3541-3574 (2012). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35K57 PDFBibTeX XMLCite \textit{B. Sandstede} et al., J. Differ. Equations 252, No. 5, 3541--3574 (2012; Zbl 1298.35108) Full Text: DOI arXiv
Pu, Xueke; Guo, Boling Momentum estimates and ergodicity for the 3D stochastic cubic Ginzburg-Landau equation with degenerate noise. (English) Zbl 1233.60040 J. Differ. Equations 251, No. 7, 1747-1777 (2011). Reviewer: Iulian Stoleriu (Iaşi) MSC: 60H15 37A25 35Q35 35R60 PDFBibTeX XMLCite \textit{X. Pu} and \textit{B. Guo}, J. Differ. Equations 251, No. 7, 1747--1777 (2011; Zbl 1233.60040) Full Text: DOI
Deng, Bo Neural spike renormalization. I: Universal number 1. (English) Zbl 1222.37039 J. Differ. Equations 250, No. 6, 2940-2957 (2011). Reviewer: Katarina Janková (Bratislava) MSC: 37E20 PDFBibTeX XMLCite \textit{B. Deng}, J. Differ. Equations 250, No. 6, 2940--2957 (2011; Zbl 1222.37039) Full Text: DOI
Latushkin, Yuri; Pogan, Alin The dichotomy theorem for evolution bi-families. (English) Zbl 1154.47010 J. Differ. Equations 245, No. 8, 2267-2306 (2008). Reviewer: Mihai Putinar (Santa Barbara) MSC: 47A53 34G10 47D09 PDFBibTeX XMLCite \textit{Y. Latushkin} and \textit{A. Pogan}, J. Differ. Equations 245, No. 8, 2267--2306 (2008; Zbl 1154.47010) Full Text: DOI
Biswas, Animikh; Swanson, David Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\). (English) Zbl 1124.35073 J. Differ. Equations 240, No. 1, 145-163 (2007). MSC: 35Q53 76B15 76B03 35B65 PDFBibTeX XMLCite \textit{A. Biswas} and \textit{D. Swanson}, J. Differ. Equations 240, No. 1, 145--163 (2007; Zbl 1124.35073) Full Text: DOI
Düll, Wolf-Patrick The validity of phase diffusion equations and of Cahn-Hilliard equations for the modulation of pattern in reaction-diffusion systems. (English) Zbl 1120.35051 J. Differ. Equations 239, No. 1, 72-98 (2007). Reviewer: Christian Pötzsche (München) MSC: 35K57 35K40 PDFBibTeX XMLCite \textit{W.-P. Düll}, J. Differ. Equations 239, No. 1, 72--98 (2007; Zbl 1120.35051) Full Text: DOI
Otto, Felix; Reznikoff, Maria G. Slow motion of gradient flows. (English) Zbl 1138.35036 J. Differ. Equations 237, No. 2, 372-420 (2007). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K55 35B35 37L15 PDFBibTeX XMLCite \textit{F. Otto} and \textit{M. G. Reznikoff}, J. Differ. Equations 237, No. 2, 372--420 (2007; Zbl 1138.35036) Full Text: DOI
Nara, Mitsunori; Taniguchi, Masaharu The condition on the stability of stationary lines in a curvature flow in the whole plane. (English) Zbl 1120.35050 J. Differ. Equations 237, No. 1, 61-76 (2007). MSC: 35K55 35K15 35B40 53C44 PDFBibTeX XMLCite \textit{M. Nara} and \textit{M. Taniguchi}, J. Differ. Equations 237, No. 1, 61--76 (2007; Zbl 1120.35050) Full Text: DOI
Cao, Yanping; Titi, Edriss S. Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations. (English) Zbl 1113.35008 J. Differ. Equations 231, No. 2, 755-767 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35A05 35J45 35J60 35G30 PDFBibTeX XMLCite \textit{Y. Cao} and \textit{E. S. Titi}, J. Differ. Equations 231, No. 2, 755--767 (2006; Zbl 1113.35008) Full Text: DOI arXiv
Dieci, L.; Elia, C. The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects. (English) Zbl 1139.93014 J. Differ. Equations 230, No. 2, 502-531 (2006). MSC: 93B60 15A18 34D08 65L07 93D30 PDFBibTeX XMLCite \textit{L. Dieci} and \textit{C. Elia}, J. Differ. Equations 230, No. 2, 502--531 (2006; Zbl 1139.93014) Full Text: DOI
Uecker, Hannes Self-similar decay of localized perturbations in the integral boundary layer equation. (English) Zbl 1101.35018 J. Differ. Equations 207, No. 2, 407-422 (2004). Reviewer: Georgi E. Karadzhov (Sofia) MSC: 35B40 35K55 76E17 PDFBibTeX XMLCite \textit{H. Uecker}, J. Differ. Equations 207, No. 2, 407--422 (2004; Zbl 1101.35018) Full Text: DOI
Peletier, Lambertus A.; Rodríguez, José Antonio Homoclinic orbits to a saddle-center in a fourth-order differential equation. (English) Zbl 1080.34030 J. Differ. Equations 203, No. 2, 185-215 (2004). Reviewer: Massimiliano Berti (Trieste) MSC: 34C37 PDFBibTeX XMLCite \textit{L. A. Peletier} and \textit{J. A. Rodríguez}, J. Differ. Equations 203, No. 2, 185--215 (2004; Zbl 1080.34030) Full Text: DOI
Melbourne, Ian; Schneider, Guido Phase dynamics in the complex Ginzburg-Landau equation. (English) Zbl 1059.35139 J. Differ. Equations 199, No. 1, 22-46 (2004). Reviewer: Alan Jeffrey (Newcastle upon Tyne) MSC: 35Q55 35B10 35L65 PDFBibTeX XMLCite \textit{I. Melbourne} and \textit{G. Schneider}, J. Differ. Equations 199, No. 1, 22--46 (2004; Zbl 1059.35139) Full Text: DOI
Hoff, David; Zumbrun, Kevin Pointwise Green’s function bounds for multidimensional scalar viscous shock fronts. (English) Zbl 1028.35108 J. Differ. Equations 183, No. 2, 368-408 (2002). Reviewer: Chen Shuxing (Shanghai) MSC: 35L67 35L60 35A08 PDFBibTeX XMLCite \textit{D. Hoff} and \textit{K. Zumbrun}, J. Differ. Equations 183, No. 2, 368--408 (2002; Zbl 1028.35108) Full Text: DOI
Kobayasi, Kazuo An \(L^p\) theory of invariant manifolds for parabolic partial differential equations on \(\mathbb{R}^d\). (English) Zbl 0996.35030 J. Differ. Equations 179, No. 1, 195-212 (2002). Reviewer: Lubomira Softova (Bari) MSC: 35K55 37L25 35K15 35B40 PDFBibTeX XMLCite \textit{K. Kobayasi}, J. Differ. Equations 179, No. 1, 195--212 (2002; Zbl 0996.35030) Full Text: DOI
Rottschäfer, V.; Wayne, C. E. Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation. (English) Zbl 1109.35361 J. Differ. Equations 176, No. 2, 532-560 (2001). MSC: 35K55 35B35 PDFBibTeX XMLCite \textit{V. Rottschäfer} and \textit{C. E. Wayne}, J. Differ. Equations 176, No. 2, 532--560 (2001; Zbl 1109.35361) Full Text: DOI
Oliver, Marcel; Titi, Edriss S. On the domain of analyticity for solutions of second order analytic nonlinear differential equations. (English) Zbl 1001.34003 J. Differ. Equations 174, No. 1, 55-74 (2001). Reviewer: S.K.Chatterjea (Kolkata) MSC: 34A25 34A34 PDFBibTeX XMLCite \textit{M. Oliver} and \textit{E. S. Titi}, J. Differ. Equations 174, No. 1, 55--74 (2001; Zbl 1001.34003) Full Text: DOI Link
Sandstede, Björn; Scheel, Arnd On the stability of periodic travelling waves with large spatial period. (English) Zbl 0994.34035 J. Differ. Equations 172, No. 1, 134-188 (2001). MSC: 34C37 34D09 34B15 34L05 35K57 PDFBibTeX XMLCite \textit{B. Sandstede} and \textit{A. Scheel}, J. Differ. Equations 172, No. 1, 134--188 (2001; Zbl 0994.34035) Full Text: DOI Link
Risler, Emmanuel Spatially extended differential equations in a potential: On the borders of the basins of attraction related to local minima. (English) Zbl 0972.35012 J. Differ. Equations 166, No. 2, 347-384 (2000). Reviewer: Jan Cholewa (Katowice) MSC: 35B40 35K55 35L70 PDFBibTeX XMLCite \textit{E. Risler}, J. Differ. Equations 166, No. 2, 347--384 (2000; Zbl 0972.35012) Full Text: DOI Link
Grujić, Zoran; Kukavica, Igor Space analyticity for the nonlinear heat equation in a bounded domain. (English) Zbl 0926.35026 J. Differ. Equations 154, No. 1, 42-54 (1999). Reviewer: Dian K.Palagachev (Bari) MSC: 35B65 35K60 35B05 PDFBibTeX XMLCite \textit{Z. Grujić} and \textit{I. Kukavica}, J. Differ. Equations 154, No. 1, 42--54 (1999; Zbl 0926.35026) Full Text: DOI Link
Gallay, Th.; Raugel, G. Scaling variables and asymptotic expansions in damped wave equations. (English) Zbl 0913.35086 J. Differ. Equations 150, No. 1, 42-97 (1998). Reviewer: M.Kopáčková (Praha) MSC: 35L70 35C20 35B40 35K55 PDFBibTeX XMLCite \textit{Th. Gallay} and \textit{G. Raugel}, J. Differ. Equations 150, No. 1, 42--97 (1998; Zbl 0913.35086) Full Text: DOI
Raugel, G.; Kirchgässner, K. Stability of fronts for a KPP-system, II: The critical case. (English) Zbl 0913.35056 J. Differ. Equations 146, No. 2, 399-456 (1998). Reviewer: G.M.Lieberman (Ames) MSC: 35K40 35B40 35B35 35K55 PDFBibTeX XMLCite \textit{G. Raugel} and \textit{K. Kirchgässner}, J. Differ. Equations 146, No. 2, 399--456 (1998; Zbl 0913.35056) Full Text: DOI
Schneider, Guido Approximation of the Korteweg-de Vries equation by the nonlinear Schrödinger equation. (English) Zbl 0940.35179 J. Differ. Equations 147, No. 2, 333-354 (1998). Reviewer: Hongyou Wu (DeKalb) MSC: 35Q53 35Q55 76B15 PDFBibTeX XMLCite \textit{G. Schneider}, J. Differ. Equations 147, No. 2, 333--354 (1998; Zbl 0940.35179) Full Text: DOI
Duan, Jinqiao; Ervin, Vincent J. Dynamics of a nonlocal Kuramoto-Sivashinsky equation. (English) Zbl 0957.35114 J. Differ. Equations 143, No. 2, 243-266 (1998). MSC: 35Q53 37L30 35B10 35B40 PDFBibTeX XMLCite \textit{J. Duan} and \textit{V. J. Ervin}, J. Differ. Equations 143, No. 2, 243--266 (1998; Zbl 0957.35114) Full Text: DOI arXiv
Kirchgässner, Klaus On the nonlinear dynamics of travelling fronts. (English) Zbl 0802.35078 J. Differ. Equations 96, No. 2, 256-278 (1992). Reviewer: M.Fila (Bratislava) MSC: 35K57 35B40 35B35 PDFBibTeX XMLCite \textit{K. Kirchgässner}, J. Differ. Equations 96, No. 2, 256--278 (1992; Zbl 0802.35078) Full Text: DOI
Scarpellini, Bruno; Vuillermot, Pierre-A. Smooth manifolds for semilinear wave equations on \({\mathbb{R}}^ 2:\) On the existence of almost-periodic breathers. (English) Zbl 0702.35169 J. Differ. Equations 77, No. 1, 123-166 (1989). Reviewer: K.Hardenberg MSC: 35L70 35L05 PDFBibTeX XMLCite \textit{B. Scarpellini} and \textit{P.-A. Vuillermot}, J. Differ. Equations 77, No. 1, 123--166 (1989; Zbl 0702.35169) Full Text: DOI
Deng, Bo The Sil’nikov problem, exponential expansion, strong \(\lambda\)-lemma, \(C^ 1\)-linearization, and homoclinic bifurcation. (English) Zbl 0674.34040 J. Differ. Equations 79, No. 2, 189-231 (1989). Reviewer: B.Bobrowski MSC: 37-XX 34C25 PDFBibTeX XMLCite \textit{B. Deng}, J. Differ. Equations 79, No. 2, 189--231 (1989; Zbl 0674.34040) Full Text: DOI