Brzeźniak, Z.; Hussain, J. Global solution of nonlinear heat equation with solutions in a Hilbert manifold. (English) Zbl 07816734 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113505, 17 p. (2024). MSC: 35R09 35K20 35K58 35R20 47J35 PDFBibTeX XMLCite \textit{Z. Brzeźniak} and \textit{J. Hussain}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 242, Article ID 113505, 17 p. (2024; Zbl 07816734) Full Text: DOI
López-Lázaro, Heraclio; Nascimento, Marcelo J. D.; Rubio, Obidio Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary. (English) Zbl 1498.35103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022). MSC: 35B41 35K20 35K58 35R10 35R37 37L30 35Q79 PDFBibTeX XMLCite \textit{H. López-Lázaro} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113107, 35 p. (2022; Zbl 1498.35103) Full Text: DOI
Shomberg, Joseph L. Attractors for damped semilinear wave equations with a Robin-acoustic boundary perturbation. (English) Zbl 1437.35103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111582, 36 p. (2019). MSC: 35B41 35B25 35L20 35L71 PDFBibTeX XMLCite \textit{J. L. Shomberg}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111582, 36 p. (2019; Zbl 1437.35103) Full Text: DOI arXiv
Yang, Zhijian; Ding, Pengyan Longtime dynamics of Boussinesq type equations with fractional damping. (English) Zbl 1469.35193 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 161, 108-130 (2017). MSC: 35Q53 35B30 35R11 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{P. Ding}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 161, 108--130 (2017; Zbl 1469.35193) Full Text: DOI
Barge, Héctor Regular blocks and Conley index of isolated invariant continua in surfaces. (English) Zbl 1376.37041 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 100-119 (2016). MSC: 37B30 37G35 58J20 PDFBibTeX XMLCite \textit{H. Barge}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 146, 100--119 (2016; Zbl 1376.37041) Full Text: DOI arXiv
Savostianov, Anton Infinite energy solutions for critical wave equation with fractional damping in unbounded domains. (English) Zbl 1337.35014 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 136, 136-167 (2016). MSC: 35B41 35B40 35B45 35L20 35L71 PDFBibTeX XMLCite \textit{A. Savostianov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 136, 136--167 (2016; Zbl 1337.35014) Full Text: DOI arXiv Link
Gal, Ciprian G.; Tebou, Louis On a regularized family of models for the full Ericksen-Leslie system. (English) Zbl 1330.35322 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 312-351 (2015). MSC: 35Q35 35B44 35D30 35K45 35Q30 76A15 35B35 35B65 35B41 PDFBibTeX XMLCite \textit{C. G. Gal} and \textit{L. Tebou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 127, 312--351 (2015; Zbl 1330.35322) Full Text: DOI arXiv
Chueshov, Igor; Rezounenko, Alexander Dynamics of second order in time evolution equations with state-dependent delay. (English) Zbl 1322.35155 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 123-124, 126-149 (2015). Reviewer: Igor Bock (Bratislava) MSC: 35R10 35B41 74K20 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{A. Rezounenko}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 123--124, 126--149 (2015; Zbl 1322.35155) Full Text: DOI arXiv
Zhou, Shengfan; Zhao, Min Random attractors for damped non-autonomous wave equations with memory and white noise. (English) Zbl 1332.37060 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 202-226 (2015). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L55 35B41 37H10 37L30 60H15 PDFBibTeX XMLCite \textit{S. Zhou} and \textit{M. Zhao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 120, 202--226 (2015; Zbl 1332.37060) Full Text: DOI
Cholewa, Jan W.; Rodriguez-Bernal, Anibal Critical and supercritical higher order parabolic problems in \(\mathbb R^N\). (English) Zbl 1288.35281 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 104, 50-74 (2014). MSC: 35K30 35K58 35B33 35B40 35B41 PDFBibTeX XMLCite \textit{J. W. Cholewa} and \textit{A. Rodriguez-Bernal}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 104, 50--74 (2014; Zbl 1288.35281) Full Text: DOI
Climent-Ezquerra, Blanca; Guillén-González, Francisco Convergence to equilibrium for smectic-A liquid crystals in \(3D\) domains without constraints for the viscosity. (English) Zbl 1511.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 208-219 (2014). MSC: 35B40 35Q35 76A15 PDFBibTeX XMLCite \textit{B. Climent-Ezquerra} and \textit{F. Guillén-González}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 102, 208--219 (2014; Zbl 1511.35033) Full Text: DOI
Qin, Yuming; Feng, Baowei; Zhang, Ming Uniform attractors for a non-autonomous viscoelastic equation with a past history. (English) Zbl 1304.35124 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 1-15 (2014). MSC: 35B41 PDFBibTeX XMLCite \textit{Y. Qin} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 101, 1--15 (2014; Zbl 1304.35124) Full Text: DOI
Gorban, Nataliia V.; Kapustyan, Oleksiy V.; Kasyanov, Pavlo O. Uniform trajectory attractor for non-autonomous reaction-diffusion equations with Carathéodory’s nonlinearity. (English) Zbl 1286.35045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 13-26 (2014). MSC: 35B41 35K57 PDFBibTeX XMLCite \textit{N. V. Gorban} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 98, 13--26 (2014; Zbl 1286.35045) Full Text: DOI
Geredeli, Pelin G.; Lasiecka, Irena Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity. (English) Zbl 1286.35044 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 91, 72-92 (2013). MSC: 35B41 35B33 74K20 PDFBibTeX XMLCite \textit{P. G. Geredeli} and \textit{I. Lasiecka}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 91, 72--92 (2013; Zbl 1286.35044) Full Text: DOI
Bortolan, M. C.; Caraballo, T.; Carvalho, A. N.; Langa, J. A. An estimate on the fractal dimension of attractors of gradient-like dynamical systems. (English) Zbl 1248.37020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5702-5722 (2012). MSC: 37B25 28A80 28A78 37C45 PDFBibTeX XMLCite \textit{M. C. Bortolan} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 14, 5702--5722 (2012; Zbl 1248.37020) Full Text: DOI Link
Chen, Min; Dumont, Serge; Goubet, Olivier Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani-Matsuuchi model. (English) Zbl 1236.35119 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2883-2896 (2012). MSC: 35Q35 35Q53 76B15 65M70 35B65 PDFBibTeX XMLCite \textit{M. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2883--2896 (2012; Zbl 1236.35119) Full Text: DOI
You, Yuncheng Global dynamics and robustness of reversible autocatalytic reaction-diffusion systems. (English) Zbl 1246.35043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3049-3071 (2012). Reviewer: Dalibor Prazak (Praha) MSC: 35B41 35K57 37L30 35B40 35K55 PDFBibTeX XMLCite \textit{Y. You}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 6, 3049--3071 (2012; Zbl 1246.35043) Full Text: DOI
Tachim Medjo, T. A non-autonomous two-phase flow model with oscillating external force and its global attractor. (English) Zbl 1230.35091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 1, 226-243 (2012). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q30 35Q35 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 1, 226--243 (2012; Zbl 1230.35091) Full Text: DOI
Carbone, Vera Lúcia; Gentile, Cláudia Buttarello; Schiabel-Silva, Karina Asymptotic properties in parabolic problems dominated by a \(p\)-Laplacian operator with localized large diffusion. (English) Zbl 1221.35217 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4002-4011 (2011). MSC: 35K92 35B41 PDFBibTeX XMLCite \textit{V. L. Carbone} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4002--4011 (2011; Zbl 1221.35217) Full Text: DOI
He, Yinnian; Hou, Yanren Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations. (English) Zbl 1213.35340 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3218-3231 (2011). MSC: 35Q30 65M60 76D05 65M15 76M10 PDFBibTeX XMLCite \textit{Y. He} and \textit{Y. Hou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3218--3231 (2011; Zbl 1213.35340) Full Text: DOI
You, Yuncheng Dynamics of two-compartment Gray-Scott equations. (English) Zbl 1220.37075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969-1986 (2011). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L30 35B40 35B41 35K55 35K57 80A32 92C45 92E20 PDFBibTeX XMLCite \textit{Y. You}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969--1986 (2011; Zbl 1220.37075) Full Text: DOI
Khanmamedov, A. Kh. A global attractor for the plate equation with displacement-dependent damping. (English) Zbl 1213.35105 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1607-1615 (2011). MSC: 35B40 35L56 35B41 PDFBibTeX XMLCite \textit{A. Kh. Khanmamedov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1607--1615 (2011; Zbl 1213.35105) Full Text: DOI
Simsen, Jacson A global attractor for a \(p(x)\)-Laplacian parabolic problem. (English) Zbl 1201.35053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3278-3283 (2010). MSC: 35B41 35K92 35K20 PDFBibTeX XMLCite \textit{J. Simsen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3278--3283 (2010; Zbl 1201.35053) Full Text: DOI
Gill, T. L.; Zachary, W. W. A sufficiency class for global (in time) solutions to the 3D Navier-Stokes equations. (English) Zbl 1195.35243 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 3116-3122 (2010). MSC: 35Q30 76D05 76D03 47H20 PDFBibTeX XMLCite \textit{T. L. Gill} and \textit{W. W. Zachary}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 3116--3122 (2010; Zbl 1195.35243) Full Text: DOI arXiv
Graber, P. Jameson Wave equation with porous nonlinear acoustic boundary conditions generates a well-posed dynamical system. (English) Zbl 1200.35193 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 3058-3068 (2010). MSC: 35L90 35L20 47J35 47H06 PDFBibTeX XMLCite \textit{P. J. Graber}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 9, 3058--3068 (2010; Zbl 1200.35193) Full Text: DOI
Tachim Medjo, T. Pullback attractors for closed cocycles. (English) Zbl 1220.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2737-2751 (2010). MSC: 35Q35 35Q30 47H20 76B03 35B41 37L30 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 8, 2737--2751 (2010; Zbl 1220.35131) Full Text: DOI
Rezounenko, Alexander V. Non-linear partial differential equations with discrete state-dependent delays in a metric space. (English) Zbl 1194.35488 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1707-1714 (2010). MSC: 35R10 35B41 35K57 35A01 35A02 37G35 PDFBibTeX XMLCite \textit{A. V. Rezounenko}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1707--1714 (2010; Zbl 1194.35488) Full Text: DOI arXiv
Chueshov, Igor; Kolbasin, Stanislav Plate models with state-dependent damping coefficient and their quasi-static limits. (English) Zbl 1372.74055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1626-1644 (2010). MSC: 74K20 35Q74 35B35 74H40 PDFBibTeX XMLCite \textit{I. Chueshov} and \textit{S. Kolbasin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 6, 1626--1644 (2010; Zbl 1372.74055) Full Text: DOI
Tachim Medjo, T. Optimal control of the primitive equations of the ocean with state constraints. (English) Zbl 1205.49031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 634-649 (2010). MSC: 49K20 93B50 35Q53 35K30 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 3, 634--649 (2010; Zbl 1205.49031) Full Text: DOI
Fang, Shaomei; Jin, Lingyu; Guo, Boling Global attractor for the initial-boundary value problems for Ginzburg-Landau equations for atomic Fermi gases near the BCS-BEC crossover. (English) Zbl 1188.35027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4063-4070 (2010). MSC: 35B41 35Q56 35B45 PDFBibTeX XMLCite \textit{S. Fang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 11, 4063--4070 (2010; Zbl 1188.35027) Full Text: DOI
Li, Xiang; Li, Zhixiang The asymptotic behavior of the strong solutions for a non-autonomous non-local PDE model with delay. (English) Zbl 1185.35315 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9-10, 3681-3694 (2010). MSC: 35R10 35B40 35B41 35B35 35B10 PDFBibTeX XMLCite \textit{X. Li} and \textit{Z. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 9--10, 3681--3694 (2010; Zbl 1185.35315) Full Text: DOI
Sprekels, Jürgen; Wu, Hao A note on parabolic equation with nonlinear dynamical boundary condition. (English) Zbl 1185.35131 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3028-3048 (2010). Reviewer: Dian K. Palagachev (Bari) MSC: 35K61 35B40 35B41 35B45 35K58 PDFBibTeX XMLCite \textit{J. Sprekels} and \textit{H. Wu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3028--3048 (2010; Zbl 1185.35131) Full Text: DOI
Bruschi, Simone Mazzini; Gentile, Cláudia Buttarello; Primo, Marcos Roberto Teixeira Continuity properties on \(p\) for \(p\)-Laplacian parabolic problems. (English) Zbl 1180.35321 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1580-1588 (2010). MSC: 35K92 35B41 35B30 PDFBibTeX XMLCite \textit{S. M. Bruschi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1580--1588 (2010; Zbl 1180.35321) Full Text: DOI
Fastovska, T. Upper semicontinuous attractors for a 2D Mindlin-Timoshenko thermo-viscoelastic model with memory. (English) Zbl 1177.35037 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4833-4851 (2009). Reviewer: Igor Bock (Bratislava) MSC: 35B41 74K20 37L30 35B25 35B40 45K05 PDFBibTeX XMLCite \textit{T. Fastovska}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4833--4851 (2009; Zbl 1177.35037) Full Text: DOI
Simsen, Jacson; Gentile, Cláudia B. Well-posed \(p\)-Laplacian problems with large diffusion. (English) Zbl 1167.35405 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4609-4617 (2009). MSC: 35K65 35K57 35B40 PDFBibTeX XMLCite \textit{J. Simsen} and \textit{C. B. Gentile}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4609--4617 (2009; Zbl 1167.35405) Full Text: DOI
Simsen, Jacson; Gentile, Cláudia B. On \(p\)-Laplacian differential inclusions-global existence, compactness properties and asymptotic behavior. (English) Zbl 1178.35208 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 3488-3500 (2009). MSC: 35K57 35R70 35B41 PDFBibTeX XMLCite \textit{J. Simsen} and \textit{C. B. Gentile}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 3488--3500 (2009; Zbl 1178.35208) Full Text: DOI
Marín-Rubio, Pedro; Real, José On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems. (English) Zbl 1174.37016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3956-3963 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37L30 37N10 PDFBibTeX XMLCite \textit{P. Marín-Rubio} and \textit{J. Real}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 9, 3956--3963 (2009; Zbl 1174.37016) Full Text: DOI Link
Kolbasin, Stanislav Attractors for Kirchhoff’s equation with a nonlinear damping coefficient. (English) Zbl 1167.35417 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2361-2371 (2009). MSC: 35L75 35B40 35B41 35L35 35K30 PDFBibTeX XMLCite \textit{S. Kolbasin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2361--2371 (2009; Zbl 1167.35417) Full Text: DOI
Khanmamedov, A. Kh. Global attractors for one dimensional \(p\)-Laplacian equation. (English) Zbl 1170.35346 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 155-171 (2009). MSC: 35B41 35K55 35K65 35K15 PDFBibTeX XMLCite \textit{A. Kh. Khanmamedov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 155--171 (2009; Zbl 1170.35346) Full Text: DOI
Rezounenko, Alexander V. Differential equations with discrete state-dependent delay: Uniqueness and well-posedness in the space of continuous functions. (English) Zbl 1163.35494 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 3978-3986 (2009). MSC: 35R10 35B41 35K57 35B40 PDFBibTeX XMLCite \textit{A. V. Rezounenko}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 3978--3986 (2009; Zbl 1163.35494) Full Text: DOI arXiv
Guo, Boling; Han, Yongqian Attractor and spatial chaos for the Brusselator in \(\mathbb R^n\). (English) Zbl 1170.35338 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 3917-3931 (2009). MSC: 35B40 35B41 35B45 35Q35 35K45 35K55 35K57 PDFBibTeX XMLCite \textit{B. Guo} and \textit{Y. Han}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 11, 3917--3931 (2009; Zbl 1170.35338) Full Text: DOI
Gatti, Stefania; Pata, Vittorino; Zelik, Sergey A Gronwall-type Lemma with parameter and dissipative estimates for PDEs. (English) Zbl 1167.34366 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2337-2343 (2009). Reviewer: Nguyen Van Minh (Carrollton) MSC: 34G20 34A40 74D99 PDFBibTeX XMLCite \textit{S. Gatti} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 6, 2337--2343 (2009; Zbl 1167.34366) Full Text: DOI
Ouyang, Yan; Yang, Ling-E A note on the existence of a global attractor for the Brinkman-Forchheimer equations. (English) Zbl 1177.35039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 2054-2059 (2009). MSC: 35B41 35K60 47D06 PDFBibTeX XMLCite \textit{Y. Ouyang} and \textit{L.-E Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 2054--2059 (2009; Zbl 1177.35039) Full Text: DOI
Khanmamedov, A. Kh. On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term. (English) Zbl 1157.35320 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3372-3385 (2008). MSC: 35B41 35L70 35L20 35B40 PDFBibTeX XMLCite \textit{A. Kh. Khanmamedov}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 10, 3372--3385 (2008; Zbl 1157.35320) Full Text: DOI
Tachim Medjo, T. On strong solutions of the multi-layer quasi-geostrophic equations of the ocean. (English) Zbl 1157.35461 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3550-3564 (2008). MSC: 35Q35 76B03 76U05 86A05 PDFBibTeX XMLCite \textit{T. Tachim Medjo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 11, 3550--3564 (2008; Zbl 1157.35461) Full Text: DOI
Boutat, M.; Hilout, S.; Rakotoson, J.-E.; Rakotoson, J.-M. A generalized thin-film equation in multidimensional space. (English) Zbl 1157.35395 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 4, 1268-1286 (2008). MSC: 35K35 35K55 35K65 76A20 PDFBibTeX XMLCite \textit{M. Boutat} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 4, 1268--1286 (2008; Zbl 1157.35395) Full Text: DOI
Iovane, G.; Kapustyan, A. V.; Valero, J. Asymptotic behaviour of reaction-diffusion equations with non-damped impulsive effects. (English) Zbl 1228.35063 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2516-2530 (2008). MSC: 35B41 35B40 35K57 37B25 58C06 35R12 35K58 PDFBibTeX XMLCite \textit{G. Iovane} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 9, 2516--2530 (2008; Zbl 1228.35063) Full Text: DOI
Song, Haitao; Zhong, Chengkui Attractors of non-autonomous reaction-diffusion equations in \(L^p\). (English) Zbl 1149.35328 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 1890-1897 (2008). MSC: 35B41 35B40 35K57 35K60 35K90 PDFBibTeX XMLCite \textit{H. Song} and \textit{C. Zhong}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 1890--1897 (2008; Zbl 1149.35328) Full Text: DOI
Marín-Rubio, Pedro; Real, José Attractors for 2D-Navier-Stokes equations with delays on some unbounded domains. (English) Zbl 1131.35059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 10, 2784-2799 (2007). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q30 37L30 35R10 35B41 76D05 PDFBibTeX XMLCite \textit{P. Marín-Rubio} and \textit{J. Real}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 10, 2784--2799 (2007; Zbl 1131.35059) Full Text: DOI
Gentile, Cláudia B.; Bruschi, Simone M. Lap number properties for \(p\)-Laplacian problems investigated by Lyapunov methods. (English) Zbl 1114.35107 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1005-1015 (2007). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K65 35K57 35B40 35B41 PDFBibTeX XMLCite \textit{C. B. Gentile} and \textit{S. M. Bruschi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 5, 1005--1015 (2007; Zbl 1114.35107) Full Text: DOI
Langa, José A.; Łukaszewicz, G.; Real, J. Finite fractal dimension of pullback attractors for non-autonomous 2D Navier–Stokes equations in some unbounded domains. (English) Zbl 1113.37055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 3, 735-749 (2007). Reviewer: Thomas Hagen (Memphis) MSC: 37L30 35B41 35Q30 PDFBibTeX XMLCite \textit{J. A. Langa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 66, No. 3, 735--749 (2007; Zbl 1113.37055) Full Text: DOI
Caraballo, T.; Łukaszewicz, G.; Real, J. Pullback attractors for asymptotically compact non-autonomous dynamical systems. (English) Zbl 1128.37019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 3, 484-498 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37C70 37C60 35Q35 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 3, 484--498 (2006; Zbl 1128.37019) Full Text: DOI Link
Bates, Peter W.; Han, Jianlong; Zhao, Guangyu On a nonlocal phase-field system. (English) Zbl 1092.35010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2251-2278 (2006). MSC: 35B40 35F30 35B30 37L30 45K05 74N99 80A22 PDFBibTeX XMLCite \textit{P. W. Bates} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 64, No. 10, 2251--2278 (2006; Zbl 1092.35010) Full Text: DOI
Kwembe, Tor A. On the vanishing and stability of the gradient of weak solutions of certain quasilinear parabolic equations. (English) Zbl 1224.35182 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e1333-e1339 (2005). MSC: 35K46 35D30 PDFBibTeX XMLCite \textit{T. A. Kwembe}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e1333--e1339 (2005; Zbl 1224.35182) Full Text: DOI
Casal, A. C.; Díaz, J. I. On the principle of pseudo-linearized stability: Applications to some delayed nonlinear parabolic equations. (English) Zbl 1224.35237 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5-7, e997-e1007 (2005). MSC: 35K99 35R10 PDFBibTeX XMLCite \textit{A. C. Casal} and \textit{J. I. Díaz}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 5--7, e997--e1007 (2005; Zbl 1224.35237) Full Text: DOI Link
Gunzburger, M. D.; Hou, L. S.; Zhu, W. Modeling and analysis of the forced Fisher equation. (English) Zbl 1073.35123 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 19-40 (2005). Reviewer: Pavol Quittner (Bratislava) MSC: 35K60 PDFBibTeX XMLCite \textit{M. D. Gunzburger} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 62, No. 1, 19--40 (2005; Zbl 1073.35123) Full Text: DOI
Giraldo, A.; Morón, M. A.; Ruiz Del Portal, F. R.; Sanjurjo, J. M. R. Shape of global attractors in topological spaces. (English) Zbl 1060.37010 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 5, 837-847 (2005). Reviewer: Friedrich Wilhelm Bauer (Frankfurt a. M.) MSC: 37B25 54C56 55P55 55Q07 PDFBibTeX XMLCite \textit{A. Giraldo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 5, 837--847 (2005; Zbl 1060.37010) Full Text: DOI
Hamouda, Makram; Rakotoson, Jean Michel; Verbeke, Cédric Qualitative properties of some equations related to fluid mechanics. (English) Zbl 1092.35078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 3, 501-514 (2005). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q30 76D05 35B40 PDFBibTeX XMLCite \textit{M. Hamouda} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 3, 501--514 (2005; Zbl 1092.35078) Full Text: DOI
Wrzosek, Dariusz Global attractor for a chemotaxis model with prevention of overcrowding. (English) Zbl 1065.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 8, 1293-1310 (2004). Reviewer: Sergey Zelik (Stuttgart) MSC: 35B41 37L30 35K50 PDFBibTeX XMLCite \textit{D. Wrzosek}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 59, No. 8, 1293--1310 (2004; Zbl 1065.35072) Full Text: DOI
Hou, Yanren; Li, Kaitai The uniform attractor for the 2D non-autonomous Navier-Stokes flow in some unbounded domain. (English) Zbl 1057.35031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 5-6, 609-630 (2004). Reviewer: Thomas Elsken (Rostock) MSC: 35Q30 37L30 76D05 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 58, No. 5--6, 609--630 (2004; Zbl 1057.35031) Full Text: DOI
Zheng, Songmu; Milani, Albert Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations. (English) Zbl 1055.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 5-6, 843-877 (2004). Reviewer: Bruno Scarpellini (Basel) MSC: 35B41 35B42 35Q55 35B25 PDFBibTeX XMLCite \textit{S. Zheng} and \textit{A. Milani}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 5--6, 843--877 (2004; Zbl 1055.35028) Full Text: DOI
Chen, Qihong Minimax control for evolutionary variational bilateral problem. (English) Zbl 1047.49001 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 2, 229-252 (2004). MSC: 49J20 49K20 35J85 49J35 49K35 49J40 PDFBibTeX XMLCite \textit{Q. Chen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 2, 229--252 (2004; Zbl 1047.49001) Full Text: DOI
Zhou, Shengfan Kernel sections for viscoelasticity and thermoviscoelasticity. (English) Zbl 1122.35379 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 4, 351-380 (2003). MSC: 35R10 35B41 35L60 74D10 74F05 PDFBibTeX XMLCite \textit{S. Zhou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 4, 351--380 (2003; Zbl 1122.35379) Full Text: DOI
Lu, Youmin; Shao, Zhoude Determining nodes for partly dissipative reaction diffusion systems. (English) Zbl 1029.35039 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 5, 873-884 (2003). MSC: 35B40 35K57 PDFBibTeX XMLCite \textit{Y. Lu} and \textit{Z. Shao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 5, 873--884 (2003; Zbl 1029.35039) Full Text: DOI
Cárdenas, José W.; Thompson, Mark Error estimates and existence of solutions for an atmospheric model of Lorenz on periodic domains. (English) Zbl 1020.35074 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 1, 123-142 (2003). MSC: 35Q35 86A05 76M20 PDFBibTeX XMLCite \textit{J. W. Cárdenas} and \textit{M. Thompson}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 54, No. 1, 123--142 (2003; Zbl 1020.35074) Full Text: DOI
Pintér, Gabriella A. Global attractor for damped abstract nonlinear hyperbolic systems. (English) Zbl 1024.35020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 5, 653-668 (2003). Reviewer: Yuxia Guo (Giessen) MSC: 35B41 35L70 35K90 37L30 PDFBibTeX XMLCite \textit{G. A. Pintér}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 53, No. 5, 653--668 (2003; Zbl 1024.35020) Full Text: DOI
Rekalo, Andrey M. Asymptotic behavior of solutions of nonlinear parabolic equations on two-layer thin domains. (English) Zbl 1026.35016 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 5, 1393-1410 (2003). Reviewer: Peter Polacik (Minneapolis) MSC: 35B40 37L25 35K57 35B42 PDFBibTeX XMLCite \textit{A. M. Rekalo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 5, 1393--1410 (2003; Zbl 1026.35016) Full Text: DOI
Boussari, A.; Saramito, B. Regular solution and global attractor for a 2D slab of plasma with resistivity depending on a flux function. (English) Zbl 1037.76067 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 19-39 (2003). Reviewer: A. Cichocka (Katowice) MSC: 76W05 35Q35 76X05 35B40 PDFBibTeX XMLCite \textit{A. Boussari} and \textit{B. Saramito}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 19--39 (2003; Zbl 1037.76067) Full Text: DOI
Ströhmer, Gerhard About the equations of non-stationary magneto-hydrodynamics. (English) Zbl 1021.35088 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1249-1273 (2003). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q35 76W05 PDFBibTeX XMLCite \textit{G. Ströhmer}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 4, 1249--1273 (2003; Zbl 1021.35088) Full Text: DOI
Rezounenko, Alexander V. Inertial manifolds for retarded second order in time evolution equations. (English) Zbl 1023.35087 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 6, 1045-1054 (2002). Reviewer: B.Scarpellini (Basel) MSC: 35R10 37D10 37L25 35B42 35L70 PDFBibTeX XMLCite \textit{A. V. Rezounenko}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 51, No. 6, 1045--1054 (2002; Zbl 1023.35087) Full Text: DOI
Park, Jong Yeoul; Bae, Jeong Ja Variational inequality for quasilinear wave equations with nonlinear damping terms. (English) Zbl 1004.35100 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 8, 1065-1083 (2002). Reviewer: Igor Bock (Bratislava) MSC: 35L80 49J40 PDFBibTeX XMLCite \textit{J. Y. Park} and \textit{J. J. Bae}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 50, No. 8, 1065--1083 (2002; Zbl 1004.35100) Full Text: DOI
Andreu, F.; Mazón, J. M.; Toledo, J.; Rossi, J. D. Porous medium equation with absorption and a nonlinear boundary condition. (English) Zbl 1011.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 4, 541-563 (2002). Reviewer: Georg V.Jaiani (Tbilisi) MSC: 35Q35 76S05 35K65 PDFBibTeX XMLCite \textit{F. Andreu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 49, No. 4, 541--563 (2002; Zbl 1011.35109) Full Text: DOI
Caraballo, T.; Langa, J. A.; Valero, J. Global attractors for multivalued random dynamical systems. (English) Zbl 1004.37035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 6, 805-829 (2002); addendum ibid. 61, No. 1-2, 277-279 (2005). Reviewer: Messoud Efendiev (Berlin) MSC: 37H10 60H15 34G25 35B41 35R70 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 6, 805--829 (2002; Zbl 1004.37035) Full Text: DOI
Duan, Jinqiao; Ervin, Vincent J. On the stochastic Kuramoto-Sivashinsky equation. (English) Zbl 0976.60059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 2, 205-216 (2001). Reviewer: Mihai Gradinaru (Nancy) MSC: 60H15 35K15 35K20 35R60 PDFBibTeX XMLCite \textit{J. Duan} and \textit{V. J. Ervin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 44, No. 2, 205--216 (2001; Zbl 0976.60059) Full Text: DOI arXiv
Zhan, Mei-Qin Phase-lock equations and its connections to Ginzburg-Landau equations of superconductivity. (English) Zbl 0966.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 6, 1063-1075 (2000). Reviewer: Aleksander Pankov (Vinnitsa) MSC: 35K55 35A05 PDFBibTeX XMLCite \textit{M.-Q. Zhan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 42, No. 6, 1063--1075 (2000; Zbl 0966.35061) Full Text: DOI