Cao, Dat; Hoang, Luan; Kieu, Thinh Infinite series asymptotic expansions for decaying solutions of dissipative differential equations with non-smooth nonlinearity. (English) Zbl 1477.34076 Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 62, 38 p. (2021). MSC: 34D05 34A25 34C05 34A36 PDF BibTeX XML Cite \textit{D. Cao} et al., Qual. Theory Dyn. Syst. 20, No. 3, Paper No. 62, 38 p. (2021; Zbl 1477.34076) Full Text: DOI arXiv OpenURL
Casas, Eduardo; Kunisch, Karl Using sparse control methods to identify sources in linear diffusion-convection equations. (English) Zbl 1447.35376 Inverse Probl. 35, No. 11, Article ID 114002, 17 p. (2019). MSC: 35R30 35K20 PDF BibTeX XML Cite \textit{E. Casas} and \textit{K. Kunisch}, Inverse Probl. 35, No. 11, Article ID 114002, 17 p. (2019; Zbl 1447.35376) Full Text: DOI Link OpenURL
Hào, Dinh Nho; van Duc, Nguyen; van Thang, Nguyen Backward semi-linear parabolic equations with time-dependent coefficients and local Lipschitz source. (English) Zbl 06897208 Inverse Probl. 34, No. 5, Article ID 055010, 33 p. (2018). MSC: 35-XX 65-XX PDF BibTeX XML Cite \textit{D. N. Hào} et al., Inverse Probl. 34, No. 5, Article ID 055010, 33 p. (2018; Zbl 06897208) Full Text: DOI OpenURL
Fadili, Mohamed; Maniar, Lahcen Null controllability of \(n\)-coupled degenerate parabolic systems with \(m\)-controls. (English) Zbl 1387.35326 J. Evol. Equ. 17, No. 4, 1311-1340 (2017). MSC: 35K20 35K65 47D06 93B05 93B07 PDF BibTeX XML Cite \textit{M. Fadili} and \textit{L. Maniar}, J. Evol. Equ. 17, No. 4, 1311--1340 (2017; Zbl 1387.35326) Full Text: DOI OpenURL
Hapuarachchi, Sujeewa; Xu, Yongzhi Backward heat equation with time dependent variable coefficient. (English) Zbl 1364.35431 Math. Methods Appl. Sci. 40, No. 4, 928-938 (2017). MSC: 35R25 35K05 PDF BibTeX XML Cite \textit{S. Hapuarachchi} and \textit{Y. Xu}, Math. Methods Appl. Sci. 40, No. 4, 928--938 (2017; Zbl 1364.35431) Full Text: DOI OpenURL
Nguyen Van Duc; Nguyen Van Thang Stability results for semi-linear parabolic equations backward in time. (English) Zbl 1357.35196 Acta Math. Vietnam. 42, No. 1, 99-111 (2017). MSC: 35K58 PDF BibTeX XML Cite \textit{Nguyen Van Duc} and \textit{Nguyen Van Thang}, Acta Math. Vietnam. 42, No. 1, 99--111 (2017; Zbl 1357.35196) Full Text: DOI OpenURL
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel Partial null controllability of parabolic linear systems. (English) Zbl 1347.93053 Math. Control Relat. Fields 6, No. 2, 185-216 (2016). MSC: 93B05 93B07 93C20 93C05 35K40 PDF BibTeX XML Cite \textit{F. A. Khodja} et al., Math. Control Relat. Fields 6, No. 2, 185--216 (2016; Zbl 1347.93053) Full Text: DOI arXiv OpenURL
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain Optimal decay estimates for the general solution to a class of semi-linear dissipative hyperbolic equations. (English) Zbl 1353.35061 J. Eur. Math. Soc. (JEMS) 18, No. 9, 1961-1982 (2016). MSC: 35B40 35L71 35L90 PDF BibTeX XML Cite \textit{M. Ghisi} et al., J. Eur. Math. Soc. (JEMS) 18, No. 9, 1961--1982 (2016; Zbl 1353.35061) Full Text: DOI arXiv OpenURL
Barbu, Viorel; Röckner, Michael Backward uniqueness of stochastic parabolic like equations driven by Gaussian multiplicative noise. (English) Zbl 1336.60117 Stochastic Processes Appl. 126, No. 7, 2163-2179 (2016). MSC: 60H15 35K58 35Q30 35R60 60G15 47N20 93B05 PDF BibTeX XML Cite \textit{V. Barbu} and \textit{M. Röckner}, Stochastic Processes Appl. 126, No. 7, 2163--2179 (2016; Zbl 1336.60117) Full Text: DOI arXiv OpenURL
Ghisi, Marina; Gobbino, Massimo; Haraux, Alain A description of all possible decay rates for solutions of some semilinear parabolic equations. (English. French summary) Zbl 1403.35142 J. Math. Pures Appl. (9) 103, No. 4, 868-899 (2015). MSC: 35K90 35K58 35B40 35K61 PDF BibTeX XML Cite \textit{M. Ghisi} et al., J. Math. Pures Appl. (9) 103, No. 4, 868--899 (2015; Zbl 1403.35142) Full Text: DOI arXiv OpenURL
Trong, Dang Duc; Duy, Bui Thanh; Minh, Mach Nguyet Backward heat equations with locally Lipschitz source. (English) Zbl 1331.35393 Appl. Anal. 94, No. 10, 2023-2036 (2015). MSC: 35R30 35K05 35R25 35A22 PDF BibTeX XML Cite \textit{D. D. Trong} et al., Appl. Anal. 94, No. 10, 2023--2036 (2015; Zbl 1331.35393) Full Text: DOI OpenURL
Del Santo, Daniele; Prizzi, Martino A new result on backward uniqueness for parabolic operators. (English) Zbl 1320.35005 Ann. Mat. Pura Appl. (4) 194, No. 2, 387-403 (2015). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35A02 35K10 35S50 35R25 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, Ann. Mat. Pura Appl. (4) 194, No. 2, 387--403 (2015; Zbl 1320.35005) Full Text: DOI arXiv OpenURL
Földes, J.; Poláčik, P. Equilibria with a nontrivial nodal set and the dynamics of parabolic equations on symmetric domains. (English) Zbl 1328.35109 J. Differ. Equations 258, No. 6, 1859-1888 (2015). Reviewer: Antonio Greco (Cagliari) MSC: 35K58 35B06 35B08 PDF BibTeX XML Cite \textit{J. Földes} and \textit{P. Poláčik}, J. Differ. Equations 258, No. 6, 1859--1888 (2015; Zbl 1328.35109) Full Text: DOI arXiv OpenURL
Boyer, Franck; Olive, Guillaume Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. (English) Zbl 1303.93036 Math. Control Relat. Fields 4, No. 3, 263-287 (2014). MSC: 93B05 93B07 93C05 35K05 PDF BibTeX XML Cite \textit{F. Boyer} and \textit{G. Olive}, Math. Control Relat. Fields 4, No. 3, 263--287 (2014; Zbl 1303.93036) Full Text: DOI OpenURL
Hetzer, Georg; Nguyen, Tung; Shen, Wenxian \({\mathcal A}\)-stability of global attractors of competition diffusion systems. (English) Zbl 1205.35032 J. Dyn. Differ. Equations 22, No. 3, 533-561 (2010). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B41 35B42 37D15 35K51 92D25 PDF BibTeX XML Cite \textit{G. Hetzer} et al., J. Dyn. Differ. Equations 22, No. 3, 533--561 (2010; Zbl 1205.35032) Full Text: DOI OpenURL
Phan Thanh Nam An approximate solution for nonlinear backward parabolic equations. (English) Zbl 1194.35494 J. Math. Anal. Appl. 367, No. 2, 337-349 (2010). MSC: 35R25 35K05 65M30 65M15 PDF BibTeX XML Cite \textit{Phan Thanh Nam}, J. Math. Anal. Appl. 367, No. 2, 337--349 (2010; Zbl 1194.35494) Full Text: DOI OpenURL
Giorgi, C.; Naso, M. G.; Pata, V.; Potomkin, M. Global attractors for the extensible thermoelastic beam system. (English) Zbl 1173.35027 J. Differ. Equations 246, No. 9, 3496-3517 (2009). Reviewer: M. Marin (Brasov) MSC: 35B41 35B10 37B25 74F05 74K10 74H60 PDF BibTeX XML Cite \textit{C. Giorgi} et al., J. Differ. Equations 246, No. 9, 3496--3517 (2009; Zbl 1173.35027) Full Text: DOI arXiv OpenURL
Kukavica, Igor Log-log convexity and backward uniqueness. (English) Zbl 1119.35007 Proc. Am. Math. Soc. 135, No. 8, 2415-2421 (2007). Reviewer: Bruno Scarpellini (Basel) MSC: 35B42 35B41 35K55 34G20 35K15 76D03 PDF BibTeX XML Cite \textit{I. Kukavica}, Proc. Am. Math. Soc. 135, No. 8, 2415--2421 (2007; Zbl 1119.35007) Full Text: DOI OpenURL
Del Santo, Daniele; Prizzi, Martino Backward uniqueness for parabolic operators whose coefficients are non-Lipschitz continuous in time. (English) Zbl 1074.35042 J. Math. Pures Appl., IX. Sér. 84, No. 4, 471-491 (2005). Reviewer: Dinh Nho Hao (Brussels) MSC: 35K15 PDF BibTeX XML Cite \textit{D. Del Santo} and \textit{M. Prizzi}, J. Math. Pures Appl. (9) 84, No. 4, 471--491 (2005; Zbl 1074.35042) Full Text: DOI OpenURL
Kukavica, Igor Backward uniqueness for solutions of linear parabolic equations. (English) Zbl 1039.35049 Proc. Am. Math. Soc. 132, No. 6, 1755-1760 (2004). Reviewer: Lubomira Softova (Bari) MSC: 35K15 PDF BibTeX XML Cite \textit{I. Kukavica}, Proc. Am. Math. Soc. 132, No. 6, 1755--1760 (2004; Zbl 1039.35049) Full Text: DOI OpenURL
Dickstein, Flávio; Cazenave, Thierry; Weissler, Fred B. Universal solutions of a nonlinear heat equation on \(\mathbb R^N\). (English) Zbl 1170.35448 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 1, 77-117 (2003). MSC: 35K55 35B40 PDF BibTeX XML Cite \textit{F. Dickstein} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 1, 77--117 (2003; Zbl 1170.35448) Full Text: EuDML OpenURL
Hasanov, Alemdar; Mueller, Jennifer L. A numerical method for backward parabolic problems with non-selfadjoint elliptic operators. (English) Zbl 0976.65080 Appl. Numer. Math. 37, No. 1-2, 55-78 (2001). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 65M12 35K15 PDF BibTeX XML Cite \textit{A. Hasanov} and \textit{J. L. Mueller}, Appl. Numer. Math. 37, No. 1--2, 55--78 (2001; Zbl 0976.65080) Full Text: DOI OpenURL
Micu, Sorin; Zuazua, Enrique On the lack of null-controllability of the heat equation on the half-line. (English) Zbl 0969.35022 Trans. Am. Math. Soc. 353, No. 4, 1635-1659 (2001). Reviewer: Vladimir Răsvan (Craiova) MSC: 35B37 93B05 35K05 93C20 35K20 PDF BibTeX XML Cite \textit{S. Micu} and \textit{E. Zuazua}, Trans. Am. Math. Soc. 353, No. 4, 1635--1659 (2001; Zbl 0969.35022) Full Text: DOI EuDML OpenURL
Rodríguez-Bernal, Aníbal On the construction of inertial manifolds under symmetry constraints. I: Abstract results. (English) Zbl 0770.58036 Nonlinear Anal., Theory Methods Appl. 19, No. 7, 687-700 (1992). Reviewer: I.Mihai (Bucureşti) MSC: 37C80 35G10 35K25 35B40 58D25 PDF BibTeX XML Cite \textit{A. Rodríguez-Bernal}, Nonlinear Anal., Theory Methods Appl. 19, No. 7, 687--700 (1992; Zbl 0770.58036) Full Text: DOI OpenURL
Rodríguez-Bernal, Aníbal Initial value problem and asymptotic low dimensional behavior in the Kuramoto-Velarde equation. (English) Zbl 0796.35149 Nonlinear Anal., Theory Methods Appl. 19, No. 7, 643-685 (1992). MSC: 35Q53 35B40 35B65 37C70 PDF BibTeX XML Cite \textit{A. Rodríguez-Bernal}, Nonlinear Anal., Theory Methods Appl. 19, No. 7, 643--685 (1992; Zbl 0796.35149) Full Text: DOI OpenURL
Hayasida, Kazuya On a backward estimate of solutions of the porous media equation. (English) Zbl 0743.35013 Nonlinear Anal., Theory Methods Appl. 16, No. 11, 1011-1023 (1991). Reviewer: M.Kracht (Düsseldorf) MSC: 35B45 35K57 PDF BibTeX XML Cite \textit{K. Hayasida}, Nonlinear Anal., Theory Methods Appl. 16, No. 11, 1011--1023 (1991; Zbl 0743.35013) Full Text: DOI OpenURL
Rodriguez Bernal, Anibal Inertial manifolds for dissipative semiflows in Banach spaces. (English) Zbl 0678.35006 Appl. Anal. 37, No. 1-4, 95-141 (1990). Reviewer: A.Rodriguez Bernal MSC: 35B40 35G10 35K25 37C10 58J70 37C80 PDF BibTeX XML Cite \textit{A. Rodriguez Bernal}, Appl. Anal. 37, No. 1--4, 95--141 (1990; Zbl 0678.35006) Full Text: DOI OpenURL
Nicolaenko, B.; Scheurer, B.; Temam, R. Some global dynamical properties of a class of pattern formation equations. (English) Zbl 0691.35019 Commun. Partial Differ. Equations 14, No. 2, 245-297 (1989). Reviewer: Y.Ebihara MSC: 35B45 35K55 35K25 76F99 35B35 PDF BibTeX XML Cite \textit{B. Nicolaenko} et al., Commun. Partial Differ. Equations 14, No. 2, 245--297 (1989; Zbl 0691.35019) Full Text: DOI Link OpenURL
Galdi, G. P.; Straughan, B. Stability of solutions of the Navier-Stokes equations backward in time. (English) Zbl 0658.76028 Arch. Ration. Mech. Anal. 101, No. 2, 107-114 (1988). Reviewer: F.A.Howes MSC: 76D05 35Q30 PDF BibTeX XML Cite \textit{G. P. Galdi} and \textit{B. Straughan}, Arch. Ration. Mech. Anal. 101, No. 2, 107--114 (1988; Zbl 0658.76028) Full Text: DOI OpenURL
Biler, Piotr Exponential decay of solutions of damped nonlinear hyperbolic equations. (English) Zbl 0656.35091 Nonlinear Anal., Theory Methods Appl. 11, 841-849 (1987). MSC: 35L70 35B05 35B40 35R20 PDF BibTeX XML Cite \textit{P. Biler}, Nonlinear Anal., Theory Methods Appl. 11, 841--849 (1987; Zbl 0656.35091) Full Text: DOI OpenURL
Foias, C.; Manley, O.; Temam, R. Attractors for the Bénard problem: Existence and physical bounds on their fractal dimension. (English) Zbl 0646.76098 Nonlinear Anal., Theory Methods Appl. 11, 939-967 (1987). MSC: 76R05 58J65 PDF BibTeX XML Cite \textit{C. Foias} et al., Nonlinear Anal., Theory Methods Appl. 11, 939--967 (1987; Zbl 0646.76098) Full Text: DOI OpenURL
Ghidaglia, J. M.; Héron, B. Dimension of the attractors associated to the Ginzburg-Landau partial differential equation. (English) Zbl 0623.58049 Physica D 28, 282-304 (1987). MSC: 58Z05 35Q99 37C70 PDF BibTeX XML Cite \textit{J. M. Ghidaglia} and \textit{B. Héron}, Physica D 28, 282--304 (1987; Zbl 0623.58049) Full Text: DOI OpenURL
Ghidaglia, Jean-Michel Long time behaviour of solutions of abstract inequalities. Applications to thermohydraulic and magnetohydrodynamic equations. (English) Zbl 0549.35102 J. Differ. Equations 61, 268-294 (1986). MSC: 35Q30 35B40 76D05 35R45 76W05 PDF BibTeX XML Cite \textit{J.-M. Ghidaglia}, J. Differ. Equations 61, 268--294 (1986; Zbl 0549.35102) Full Text: DOI OpenURL