Peng, Kangqing; Wei, Jinying; Li, Yongjun Global dynamics of a nonclassical diffusion equation in solids. (English) Zbl 1512.35109 Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2681-2693 (2023). MSC: 35B41 35B10 35K20 35K59 35K91 76R50 37L50 PDFBibTeX XMLCite \textit{K. Peng} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 4, 2681--2693 (2023; Zbl 1512.35109) Full Text: DOI
Xie, Yongqin; Liu, Di; Zhang, Jiangwei; Liu, Ximeng Uniform attractors for nonclassical diffusion equations with perturbed parameter and memory. (English) Zbl 1511.35045 J. Math. Phys. 64, No. 2, Article ID 022701, 16 p. (2023). MSC: 35B41 35B40 37L30 PDFBibTeX XMLCite \textit{Y. Xie} et al., J. Math. Phys. 64, No. 2, Article ID 022701, 16 p. (2023; Zbl 1511.35045) Full Text: DOI
Xie, Yongqin; Li, Jun; Zhu, Kaixuan Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth. (English) Zbl 1487.35106 Adv. Difference Equ. 2021, Paper No. 75, 18 p. (2021). MSC: 35B41 35K57 35B40 35K70 37L30 PDFBibTeX XMLCite \textit{Y. Xie} et al., Adv. Difference Equ. 2021, Paper No. 75, 18 p. (2021; Zbl 1487.35106) Full Text: DOI
Toan, Nguyen Duong Optimal control of nonclassical diffusion equations with memory. (English) Zbl 1467.35328 Acta Appl. Math. 169, 533-558 (2020). MSC: 35Q93 35Q35 93C20 49J20 35B41 37L30 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{N. D. Toan}, Acta Appl. Math. 169, 533--558 (2020; Zbl 1467.35328) Full Text: DOI
Lee, Jihoon; Toi, Vu Manh Attractors for nonclassical diffusion equations with dynamic boundary conditions. (English) Zbl 1435.35074 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111737, 26 p. (2020). MSC: 35B41 35K57 37L30 PDFBibTeX XMLCite \textit{J. Lee} and \textit{V. M. Toi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111737, 26 p. (2020; Zbl 1435.35074) Full Text: DOI
Wang, Yonghai; Zhu, Zilong; Li, Pengrui Regularity of pullback attractors for nonautonomous nonclassical diffusion equations. (English) Zbl 1391.35243 J. Math. Anal. Appl. 459, No. 1, 16-31 (2018). Reviewer: Stefanie Sonner (Graz) MSC: 35K70 35B41 37B55 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Math. Anal. Appl. 459, No. 1, 16--31 (2018; Zbl 1391.35243) Full Text: DOI
Moskvicheva, Polina Olegovna A numerical experiment for the Barenblatt-Zheltov-Kochina equation in a bounded domain. (English) Zbl 1427.37061 J. Comput. Eng. Math. 4, No. 2, 41-48 (2017). MSC: 37L15 37L65 65M60 76S05 35G15 35Q35 PDFBibTeX XMLCite \textit{P. O. Moskvicheva}, J. Comput. Eng. Math. 4, No. 2, 41--48 (2017; Zbl 1427.37061) Full Text: DOI MNR
Bortolan, Matheus C.; Rivero, Felipe Non-autonomous perturbations of a non-classical non-autonomous parabolic equation with subcritical nonlinearity. (English) Zbl 1379.37131 Appl. Math. Nonlinear Sci. 2, No. 1, 31-60 (2017). MSC: 37L05 35K55 35B20 35K35 35B40 PDFBibTeX XMLCite \textit{M. C. Bortolan} and \textit{F. Rivero}, Appl. Math. Nonlinear Sci. 2, No. 1, 31--60 (2017; Zbl 1379.37131) Full Text: DOI
Rivero, Felipe; Márquez-Durán, Antonio M.; Caraballo, Tomás Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic. (English) Zbl 1366.35233 Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1817-1833 (2017). MSC: 35R15 35B41 37B55 47J35 PDFBibTeX XMLCite \textit{F. Rivero} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 5, 1817--1833 (2017; Zbl 1366.35233) Full Text: DOI
Caraballo, Tomás; Márquez-Durán, Antonio M.; Rivero, Felipe A nonclassical and nonautonomous diffusion equation containing infinite delays. (English) Zbl 1353.35309 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 385-399 (2016). MSC: 35R15 35R10 35B41 37B55 47J35 PDFBibTeX XMLCite \textit{T. Caraballo} et al., Springer Proc. Math. Stat. 164, 385--399 (2016; Zbl 1353.35309) Full Text: DOI
Ma, Qiaozhen; Wang, Xiaoping; Xu, Ling Existence and regularity of time-dependent global attractors for the nonclassical reaction-diffusion equations with lower forcing term. (English) Zbl 1331.35054 Bound. Value Probl. 2016, Paper No. 10, 11 p. (2016). MSC: 35B41 35K57 35B33 35B25 37L30 45K05 PDFBibTeX XMLCite \textit{Q. Ma} et al., Bound. Value Probl. 2016, Paper No. 10, 11 p. (2016; Zbl 1331.35054) Full Text: DOI
Wang, Lingzhi; Wang, Yonghai; Qin, Yuming Upper semicontinuity of attractors for nonclassical diffusion equations in \(H^1(\mathbb{R}^3)\). (English) Zbl 1334.37090 Appl. Math. Comput. 240, 51-61 (2014). MSC: 37L30 35B41 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Comput. 240, 51--61 (2014; Zbl 1334.37090) Full Text: DOI
Zhu, Chang Rong; Zhang, Wei Nian Persistence of bounded solutions to degenerate Sobolev-Galpern equations. (English) Zbl 1209.35071 Sci. China, Math. 53, No. 11, 2831-2846 (2010). MSC: 35K65 35K70 37D05 PDFBibTeX XMLCite \textit{C. R. Zhu} and \textit{W. N. Zhang}, Sci. China, Math. 53, No. 11, 2831--2846 (2010; Zbl 1209.35071) Full Text: DOI
Shang, Yadong; Guo, Boling Finite dimensional behavior for forced nonlinear Sobolev-Galpern equations. (English) Zbl 1071.35023 Acta Math. Appl. Sin., Engl. Ser. 20, No. 2, 247-256 (2004). MSC: 35B41 35B40 35K70 37L30 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{B. Guo}, Acta Math. Appl. Sin., Engl. Ser. 20, No. 2, 247--256 (2004; Zbl 1071.35023) Full Text: DOI