Hu, Yuanyuan; Wang, Liangwei; Yin, Jingxue Complexity of asymptotic behavior of solutions for the fractional porous medium equation. (English) Zbl 1512.35472 Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3985-3996 (2023). MSC: 35Q35 76S05 35B40 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Hu} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 7, 3985--3996 (2023; Zbl 1512.35472) Full Text: DOI
Deng, Liwei; Wang, Liangwei; Li, Min; Yin, Jingxue Relation between solutions and initial values for double-nonlinear diffusion equation. (English) Zbl 1485.35051 Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 939-952 (2022). MSC: 35B40 35K15 35K59 35K65 35K92 PDFBibTeX XMLCite \textit{L. Deng} et al., Bull. Malays. Math. Sci. Soc. (2) 45, No. 2, 939--952 (2022; Zbl 1485.35051) Full Text: DOI
Wu, Yuqiu; Yin, Jingxue; Wang, Liangwei; Tu, Zhengwen Complicated asymptotic behavior of solutions for the fourth-order parabolic equation with absorption. (English) Zbl 1475.35066 Appl. Math. Lett. 120, Article ID 107278, 7 p. (2021). MSC: 35B40 35K35 35K58 PDFBibTeX XMLCite \textit{Y. Wu} et al., Appl. Math. Lett. 120, Article ID 107278, 7 p. (2021; Zbl 1475.35066) Full Text: DOI
Wu, Yuqiu; Wang, Liangwei; Zhou, Langhao Complicated asymptotic behavior of solutions for the Cauchy problem of Cahn-Hilliard equation. (English) Zbl 1426.35036 Appl. Math. Lett. 98, 95-100 (2019). MSC: 35B40 35K30 PDFBibTeX XMLCite \textit{Y. Wu} et al., Appl. Math. Lett. 98, 95--100 (2019; Zbl 1426.35036) Full Text: DOI
de Miranda, Luís H.; Planas, Gabriela Parabolic \(p\)-Laplacian revisited: global regularity and fractional smoothness. (English) Zbl 1406.35169 Commun. Contemp. Math. 21, No. 1, Article ID 1850020, 30 p. (2019). MSC: 35K92 35B65 35K59 PDFBibTeX XMLCite \textit{L. H. de Miranda} and \textit{G. Planas}, Commun. Contemp. Math. 21, No. 1, Article ID 1850020, 30 p. (2019; Zbl 1406.35169) Full Text: DOI
Dkhil, F.; Hamza, M. A.; Mannoubi, B. Asymptotic profiles for a class of perturbed Burgers equations in one space dimension. (English) Zbl 1402.35142 Opusc. Math. 38, No. 1, 41-80 (2018). MSC: 35K55 35B20 35B40 35C20 35L05 35L60 PDFBibTeX XMLCite \textit{F. Dkhil} et al., Opusc. Math. 38, No. 1, 41--80 (2018; Zbl 1402.35142) Full Text: DOI
Robinson, James C.; Rodríguez-Bernal, Aníbal Optimal existence classes and nonlinear-like dynamics in the linear heat equation in \(\mathbb{R}^d\). (English) Zbl 1400.35151 Adv. Math. 334, 488-543 (2018). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35K05 35B40 35B44 35K15 PDFBibTeX XMLCite \textit{J. C. Robinson} and \textit{A. Rodríguez-Bernal}, Adv. Math. 334, 488--543 (2018; Zbl 1400.35151) Full Text: DOI arXiv
Roquejoffre, Jean-Michel; Roussier-Michon, Violaine Nontrivial dynamics beyond the logarithmic shift in two-dimensional Fisher-KPP equations. (English) Zbl 1393.35103 Nonlinearity 31, No. 7, 3284-3307 (2018). MSC: 35K57 35B40 35B35 35C07 PDFBibTeX XMLCite \textit{J.-M. Roquejoffre} and \textit{V. Roussier-Michon}, Nonlinearity 31, No. 7, 3284--3307 (2018; Zbl 1393.35103) Full Text: DOI arXiv
Wang, Liangwei; Yin, Jingxue; Zhou, Yong Complicated asymptotic behavior of solutions for porous medium equation in unbounded space. (English) Zbl 1391.35211 J. Differ. Equations 264, No. 10, 6302-6324 (2018). Reviewer: Vincenzo Vespri (Firenze) MSC: 35K55 35B40 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Differ. Equations 264, No. 10, 6302--6324 (2018; Zbl 1391.35211) Full Text: DOI
Wang, Liangwei; Yin, Jngxue; Wu, Yuqiu Complicated asymptotic behavior exponents for solutions of the evolution \(p\)-Laplacian equation with absorption. (English) Zbl 1377.35172 Bound. Value Probl. 2017, Paper No. 73, 14 p. (2017). MSC: 35K65 35B40 PDFBibTeX XMLCite \textit{L. Wang} et al., Bound. Value Probl. 2017, Paper No. 73, 14 p. (2017; Zbl 1377.35172) Full Text: DOI
Wang, Liangwei Relation between solutions and initial values for evolution \(p\)-Laplacian equation. (English) Zbl 1524.35086 Appl. Math. Lett. 69, 55-60 (2017). MSC: 35B40 35K65 35K05 35K55 35C06 PDFBibTeX XMLCite \textit{L. Wang}, Appl. Math. Lett. 69, 55--60 (2017; Zbl 1524.35086) Full Text: DOI
Wang, Liangwei; Yin, Jngxue; Cao, Jinde Remark on the Cauchy problem for the evolution \(p\)-Laplacian equation. (English) Zbl 1505.35257 J. Inequal. Appl. 2017, Paper No. 175, 16 p. (2017). MSC: 35K92 35B40 35K15 35K65 PDFBibTeX XMLCite \textit{L. Wang} et al., J. Inequal. Appl. 2017, Paper No. 175, 16 p. (2017; Zbl 1505.35257) Full Text: DOI
Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. The heat semigroup on sectorial domains, highly singular initial values and applications. (English) Zbl 1365.35051 J. Evol. Equ. 16, No. 2, 341-364 (2016). Reviewer: Rodica Luca (Iaşi) MSC: 35K05 35B40 35B06 35B30 35B60 47A20 PDFBibTeX XMLCite \textit{H. Mouajria} et al., J. Evol. Equ. 16, No. 2, 341--364 (2016; Zbl 1365.35051) Full Text: DOI
Wang, Liangwei; Yin, Jingxue Complicated asymptotic behavior of solutions for a porous medium equation with nonlinear sources. (English) Zbl 1284.35079 Bound. Value Probl. 2013, Paper No. 35, 12 p. (2013). MSC: 35B40 35K55 35K65 35K15 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Yin}, Bound. Value Probl. 2013, Paper No. 35, 12 p. (2013; Zbl 1284.35079) Full Text: DOI
Bages, Michaël; Martinez, Patrick; Roquejoffre, Jean-Michel How travelling waves attract the solutions of KPP-type equations. (English) Zbl 1284.35108 Trans. Am. Math. Soc. 364, No. 10, 5415-5468 (2012). Reviewer: Tomáš Dohnal (Karlsruhe) MSC: 35C07 35K57 35B35 42A38 35B40 35K58 PDFBibTeX XMLCite \textit{M. Bages} et al., Trans. Am. Math. Soc. 364, No. 10, 5415--5468 (2012; Zbl 1284.35108) Full Text: DOI
Wang, Liangwei; Yin, Jingxue Complicated asymptotic behavior of solutions for heat equation in some weighted space. (English) Zbl 1247.35054 Abstr. Appl. Anal. 2012, Article ID 463082, 15 p. (2012). MSC: 35K05 35B40 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Yin}, Abstr. Appl. Anal. 2012, Article ID 463082, 15 p. (2012; Zbl 1247.35054) Full Text: DOI
Yin, Jingxue; Wang, Liangwei; Huang, Rui Complexity of asymptotic behavior of the porous medium equation in \({\mathbb{R}^N}\). (English) Zbl 1364.35170 J. Evol. Equ. 11, No. 2, 429-455 (2011). MSC: 35K65 35B40 35B33 PDFBibTeX XMLCite \textit{J. Yin} et al., J. Evol. Equ. 11, No. 2, 429--455 (2011; Zbl 1364.35170) Full Text: DOI
Roquejoffre, Jean-Michel; Roussier-Michon, Violaine Nontrivial large-time behaviour in bistable reaction-diffusion equations. (English) Zbl 1178.35074 Ann. Mat. Pura Appl. (4) 188, No. 2, 207-233 (2009). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35B40 35K57 35B35 PDFBibTeX XMLCite \textit{J.-M. Roquejoffre} and \textit{V. Roussier-Michon}, Ann. Mat. Pura Appl. (4) 188, No. 2, 207--233 (2009; Zbl 1178.35074) Full Text: DOI
Cuesta, C. M.; Pop, I. S. Numerical schemes for a pseudo-parabolic Burgers equation: Discontinuous data and long-time behaviour. (English) Zbl 1154.76036 J. Comput. Appl. Math. 224, No. 1, 269-283 (2009). MSC: 76M12 76D99 35Q35 PDFBibTeX XMLCite \textit{C. M. Cuesta} and \textit{I. S. Pop}, J. Comput. Appl. Math. 224, No. 1, 269--283 (2009; Zbl 1154.76036) Full Text: DOI
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B. Nonparabolic asymptotic limits of solutions of the heat equation on \({\mathbb{R}}^N\). (English) Zbl 1143.35008 J. Dyn. Differ. Equations 19, No. 3, 789-818 (2007). Reviewer: A. Cichocka (Katowice) MSC: 35B40 35K05 35K55 PDFBibTeX XMLCite \textit{T. Cazenave} et al., J. Dyn. Differ. Equations 19, No. 3, 789--818 (2007; Zbl 1143.35008) Full Text: DOI
Kim, Yong Jung; McCann, Robert J. Potential theory and optimal convergence rates in fast nonlinear diffusion. (English) Zbl 1112.35025 J. Math. Pures Appl. (9) 86, No. 1, 42-67 (2006). Reviewer: Dagmar Medková (Praha) MSC: 35B40 31B15 35K65 PDFBibTeX XMLCite \textit{Y. J. Kim} and \textit{R. J. McCann}, J. Math. Pures Appl. (9) 86, No. 1, 42--67 (2006; Zbl 1112.35025) Full Text: DOI
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 PDFBibTeX XMLCite \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