Mouajria, Hattab; Tayachi, Slim; Weissler, Fred B. Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values. (English) Zbl 1442.35238 Adv. Nonlinear Stud. 20, No. 2, 311-337 (2020). MSC: 35K91 35K55 35B30 35B40 35C06 47A20 PDFBibTeX XMLCite \textit{H. Mouajria} et al., Adv. Nonlinear Stud. 20, No. 2, 311--337 (2020; Zbl 1442.35238) Full Text: DOI arXiv
Naito, Yūki Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data. (English) Zbl 1439.35305 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 789-811 (2020). MSC: 35K91 35C06 35K15 35K58 35B40 PDFBibTeX XMLCite \textit{Y. Naito}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 789--811 (2020; Zbl 1439.35305) 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
Tayachi, Slim; Weissler, Fred B. The nonlinear heat equation involving highly singular initial values and new blowup and life span results. (English) Zbl 1391.35210 J. Elliptic Parabol. Equ. 4, No. 1, 141-176 (2018). MSC: 35K55 35A01 35B44 35K57 35C15 PDFBibTeX XMLCite \textit{S. Tayachi} and \textit{F. B. Weissler}, J. Elliptic Parabol. Equ. 4, No. 1, 141--176 (2018; Zbl 1391.35210) 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; Yin, Jingxue Proper spaces for the asymptotic convergence of solutions of porous medium equation. (English) Zbl 1379.35031 Nonlinear Anal., Real World Appl. 38, 261-270 (2017). MSC: 35B40 35K65 35K15 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Yin}, Nonlinear Anal., Real World Appl. 38, 261--270 (2017; Zbl 1379.35031) 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
Meyer, J. C.; Needham, D. J. The evolution to localized and front solutions in a non-Lipschitz reaction-diffusion Cauchy problem with trivial initial data. (English) Zbl 1361.35095 J. Differ. Equations 262, No. 3, 1747-1776 (2017). MSC: 35K58 34C37 35C06 PDFBibTeX XMLCite \textit{J. C. Meyer} and \textit{D. J. Needham}, J. Differ. Equations 262, No. 3, 1747--1776 (2017; Zbl 1361.35095) Full Text: DOI arXiv
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
Xie, Jian; Tu, Ziheng A solution of the complex Ginzburg-Landau equation with a continuum of decay rates. (English) Zbl 1324.35177 Appl. Math., Ser. B (Engl. Ed.) 29, No. 3, 367-373 (2014). MSC: 35Q56 35B40 PDFBibTeX XMLCite \textit{J. Xie} and \textit{Z. Tu}, Appl. Math., Ser. B (Engl. Ed.) 29, No. 3, 367--373 (2014; Zbl 1324.35177) Full Text: DOI