Chen, You Peng; Xie, Chun Hong Global existence and nonexistence for a strongly coupled parabolic system with nonlinear boundary conditions. (English) Zbl 1116.35056 Acta Math. Sin., Engl. Ser. 22, No. 5, 1297-1304 (2006). Reviewer: Sen-Zhong Huang (Hamburg) MSC: 35K50 35K57 35K60 35K65 PDFBibTeX XMLCite \textit{Y. P. Chen} and \textit{C. H. Xie}, Acta Math. Sin., Engl. Ser. 22, No. 5, 1297--1304 (2006; Zbl 1116.35056) Full Text: DOI
Duan, Zhiwen; Xie, Chunhong; Zhou, Li Blow-up solution for the degenerate quasilinear parabolic system with nonlinear boundary condition. (English) Zbl 1090.35092 Comput. Math. Appl. 50, No. 5-6, 895-917 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K50 35K60 35B44 34B05 PDFBibTeX XMLCite \textit{Z. Duan} et al., Comput. Math. Appl. 50, No. 5--6, 895--917 (2005; Zbl 1090.35092) Full Text: DOI
Yang, Xiuhui; Li, Fucai; Xie, Chunhong Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions. (English) Zbl 1112.35092 Acta Math. Sin., Engl. Ser. 21, No. 4, 923-928 (2005). Reviewer: Grzegorz Karch (Wrocław) MSC: 35K50 35B40 35K55 35K65 PDFBibTeX XMLCite \textit{X. Yang} et al., Acta Math. Sin., Engl. Ser. 21, No. 4, 923--928 (2005; Zbl 1112.35092) Full Text: DOI
Deng, Zhiwen Duanweibing; Xie, Chunhong Uniform blow-up profile for a degenerate parabolic system with nonlocal source. (English) Zbl 1061.35039 Comput. Math. Appl. 47, No. 6-7, 977-995 (2004). MSC: 35K65 35B05 45K05 35K50 PDFBibTeX XMLCite \textit{Z. D. Deng} and \textit{C. Xie}, Comput. Math. Appl. 47, No. 6--7, 977--995 (2004; Zbl 1061.35039) Full Text: DOI
Wang, Mingxin; Xie, Chunhong A degenerate and strongly coupled quasilinear parabolic system not in divergence form. (English) Zbl 1181.35132 Z. Angew. Math. Phys. 55, No. 5, 741-755 (2004). MSC: 35K51 35K55 35K65 PDFBibTeX XMLCite \textit{M. Wang} and \textit{C. Xie}, Z. Angew. Math. Phys. 55, No. 5, 741--755 (2004; Zbl 1181.35132) Full Text: DOI
Huang, Shuxiang; Xu, Shiming; Xie, Chunhong Theoretical analysis to a reaction-diffusion system arising in a diffusive epidemic model. (English) Zbl 1062.35026 Acta Math. Sci., Ser. B, Engl. Ed. 24, No. 2, 175-184 (2004). MSC: 35K50 35K55 35K57 92C60 35B40 PDFBibTeX XMLCite \textit{S. Huang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 24, No. 2, 175--184 (2004; Zbl 1062.35026) Full Text: DOI
Li, Mei; Xie, Chunhong Global existence and blow-up of solutions for degenerate parabolic systems. (English) Zbl 1056.35098 J. Math., Wuhan Univ. 24, No. 2, 197-203 (2004). MSC: 35K65 35K55 35B05 35K50 PDFBibTeX XMLCite \textit{M. Li} and \textit{C. Xie}, J. Math., Wuhan Univ. 24, No. 2, 197--203 (2004; Zbl 1056.35098)
Deng, Weibing; Li, Yuxiang; Xie, Chunhong Semilinear reaction-diffusion systems with nonlocal sources. (English) Zbl 1051.35034 Math. Comput. Modelling 37, No. 9-10, 937-943 (2003). MSC: 35K50 35K57 35B40 PDFBibTeX XMLCite \textit{W. Deng} et al., Math. Comput. Modelling 37, No. 9--10, 937--943 (2003; Zbl 1051.35034) Full Text: DOI
Chen, Youpeng; Xie, Chunhong Global existence and finite time blow up for a strongly coupled parabolic system with nonlinear boundary conditions. (English) Zbl 1059.35050 Math. Appl. 16, No. 3, 23-30 (2003). MSC: 35K50 35K55 35K57 35B40 35B33 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{C. Xie}, Math. Appl. 16, No. 3, 23--30 (2003; Zbl 1059.35050)
Li, Fu-Cai; Huang, Shu-Xiang; Xie, Chun-Hong Global existence and blow-up of solutions to a nonlocal reaction-diffusion system. (English) Zbl 1043.35069 Discrete Contin. Dyn. Syst. 9, No. 6, 1519-1532 (2003). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35K50 35B40 35K57 35K60 PDFBibTeX XMLCite \textit{F.-C. Li} et al., Discrete Contin. Dyn. Syst. 9, No. 6, 1519--1532 (2003; Zbl 1043.35069) Full Text: DOI
Li, Yuxiang; Xie, Chunhong Quasilinear parabolic systems of several components. (English) Zbl 1032.35079 Math. Ann. 327, No. 2, 395-407 (2003). Reviewer: Dian K.Palagachev (Bari) MSC: 35K50 35K55 35K65 PDFBibTeX XMLCite \textit{Y. Li} and \textit{C. Xie}, Math. Ann. 327, No. 2, 395--407 (2003; Zbl 1032.35079) Full Text: DOI
Deng, Weibing; Li, Yuxiang; Xie, Chunhong Global existence and nonexistence for a class of degenerate parabolic systems. (English) Zbl 1032.35077 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 3, 233-244 (2003). Reviewer: Q.P.Liu (Urbana) MSC: 35K50 35K65 PDFBibTeX XMLCite \textit{W. Deng} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 55, No. 3, 233--244 (2003; Zbl 1032.35077) Full Text: DOI
Deng, Weibing; Li, Yuxiang; Xie, Chunhong A nonlinear degenerate parabolic system with non-local source and crosswise-diffusion. (English) Zbl 1027.35044 Z. Angew. Math. Phys. 54, No. 3, 503-516 (2003). Reviewer: Michael Grinfeld (Glasgow) MSC: 35K50 35K55 35K65 PDFBibTeX XMLCite \textit{W. Deng} et al., Z. Angew. Math. Phys. 54, No. 3, 503--516 (2003; Zbl 1027.35044) Full Text: DOI
Li, Fucai; Chen, Youpeng; Xie, Chunhong Asymptotic behavior of solution for nonlocal reaction-diffusion system. (English) Zbl 1029.35119 Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 2, 261-273 (2003). MSC: 35K50 35B40 35K57 PDFBibTeX XMLCite \textit{F. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 23, No. 2, 261--273 (2003; Zbl 1029.35119) Full Text: DOI
Deng, Weibing; Li, Yuxiang; Xie, Chunhong Blow-up and global existence for a nonlocal degenerate parabolic system. (English) Zbl 1030.35096 J. Math. Anal. Appl. 277, No. 1, 199-217 (2003). Reviewer: Shigeru Sakaguchi (Ehime) MSC: 35K50 35K55 35B33 35K65 PDFBibTeX XMLCite \textit{W. Deng} et al., J. Math. Anal. Appl. 277, No. 1, 199--217 (2003; Zbl 1030.35096) Full Text: DOI
Li, Yuxiang; Liu, Qilin; Xie, Chunhong Semilinear reaction–diffusion systems of several components. (English) Zbl 1029.35138 J. Differ. Equations 187, No. 2, 510-519 (2003). Reviewer: H.Marcinkowska (Wrocław) MSC: 35K60 35K57 35B05 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Differ. Equations 187, No. 2, 510--519 (2003; Zbl 1029.35138) Full Text: DOI
Deng, Weibing; Li, Yuxiang; Xie, Chunhong Existence and nonexistence of global solutions of some non-local degenerate parabolic systems. (English) Zbl 1112.35330 Proc. Am. Math. Soc. 131, No. 5, 1573-1582 (2003). MSC: 35K50 35K55 35K65 PDFBibTeX XMLCite \textit{W. Deng} et al., Proc. Am. Math. Soc. 131, No. 5, 1573--1582 (2003; Zbl 1112.35330) Full Text: DOI
Li, Yuxiang; Deng, Weibing; Xie, Chunhong Global existence and nonexistence for degenerate parabolic systems. (English) Zbl 1090.35094 Proc. Am. Math. Soc. 130, No. 12, 3661-3670 (2002). MSC: 35K50 35K55 35K65 PDFBibTeX XMLCite \textit{Y. Li} et al., Proc. Am. Math. Soc. 130, No. 12, 3661--3670 (2002; Zbl 1090.35094) Full Text: DOI
Lin, Zhigui; Xie, Chunhong The blow-up rate for a system of heat equations with Neumann boundary conditions. (Chinese. English summary) Zbl 1013.35042 Acta Math. Sin. 43, No. 6, 1027-1030 (2000). MSC: 35K50 35B35 35B40 35K55 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{C. Xie}, Acta Math. Sin. 43, No. 6, 1027--1030 (2000; Zbl 1013.35042)
Wang, Shu; Wang, Mingxin; Xie, Chunhong Quasilinear parabolic systems with nonlinear boundary conditions. (English) Zbl 0973.35093 J. Differ. Equations 166, No. 2, 251-265 (2000). Reviewer: Gary M.Lieberman (Ames) MSC: 35K50 35K60 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Differ. Equations 166, No. 2, 251--265 (2000; Zbl 0973.35093) Full Text: DOI
Li, Fucai; Xie, Chunhong Global existence and blow-up of solutions for degenerate semilinear parabolic systems. (Chinese. English summary) Zbl 0955.35045 J. Nanjing Univ., Math. Biq. 17, No. 1, 68-77 (2000). MSC: 35K65 35K50 35B40 PDFBibTeX XMLCite \textit{F. Li} and \textit{C. Xie}, J. Nanjing Univ., Math. Biq. 17, No. 1, 68--77 (2000; Zbl 0955.35045)
Lin, Zhigui; Xie, Chunhong The blow-up properties of solutions to a system of semilinear heat equations with nonlinear boundary conditions. (Chinese. English summary) Zbl 0969.35076 Acta Math. Appl. Sin. 22, No. 2, 243-250 (1999). Reviewer: Jialin Hong (Beijing) MSC: 35K50 35K55 35B05 35K60 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{C. Xie}, Acta Math. Appl. Sin. 22, No. 2, 243--250 (1999; Zbl 0969.35076)
Lin, Zhigui; Xie, Chunhong The blow-up rate for a system of heat equations with Neumann boundary conditions. (English) Zbl 0935.35075 Acta Math. Sin., Engl. Ser. 15, No. 4, 549-554 (1999). MSC: 35K60 35K50 35B40 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{C. Xie}, Acta Math. Sin., Engl. Ser. 15, No. 4, 549--554 (1999; Zbl 0935.35075) Full Text: DOI
Wang, Mingxin; Wang, Shu; Xie, Chunhong Critical Fujita exponents for nonlocal reaction diffusion systems. (English) Zbl 0934.35060 J. Partial Differ. Equations 12, No. 3, 201-212 (1999). Reviewer: M.Fila (Bratislava) MSC: 35K45 35B33 PDFBibTeX XMLCite \textit{M. Wang} et al., J. Partial Differ. Equations 12, No. 3, 201--212 (1999; Zbl 0934.35060)
Wang, Shu; Xie, Chunhong Travelling front solution for a class of competition-diffusion system with high-order singular point. (English) Zbl 0931.35086 Appl. Math., Ser. B (Engl. Ed.) 14, No. 3, 321-328 (1999). MSC: 35K65 35K57 35K50 35K55 PDFBibTeX XMLCite \textit{S. Wang} and \textit{C. Xie}, Appl. Math., Ser. B (Engl. Ed.) 14, No. 3, 321--328 (1999; Zbl 0931.35086) Full Text: DOI
Wang, Shu; Xie, Chunhong; Wang, Mingxin The blow-up rate for a system of heat equations completely coupled in the boundary conditions. (English) Zbl 0919.35062 Nonlinear Anal., Theory Methods Appl. 35, No. 3, A, 389-398 (1999). Reviewer: P.Quittner (Bratislava) MSC: 35K60 35K50 35B40 PDFBibTeX XMLCite \textit{S. Wang} et al., Nonlinear Anal., Theory Methods Appl. 35, No. 3, 389--398 (1999; Zbl 0919.35062) Full Text: DOI
Lin, Zhigui; Xie, Chunhong Blowup rate of positive solution of a semilinear parabolic system. (English) Zbl 0987.35012 Chin. Sci. Bull. 43, No. 2, 101-103 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 35B05 35K50 35K55 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{C. Xie}, Chin. Sci. Bull. 43, No. 2, 101--103 (1998; Zbl 0987.35012) Full Text: DOI
Lin, Zhigui; Xie, Chunhong The blow-up rate for a system of heat equations with nonlinear boundary conditions. (English) Zbl 0941.35008 Nonlinear Anal., Theory Methods Appl. 34, No. 5, 767-778 (1998). Reviewer: P.Quittner (Bratislava) MSC: 35B40 35K50 PDFBibTeX XMLCite \textit{Z. Lin} and \textit{C. Xie}, Nonlinear Anal., Theory Methods Appl. 34, No. 5, 767--778 (1998; Zbl 0941.35008) Full Text: DOI
Lin, Zhigui; Xie, Chunhong; Wang, Mingxin The blow-up properties of solutions to a parabolic system with localized nonlinear reactions. (English) Zbl 0920.35077 Acta Math. Sci. (Engl. Ed.) 18, No. 4, 413-420 (1998). MSC: 35K57 35B05 35K40 35B40 PDFBibTeX XMLCite \textit{Z. Lin} et al., Acta Math. Sci. (Engl. Ed.) 18, No. 4, 413--420 (1998; Zbl 0920.35077)
Lin, Zhigui; Xie, Chunhong; Wang, Mingxin The blow-up property for a system of heat equations with nonlinear boundary conditions. (English) Zbl 0920.35081 Appl. Math., Ser. B (Engl. Ed.) 13, No. 3, 281-288 (1998). MSC: 35K60 35B05 35B40 35K50 PDFBibTeX XMLCite \textit{Z. Lin} et al., Appl. Math., Ser. B (Engl. Ed.) 13, No. 3, 281--288 (1998; Zbl 0920.35081) Full Text: DOI
Wang, Shu; Xie, Chunhong; Wang, Mingxin Note on critical exponents for a system of heat equations coupled in the boundary conditions. (English) Zbl 0891.35052 J. Math. Anal. Appl. 218, No. 1, 313-324 (1998). Reviewer: P.Quittner (Bratislava) MSC: 35K50 35B40 35K60 PDFBibTeX XMLCite \textit{S. Wang} et al., J. Math. Anal. Appl. 218, No. 1, 313--324 (1998; Zbl 0891.35052) Full Text: DOI
Lin, Zhigui; Xie, Chunhong; Wang, Mingxin The blow-up rate of positive solution of a parabolic system. (English) Zbl 0898.35043 Northeast. Math. J. 13, No. 3, 372-378 (1997). MSC: 35K50 35B40 35K55 PDFBibTeX XMLCite \textit{Z. Lin} et al., Northeast. Math. J. 13, No. 3, 372--378 (1997; Zbl 0898.35043)
Jiang, Chengshun; Wang, Mingxin; Xie, Chunhong Asymptotic behavior of solutions for some chemical reaction models. (English) Zbl 0900.35176 Chin. Sci. Bull. 42, No. 3, 260-262 (1997). MSC: 35K50 35B40 35K57 92E20 35K55 PDFBibTeX XMLCite \textit{C. Jiang} et al., Chin. Sci. Bull. 42, No. 3, 260--262 (1997; Zbl 0900.35176) Full Text: DOI
Zhang, Tianlin; Xie, Chunhong On existence of a global solution to a nonlinear Schrödinger system. (Chinese. English summary) Zbl 0693.35080 J. Nanjing Univ., Nat. Sci. Ed. 25, No. 3, 9-16 (1989). MSC: 35K55 35J10 35A05 PDFBibTeX XML
Xie, Chunhong The quenching of solutions of semilinear parabolic systems. (English) Zbl 0662.35059 Acta Math. Sci. 6, 267-277 (1986). MSC: 35K60 35A05 35B40 35K50 35K20 35K55 PDFBibTeX XMLCite \textit{C. Xie}, Acta Math. Sci. 6, 267--277 (1986; Zbl 0662.35059)