[1] 吴春晨.一类非局部边值条件抛物型方程组解的性质[J].江南大学学报(自然科学版),2015,14(2):222-225. DOI:10.3969/j.issn.1671-7147.2015.02.018. WU C C. A nonlinear parabolic system with nonlocal boundary conditions[J]. Journal of Jiangnan University( Natural Science Edition), 2015,14(2):222-225. DOI:10.3969/j.issn.1671-7147.2015.02.018. [2] 宋慧,曾有栋.具有非局部边界和局部化源拋物方程组解的全局存在与爆破性[J].生物数学学报,2014,29(4):711-717. SONG H, ZENG Y D. Global blow-up for a localized nonlinear parabolic system with a nonlocal boundary condition[J]. Journal of Biomathematics, 2014,29(4):711-717. [3] 吴春晨.一类非局部边值条件抛物型方程组解的性质研究[J].郑州大学学报( 理学版),2014,46(4):18-22。 WU C C.The properties of solutions for a nonlinear parabolic system with nonlocal boundary conditions[J].Zhengzhou Univ( Nat Sci Ed ),2014,46(4):18-22. [4] 樊彩虹,容跃堂,房春梅,等.退化反应扩散方程组解的整体存在和有限爆破[J].纺织高校基础科学学报,2016,29(1): 35-38. DOI:10.13338/j.issn.1006-8341.2016.01.006. FAN C H,RONG Y T,FANG C M, etc. Global existence and finite time blow-up for a degenerate reaction-diffusion system [J]. Basic Sciences Journal of Textile Universities, 2016,29(1):35-38. DOI:10.13338/j.issn.1006-8341.2016.01.006. [5] 王文海.具非局部源和非局部边界条件抛物方程组解的性质[J].中北大学学报(自然科学版),2012,33(4): 372-375. DOI:10.3969/j.issn.1673-3193.2012.04.005. WANG W H. Properties of solution to a parabolic system with nonlocal source and nonlocal boundary conditions[J].Journal of North University of China(Natural Science Edition),2012,33(4):372-375. DOI:10.3969/j.issn.1673-3193.2012.04.005. [6] 樊彩虹,李平,郭晓霞,等.半线性反应扩散耦合系统解的整体存在与爆破[J].内蒙古师范大学学报(自然科学汉文版),2015,44(6):735-737,742. DOI:10.3969/j.issn.1001-8735.2015.06.004. FAN C H,LI P,GUO X X,et al.The Global existence and blow-up for the solutions of the system of semilinear reaction diffusion couling[J].Journal of Inner Mongolia Normal University(Natural Science tdition),2014,43(6): 680-688. DOI:10.3969/j.issn.1001-8735.2015.06.004. [7] 王玉兰,穆春来.一类具有非局部源的拟线性抛物型方程组的一致爆破模式[J].四川大学学报(自然科学版),2008,45(5):7001-3101. DOI:10.3969/j.issn.0490-6756.2008.05.002. WANG Y L, MU C L. Uniform blow up profiles for a quasilinear parabolic system with nonlocal sources[J].Journal of Sichuan University(Natural Science Edition), 2008,45(5):7001-3101. DOI:10.3969/j.issn.0490-6756.2008.05.002. [8] 周泽文, 凌征球.源项耦合的退化抛物型方程组解的爆破和整体存在[J].应用数学,2015, 28(3): 540-548. ZHOU Z W, LING Z Q. Blow-up and global existence of solutions to a degenerate parabolic equations coupled via nonlinear sources[J]. Mathematica Applicata, 2015, 28(3): 540-548. [9] 薛应珍.一类具有非线性吸收项和边界流的抛物型方程组解的整体存在及爆破问题[J].纺织高校基础科学学报,2013,26(2):214-219. DOI:10.3969/j.issn.1006-8341.2013.02.017. XUE Y Z. Global existence and blow up problem for a parabolic equations with nonlinear absorption term and boundary flux[J]. Basic Sciences Journal of Textile Universities, 2013,26(2):214-219. DOI:10.3969/j.issn.1006-8341.2013.02.017. [10] 庞凤琴,王玉兰,李慧芳. 一类带吸引项的抛物型方程在记忆边界条件下解的性质[J]. 西华大学学报( 自然科学版),2016,35(2):82-87. DOI:10.3969/j.issn.1673-159X.2016.02.016. PANG F Q,WANG Y L,LI H F.The properties of a parabolic equation with absorb term and memoryboundary condition[J].Journal of Xihua University( Natural Science)2016,35(2):82-87. DOI:10.3969/j.issn.1673-159X.2016.02.016. [11] ZHANG H,KONG L H, ZHANG S N. Propagations of singularities in a parabolic system with coupling nonlocal sources[J].Sci in China: Ser A,2009,52(1):181-194. DOI:10.1007/s11425-008-0135-7. [12] LI Y X,DENG W B,XIE C H.Global existence and nonexistence for degenerate parabolic systems [J]. Proc Amer Math Soc,2002,130(12):3661-3670. [13] DENG W B,LI Y X,XIE C H.Existence and nonexistence of global solution of some nonlocal degenerate parabolic system[J].Proc Amer Math Soc,2003,131(5):1573-1582. DOI:10.1016/s0893-9659(03)80118-0. [14] ZHANG Y,SONG X J.Global existence and blow-up for a degenerate parabolic systems with nonlocal source [J].Journal of Southwest University(Natural Science Edition),2008,30(9):80-84. [15] BUDDAL C J,DOLD J W,GALAKTIONOV V A.Global blow-up for a semilinear heat equation on a subspace [J].Proceedings of the Royal Society of Edinburgh:Section A Mathematics,2015,145(5):893-923. DOI:10.1017/s0308210515000256. [16] 党苏娟,容跃堂,张航国.非局部反应扩散方程组解的整体存在与爆破[J].纺织高校基础科学,2013,26(4): 481-485. DANG S J,RONG Y T,ZHANG H G.Global existence and blow-up of solution for nonlocal reaction diffusion equtions[J].Basic Sciences Journal of Textile Universities,2013,26(4):481-485. [17] 樊彩虹,李平,郭晓霞,等.具非局部源退化抛物系统解的整体存在与爆破[J].内蒙古师范大学学报(自然科学汉文版),2014,43(6):680-688. FAN C H,LI P,GUO X X,et al.Global existence and blow-up for the solutions of a degenerate parabolic system with nonlocal sources[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2014,43(6): 680-688. [18] 樊彩虹,容跃堂.一类带非局部源的反应扩散方程组解的整体存在[J].纺织高校基础科学学报,2009,22(2): 172-176. DOI:10.3969/j.issn.1006-8341.2009.02.011. FAN C H,RONG Y T.Global existence for a degenerate reaction-diffusion system with nonlocal sources[J]. Basic Sciences Journal of Textile Universities,2009,22(2):172-176. DOI:10.3969/j.issn.1006-8341.2009.02.011. [19] ZHANG H,KONG L H, ZHENG S N.Propagations of singularities in a parabolic system with coupling nonlocal sources[J].Sci in China:Ser A,2009,52(1):181-194. DOI:10.3969/j.issn.1006-8341.2009.02.009. [20] PAO C V. Nonlinear parabolic and elliptic equations[M].London:Plenum Press,1992. |