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应用Leray-Schauder不动点原理,上、下解方法及能量积分估计等,论证了一类非线性强耦合反应扩散方程组初边值问题在适当条件下光滑解的存在唯一性.
Abstract:In this paper,by using Leray-Schauder fixed point theorem,the upper and lower so-lutions method,the energy in tegral estimate methed and so on the author proved the existence and uniqueness of the smoothing solution of the initial bou ndary value problem for a class of nonlinear strongly coupled reaction diffusion syste ms with some appropriate conditions.
1MokhtorKirane.OlobelBoundsandAsymptoticsforaSystemofReaction-DiffusionEquations.JMathAnalAppl,1989.138(2):328~3422叶其孝,李正元.反应扩散方程引论.北京:科学出版社,19903WeihuaRuan.BoundedSolutionsforReaction-DiffusionSystemswithNonlinearBoundaryconditions.Nonlin-earAnalysls.1990,14(2):1051~10774谢春红.关于拟线性反应扩散方程和方程组的一种单调方法.数学物理学报,1988.8(2):147~1575LiZhengyuan,YeQixiao.OnMultiplePositivePeridicSolutionsforParabolicSystem.ApplMathJofChineseUniversity,1992,7(3):367~3806HerbertAmann.ExistenceandMultiplicityTheoremsforSemilinearEllipticBoundaryValueProblem.MathZ,1976,150:281~2957DingChengwen(丁崇文),ExistenceandUniquenca,sofSolutionfortheInitialBoundaryValueProblemofNon-linearParabolicSystem.AnnofDiffEqs,1989,5(3):271~282
基本信息:
中图分类号:O175.29
引用信息:
[1]江成顺.一类非线性强耦合反应扩散方程组初边值问题[J].郑州大学学报(自然科学版),1994(04).
1994-12-20
1994-12-20