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一类非线性抛物方程
A Class of Nonlinear Parabolic Equation
【摘要】 考虑一类带非线性函数项的非线性抛物方程的周期边界问题及初值问题.采用Garlerkin方法及积分估计证明了解的存在唯一性.
【Abstract】 Here is discussed a class of system of nonlinear parabolic equations with nonlinear functionals. Using galerkin method, we proved the existence and uniqueness of the solutions for the period boundary problem and the Cauchy problem.
【关键词】 非线性;
抛物方程;
周期边界;
先验估计;
【Key words】 nonlinear; parabolic equation; periodic boundary; priori estimate;
【Key words】 nonlinear; parabolic equation; periodic boundary; priori estimate;
- 【文献出处】 昆明理工大学学报 ,JOURNAL OF KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1996年S1期
- 【分类号】O175.26
- 【下载频次】25