任意维数非齐GBBM方程的初边值问题  

Initial Boundary Value Problem of InhomogeneousGBBM Equation in Arbitrary Dimensions

作　　者：张宏志[1] 

机构地区：[1]东北电力学院

出　　处：《哈尔滨理工大学学报》1997年第3期90-93,共4页Journal of Harbin University of Science and Technology

摘　　要：研究了任意维数的非齐ＧＢＢＭ方程的初边值问题，并在关于非线性项的增长条件较弱的假设下，得到了整体强解的存在惟一性，从某些方面改进和推广了已知结果。In this paper, the initial boundary value problem of inhomogeneous GBBM equation in arbitrary dimensions is studied, and under some weaker hypotheses on the growth conditions for nonlinear terms, the existence and uniqueness of global strong solution are obtained, thus known results are improved and generalized in some respect.

关 键 词：GBBM方程 初边值问题 整体强解 偏微分方程 

分 类 号：O175.26[理学—数学]