任意维数的半线性拟抛物方程组的初边值问题

Initial Boundary Value Problems of Systems of Semilinear Pseudoparabolic Equations in Arbitrary Dimensions

本文研究任意维数的半线性拟抛物方程组ｕｔ＝△ｕｔ＝ｆ（ｕ）的初边值问题，得到整体广义解与整体强解的存在唯一性，部分地改进了［１］的结果。

In this paper we study the initial boundary value problems of systems of semilinear pseudoparabolic equations u1-△ut=f(u),we obtain the existence and uniqueness of the global generalized solution and the global strong solution, the results of [1] are generaliged and improved partially.