一类多维线性拟双曲方程的整体强解(Ⅱ)—初值问题

Global Strong Solutions for a Class of Nonlinear Pseudo -hyperbolic Eguations in Multidiraensionsions (Ⅱ) -Inititial Value Problem

本文在文〔1〕基础上,研究一类多维非线性拟双曲方程的初值问题叭t一力uf:/(2Jf)+"(2,,/,u,尸u,u门尸u》 (1)ult-。:u。(留) , IJtl,蹲。 二u:<.丁) (2)在f,g满足与〔1〕类似的条件下,证明了问题(1),(2)整体强解的存在与唯一性。

This paper based on [1] study the initial value problem for class of multididimentional nonlinear pseudo-hyperbolic equations Suppose that f, g satisfy conditions similar to [1], We have proved the exi-stens and uniguness of global strong solution.