一类波动方程解的渐近行为

The Asymptotic Behavior of Solution for a Class of Wave Equations

研究三维空间中一类非线性波动方程解的渐近理论 ,在古典空间C2 中得到了渐近近似解的合理性在长时间t∈ [0 ,｜ε｜-12 -k(p-1) ](ε充分小 ,1p - 1<2 -k(p - 1) <1,p >3)内成立 .

WT5”BZ]In this paper, the authors deal with the asymptotic theory of initial value problems of nonlinear wave equations in three space dimensions. The validity of asymptotic approximations on a long time scale t∈[0,｜ε｜ -12-k(p-1) ](ε is sufficiently small, 1p-1<2-k(p-1)<1, p>3) is discussed in the classical space C 2. [WT5”HZ]