| Summary: | 碩士 === 國立高雄師範大學 === 數學教育研究所 === 83 ===
This paper is concerned with the existence and uniqueness of initial value problem of the modified Benjamin-Bona-Mahony (mBBM for short) equation
Ut + U(2)Ux - Uxxt = 0, x? R, t>0,
u(x,0)=u0(x), x ? R.
We also study the same problem as above but with a forcing term f(x,t)
Ut + U(2)Ux, - Uxxt = f(x,t), x ? R, t>0,
U{x, 0) = U0(x), x? R,
In both of the initial-value problems mentioned above, we study the existence and uniqueness for the problems under the conditions on the initial value Uo(x)? H(1)(R)nC(2)b(R) and the forcing function f(x,t) ?CT n LT(for a given finite T >0) is provided.
|
|---|
