双曲型方程未知源的反问题

Inverse problem of determination of unknown source term for one-dimensional hyperbolic equation of half-line

讨论了一维半线性双曲型方程未知源的反问题,给出了反问题的逼近形式,利用相关的辅助问题, 证明了反问题局部解的存在唯一性,并且未知源可逼近求解.

The inverse problem of determination of unknown source term is discussed for one-dimensional hyperbolic equation of half-line. Approach form is given for inverse problem by using correlative problem of assistant. The existence and uniqueness of part solution for inverse problem is proved, and unknown source can be solved by successive approximation.