TY - JOUR
T1 - Estimation for Solutions of Ill-Posed Cauchy Problems of Differential Equation with Pseudo-Differential Operators
AU - Guan-Quan Zhang
JO - Journal of Computational Mathematics
VL - 1
SP - 10
EP - 23
PY - 1984
DA - 1984/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9635.html
KW - 
AB - <p style="text-align: justify;">The estimation for solutions for the ill-posed Cauchy problems of the differential equation $\frac{du(t)}{dt}=A(t)u(t)+N(t)u(t),\forall t\in (0,1)$ is discussed, where $A(t)$ is a 2-nd order p.d.o. and $N(t)$ is a uniformly bounded $h-›H$ linear operator. Two estimates of $||u(t)||$ are obtained.</p>