# Acta Mathematicae Applicatae Sinica, English Series

Acta Mathematicae Applicatae Sinica, English Series > 1997 > 13 > 4 > 414-424

*u*/∂

*t*−

*i*Δ

*u*+|

*u*|

^{ p }

*u*=

*f*and

*u*(

*x*,0)=

*u*

_{0}(

*x*), where

*u*is defined on

*R*

^{+}×

*R*

^{2}. We prove the existence and uniqueness of global weak solutions of the above equations. Lastly, we consider the special case:

*p*=2, and we obtain the strong solutions.

Acta Mathematicae Applicatae Sinica, English Series > 1998 > 14 > 4 > 373-373

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 85-102

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 153-160

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 147-152

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 123-130

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 37-62

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 77-84

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 117-122

*A*

^{−1}‖

_{∞}and ‖

*A*

^{−1}‖

_{1}of a strictly diagonally dominant matrix

*A*. On the Basis of the result, we obtain an estimate for the smallest singular value of

*A*. Secondly, by scaling with a positive diagonal matrix

*D*, we obtain some simple estimates for the smallest singular value of an

*H*-matrix, which is not necessarily positive definite. Finally, we give some examples...

Acta Mathematicae Applicatae Sinica, English Series > 2002 > 18 > 1 > 9-14