regarding debugging code in static mode

[invincible]

hi , I have a problem where in I get core dump if i build
my appln in static mode , but I dont get any core dump if
if my application is compiled in debug mode.

I think , this problem is quite resonable because , I have seen
in debug mode local varible unintialised would be initilised to
0 in case of debug mode , but this is not seen in static mode.

My questions

1. Is there any type of problem that can occur in static mode
2. Is there any way to debug core
3. is there any way to trace the bug

Thanks

Mohan