Abstract :
We prove the uniqueness of the very singular solution for an equation of the
form
utsD um.yu p in QsRN = 0, `., 1.
where 1y2rN.q-m-1 and 1-p-mq2rN.
The solution we find is of the form
u x, t.sty1r py1.f h., hs< x
Keywords :
a very singular solution , Uniqueness , a self-similarsolution , a porous media equation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications