TY  - JOUR
AU  - Herrero, Miguel A.
AU  - Pierre, Michel
PY  - 1985
DO  - 10.2307/1999900
SN  - 0002-9947
UR  - https://hdl.handle.net/20.500.14352/64723
T2  - Transactions of the American Mathematical Society
AB  - This paper deals with the Cauchy problem for the nonlinear diffusion equation ∂u/∂t - Δ (u|u|m+1) = 0 on (0, ∞) x RN,u(0, .) = u0 when 0 < m < 1 (fast diffusion case). We prove that there exists a global time solution for any locally integrable...
LA  - eng
M2  - 145
PB  - American Mathematical Society
KW  - Cauchy problem
KW  - nonlinear diffusion
KW  - initial-value problem
KW  - regularizing effects.
TI  - The Cauchy problem for ut = Δu(m) when 0<m<1
TY  - journal article
VL  - 291
ER  -