TY - CHAP AU - Bénilan, Philippe AU - Boccardo, L. AU - Herrero, Miguel A. PY - 1989 SN - 0373-1243 UR - https://hdl.handle.net/20.500.14352/60767 AB - Let f∈L1(RN), N≥1, f≥0, and consider the Cauchy problem ut=Δum on ]0,∞[×RN, u(0,⋅)=f on RN. The authors prove that as m→∞, the corresponding solutions um(t)→u_=f+Δw in L1(RN), uniformly for t in a compact set in ]0,∞[, where 0≤w_∈L1(Rn) is the... LA - eng M2 - 1 PB - Libreria Editrice Universitaria Levrotto & Bella TI - On the limit of solutions of ut=Δum as m→∞ TY - book part ER -