TY - JOUR AU - Robinson, James C. AU - Rodríguez Bernal, Aníbal PY - 2018 DO - 10.1016/j.aim.2018.06.009 UR - https://hdl.handle.net/20.500.14352/88777 T2 - Advances in Mathematics AB - We analyse the behaviour of solutions of the linear heat equation in Rd for initial data in the classes Mε (Rd ) of Radon measures with e−ε|x|2 d|u0| < ∞. We show that Rd these classes are optimal for local and global existence of non-negative... LA - eng M2 - 488 PB - Elsevier KW - Heat equation KW - Asymptotic behaviour KW - Blowup TI - Optimal existence classes and nonlinear-like dynamics in the linear heat equation in Rd TY - journal article VL - 334 ER -