TY - JOUR AU - Rodríguez Bernal, Aníbal AU - Robinson, James C. PY - 2020 DO - 10.1016/j.jde.2020.07.017 UR - https://hdl.handle.net/20.500.14352/88699 T2 - Journal of Differential Equations AB - In this paper we show that solutions of the heat equation that are given in terms of the heat kernel define semigroups on the family of Fréchet spaces Lp0 (Rd ), the intersection (over all ε > 0) of the spaces Lpε (Rd ) of functions such that ∫ Rd... LA - eng M2 - 10277 PB - Elsevier TI - The heat flow in an optimal Fréchet space of unbounded initial data in Rd TY - journal article VL - 269 ER -