TY - JOUR AU - Robinson, James C. AU - Rodríguez Bernal, Aníbal PY - 2022 DO - 10.1007/s10884-022-10195-6 SN - 1040-7294 UR - https://hdl.handle.net/20.500.14352/72681 T2 - Journal of Dynamics and Differential Equations AB - We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treated in our previous papers on the unforced heat equation. When f=0 we characterise those (u0,λ) for which solutions converge to 0 as t→∞, as not every... LA - eng PB - Springer KW - Heat equation KW - Large solutions KW - Blow-up KW - Global solutions KW - Regularity of elliptic problem TI - Linear Non-Autonomous Heat Flow in $$L_0^1({{\mathbb {R}}}^{d})$$ and Applications to Elliptic Equations in $${{\mathbb {R}}}^{d}$$ TY - journal article ER -