RT Journal T1 SOME RECENT PROGRESS ON STOCHASTIC HEAT EQUATIONS A1 Yaozhong HU PB Acta mathematica scientia,Series B FD 2019-06-25 YR 2019 JF Acta mathematica scientia, Series B JO Acta mathematica scientia,Series B VO 39 IS 3 SP 874 DO 10.1007/s10473-019-0315-2 K1 Gaussian random field;Gaussian noise;stochastic partial differential equation (stochastic heat equation);Feynman-Kac formula for the solution;Feynman-Kac formula for the moments of the solution;chaos expansion;hypercontractivity;moment bounds;Hölder continuity;joint Hölder continuity;asymptotic behaviour;Trotter-Lie formula;Skorohod integral LK {http://121.43.60.238/sxwlxbB/EN/article/article_15897.shtml}