@article{Konarovskyi_2020, title={Sticky-reflected stochastic heat equation driven by colored noise}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6282}, DOI={10.37863/umzh.v72i9.6282}, abstractNote={<p>UDC 519.21</p> <p>We prove the existence of a sticky-reflected solution to the heat equation on the spatial interval $[0,1]$ driven by colored noise. <br>The process can be interpreted as an infinite-dimensional analog of the sticky-reflected Brownian motion on the real line, but now the solution obeys the usual stochastic heat equation except for points where it reaches zero. <br>The solution has no noise at zero and a drift pushes it to stay positive. <br>The proof is based on a new approach that can also be applied to other types of SPDEs with discontinuous coefficients.</p>}, number={9}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={KonarovskyiV.}, year={2020}, month={Sep.}, pages={1195-1231} }