TY - JOUR AU - M. V. Krasnoshchok PY - 2013/04/25 Y2 - 2024/03/29 TI - Evolution free-boundary problem for a stationary system of the theory of elasticity JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 65 IS - 4 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2434 AB - We consider an evolution free-boundary problem for a stationary linear system of the theory of elasticity that arises in theinvestigation of solid thin films in microelectronic devices. We prove its solvability on an arbitrary time interval under thecondition that the initial data are sufficiently close to the stationary solution. ER -