On a continuous analog of the parabolic Anderson model

• Date: 2026
• Main Authors: Kondratiev, Yu., Pastur, L.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8539
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.21; 517.9 We consider a stochastic equation in $\mathbb{R}^{d},$ whose nonlocal part is a convolution operator with nonnegative symbol and the local part is an operator of multiplication by an ergodic field in $\mathbb{R}^{d}.$ We present the upper and lower bounds for its solutions correspo...