We study the influence of a multiplicative Gaussian noise, white in time and correlated in space, on the blow-up phenomenon in the supercritical nonlinear Schrödinger equation. We prove that any sufficiently regular and localized deterministic initial data gives rise to a solution which blows up in arbitrarily small time with a positive probability.

A change of variables is introduced to reduce certain nonlinear stochastic evolution equations with multiplicative noise to the corresponding deterministic equation. The result is then used to investigate a stochastic porous medium equation.

Reconfigurable intelligent surface (RIS) has been widely recognized as a promising technique for future wireless communications. Benefiting from its ability to improve channel capacity with low cost and power consumption, the concept of RIS-aided cell-free network is proposed break bottleneck current architecture. However, multiplicative fading effect (MFE) introduced by RIS prevents higher cap...

To address the situation where incomplete hesitant fuzzy preference relation (IHFPR) is necessary, this paper develops decision-making models taking into account decision makers’ satisfaction degree. First, consistency measures, respectively, from perspectives of additive and multiplicative consistent IHFPR are defined, which based on relationships IHPFRs their corresponding priority weight vec...