3 papers
math.PR2026
Reflected stochastic partial differential equations with fully local monotone coefficients in infinite dimensional domains
Qi Li, Yue Li, Tusheng Zhang
This paper establishes the well-posedness of stochastic partial differential equations with reflection in an infinite-dimensional ball, within the fully local monotone framework. O…
math.AP2025
Blow-up results for a Nakao-type problem with a time-dependent damping term and derivative-type nonlinearities
Yuequn Li, Alessandro Palmieri
In this paper, we consider a semilinear system of damped wave equations coupled through power nonlinearities of derivative-type. In particular, we consider a classical damped wave…
math.AP2025
On the blow-up of solutions to a Nakao-type problem with a time-dependent damping term
Yuequn Li, Alessandro Palmieri
In this paper, we study a semilinear weakly coupled system of wave equations with power nonlinearities. More precisely, we couple (through the nonlinear terms) a wave equation and…