IS12: Superlinear Stochastic Partial Differential Equations

Organizer: Mickey Salins (Boston University)

Stochastic reaction diffusion equations with superlinear coefficients

Tusheng Zhang

In this talk, we consider the stochastic reaction-diffusion equation with logarithmic nonlinearity driven by multiplicative noise. Well-posedness will be discussed both in the settling of finite interval and the whole space. Lower order moment estimates of stochastic convolution play an important role.