Stochastic lattice gases with degenerate rates, namely conservative particle systems where the exchange rates vanish for some configurations, have been introduced as simplified models for glassy dynamics. We introduce two particular models and consider them in a finite volume of size l in contact with particle reservoirs at the boundary. We prove that, as for non–degenerate rates, the inverse o...

Based on the theoretical framework of Black–Scholes model, convergence inverse volatility problem based degenerate parabolic equation is studied. Being different from other problems in classical equations, we introduce some variable substitutions to convert original into an principal coefficient a bounded area, which unknown can be recovered and deficiencies caused by artificial truncation solv...