Space-Time Discrete KPZ Equation
作者： G. Cannizzaro , K. Matetski
DOI: 10.1007/S00220-018-3089-9
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摘要: We study a general family of space–time discretizations the KPZ equation and show that they converge to its solution. The approach we follow makes use basic elements theory regularity structures (Hairer in Invent Math 198(2):269–504, 2014) as well discrete counterpart Matetski Discretizations rough stochastic PDEs, 2015. arXiv:1511.06937). Since discretization is both space time allow non-standard for product, methods mentioned above have be suitably modified order accommodate structure models under study.
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