论文标题
准线性单数SPDE的规则性结构
Regularity structures for quasilinear singular SPDEs
论文作者
论文摘要
我们证明了准则通用（KPZ）方程的规律性结构公式的良好特征，并在完整的亚临界状态下为重生方程式提供了明确的形式。假设与非翻译不变算子相关的BPHZ模型会收敛，我们获得了正则化重量化方程的溶液的收敛结果。该条件结果涵盖了时空白噪声案例。
We prove the well-posed character of a regularity structure formulation of the quasilinear generalized (KPZ) equation and give an explicit form for a renormalized equation in the full subcritical regime. Under the assumption that the BPHZ models associated with a non-translation invariant operator converge, we obtain a convergence result for the solutions of the regularized renormalized equations. This conditional result covers the spacetime white noise case.
