Regularity structures for quasilinear singular SPDEs

Abstract

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.

v3, 63 pages. Revised version of the work

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Cited by in corpus (1)

• Locality for singular stochastic PDEs