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math.APSep 1, 2021
4
citations (OpenAlex)
authors
  • I. Bailleul
  • Y. Bruned
institutions
  • Institut Élie Cartan de Lorraine
  • Laboratoire de Mathématiques de Bretagne Atlantique
  • Université de Bretagne Occidentale
  • Université de Bretagne Sud
  • Université de Lorraine
arXiv abstractPDF
paper

Locality for singular stochastic PDEs

arXiv:2109.00399

Abstract

This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime dependent renormalization schemes. Our approach bypasses in particular the use of decorated trees with extended decorations.

28 pages. Merged version with arXiv:2101.11949

References in corpus (10)

  • Algebraic deformation for (S)PDEs
  • A priori bounds for rough differential equations with a non-linear damping term
  • Reconstruction Theorem for Germs of Distributions on Smooth Manifolds
  • Renormalised singular stochastic PDEs
  • Regularity Structures on Manifolds and Vector Bundles
  • Regularity structures for quasilinear singular SPDEs
  • A semigroup approach to the reconstruction theorem and the multilevel Schauder estimate
  • Quasi-generalised KPZ equation
  • Parametrization of renormalized models for singular stochastic PDEs
  • Composition and substitution of Regularity Structures B-series

Cited by in corpus (4)

  • Algebraic deformation for (S)PDEs
  • Regularity structures for quasilinear singular SPDEs
  • Singular SPDEs on Homogeneous Lie Groups
  • Random models for singular SPDEs
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