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A flow approach to the generalized KPZ equation

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arxiv 2402.03101 v5 pith:NVZBNAGE submitted 2024-02-05 math.PR math.AP

Ajay Chandra , Léonard Ferdinand This is my paper
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We show that the flow approach of Duch [Duc21] can be adapted to prove local well-posedness for the generalized Kardar-Parisi-Zhang equation. The key step is to extend the flow approach so that it can accommodate semi-linear equations involving smooth, non-polynomial, functions of the solution - this is accomplished by introducing coordinates for the flow built out of elementary differentials.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalised Models for Variable Coefficient Singular SPDEs

    math.AP 2025-07 conditional novelty 7.0 of 10

    The paper proves convergence of renormalised models in regularity structures for variable coefficient singular SPDEs across full subcritical regimes, with renormalisation functions depending only on a finite jet of th...

  2. Lecture notes on the flow equation approach to singular stochastic PDEs

    math.PR 2025-11 conditional novelty 4.0 of 10

    A scale-by-scale flow equation with suitably chosen counterterms constructs renormalized solutions of fractional elliptic Phi^4 SPDEs throughout the subcritical regime.

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