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This is a Quantitative Study study.

October 13, 2025Open Access

Weak Existence and Uniqueness for Super-Brownian Motion with Irregular Drift

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Authors

LMLeonid MytnikTechnion – Israel Institute of Technology JWJohanna Weinberger

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Implication

This paper demonstrates weak existence and uniqueness for random field solutions of SPDEs with bounded drift, suggesting new avenues in stochastic analysis.

Key Points

Weak existence and uniqueness are established for the one-dimensional SPDE concerning super-brownian motion.
The proof utilizes an extension of the duality relation, focusing on admissible drifts that are irregular or discontinuous.
Incorporating functions that are non-Lipschitz allows for broader applications in stochastic partial differential equations.
These results enhance theoretical understanding of stochastic processes governed by irregular drift functions.

Cite This Study

Mytnik et al. (2025) studied this question.

synapsesocial.com/papers/68ecfebf950606aabec0930a https://doi.org/10.48550/arxiv.2509.10984

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Implication

This paper demonstrates weak existence and uniqueness for random field solutions of SPDEs with bounded drift, suggesting new avenues in stochastic analysis.

Weak Existence and Uniqueness for Super-Brownian Motion with Irregular Drift

Discussion

Member takes

Implication

Key Points

Cite This Study

Weak Existence and Uniqueness for Super-Brownian Motion with Irregular Drift

Discussion

Member takes

Implication

Key Points

Cite This Study

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