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A semigroup approach for rough partial differential equations with jumps
Abstract
We establish an infinite-dimensional sewing lemma for discontinuous paths on a scale of Banach spaces. This allows us to construct Young and rough convolutions with jumps. Based on this we analyze the local and global well-posedness of semilinear parabolic rough partial differential equations (PDEs) with jumps in mixed space-time regularity spaces.
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BibTeX
@misc{neamţu2026semigroup,
title = {{A semigroup approach for rough partial differential equations with jumps}},
author = {Alexandra Blessing Neamţu and Hongjun Gao and Haoyuan Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37401},
eprint = {2610.37401},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37401},
}
RIS
TY - UNPB
TI - A semigroup approach for rough partial differential equations with jumps
AU - Alexandra Blessing Neamţu
AU - Hongjun Gao
AU - Haoyuan Li
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37401
UR - https://arxiv.org/abs/2610.37401
AB - We establish an infinite-dimensional sewing lemma for discontinuous paths on a scale of Banach spaces. This allows us to construct Young and rough convolutions with jumps. Based on this we analyze the local and global well-posedness of semilinear parabolic rough partial differential equations (PDEs) with jumps in mixed space-time regularity spaces.
ER -