Work

A semigroup approach for rough partial differential equations with jumps

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.37401

Authors: Neamţu, Alexandra Blessing, Gao, Hongjun, Li, Haoyuan

Institutions: University of Konstanz, Southeast University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, China Scholarship Council

Awards: G2416750410, G5709080070, G7650316851

OpenAlex ID: W7224084196

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