PreprintarXiv licencearXiv
Boundedness of Solutions to Nonlocal Systems
Abstract
Under mild mass or energy assumptions, we prove uniform L∞ bounds for all distributional solutions of a multi-dimensional system of nonlocal semilinear equations. The setting comprises Ginzburg-Landau systems and Allen-Cahn equations, and the results obtained are new even for scalar equations.
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BibTeX
@misc{dipierro2026boundedness,
title = {{Boundedness of Solutions to Nonlocal Systems}},
author = {Serena Dipierro and João Gonçalves da Silva and Giorgio Poggesi and Enrico Valdinoci},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.02810},
eprint = {2610.02810},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.02810},
}
RIS
TY - UNPB
TI - Boundedness of Solutions to Nonlocal Systems
AU - Serena Dipierro
AU - João Gonçalves da Silva
AU - Giorgio Poggesi
AU - Enrico Valdinoci
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.02810
UR - https://arxiv.org/abs/2610.02810
AB - Under mild mass or energy assumptions, we prove uniform L^∞ bounds for all distributional solutions of a multi-dimensional system of nonlocal semilinear equations. The setting comprises Ginzburg-Landau systems and Allen-Cahn equations, and the results obtained are new even for scalar equations.
ER -