Work

Boundedness of Solutions to Nonlocal Systems

Year: 2026

Type: preprint

Abstract: Under mild mass or energy assumptions, we prove uniform $L^\infty$ 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.02810

Authors: Dipierro, Serena, da Silva, João Gonçalves, Poggesi, Giorgio, Valdinoci, Enrico

Institutions: The University of Western Australia, Adelaide University, The University of Adelaide

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Australian Mathematical Society, Division of Mathematical Sciences

Awards: G1287761106, G2199393123

OpenAlex ID: W7220438709

Cites: 6

Cited by:

Related to: 10