Preprint
Oct 2026
Boundedness of Solutions to Nonlocal Systems
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.
S. Dipierro, J. G. da Silva, Giorgio Poggesi et al.
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