Year: 2026
Type: article
Abstract: We demonstrate inflation of Fourier–Lebesgue norms for solutions to the focusing modified Korteweg–de Vries equation posed on the real line. For $$p\ne 2$$ p ≠ 2 and all $$s\in \mathbb {R}$$ s ∈ R , we construct a sequence of solutions $$u_n$$ u n whose initial data $$u_n(0)$$ u n ( 0 ) converges to zero in the Fourier–Lebesgue spaces $$\mathcal {F}L^p_s(\mathbb {R})$$ F L s p ( R ) , but whose evolutions at later times $$t_n$$ t n diverge to infinity.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4416665791