A general framework using Newton-Kantorovich with explicit contraction bounds and an approximate inverse proves existence of localized and periodic solutions in the 1D Thomas model, handling its non-polynomial nonlinearity via computer-assisted analysis.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Proving the existence of localized patterns, periodic solutions, and branches of periodic solutions in the 1D Thomas model
A general framework using Newton-Kantorovich with explicit contraction bounds and an approximate inverse proves existence of localized and periodic solutions in the 1D Thomas model, handling its non-polynomial nonlinearity via computer-assisted analysis.