A fundamental theorem is proved for tropical PDEs over valued fields, with the corollary that radii of convergence for ODE solutions can be computed tropically.
Tropical geometry over the tropi cal hyperfield
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The Fundamental theorem of tropical differential algebra over nontrivially valued fields and the radius of convergence of nonarchimedean differential equations
A fundamental theorem is proved for tropical PDEs over valued fields, with the corollary that radii of convergence for ODE solutions can be computed tropically.