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.
Pow er series solutions for non-linear PDE’s, Pro- ceedings of the 2003 international symposium on Symbolic an d algebraic computation
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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.