Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs

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Global Bifurcation Diagrams of Steady States of Systems of PDEs via Rigorous Numerics: a 3-Component Reaction-Diffusion System (2013, background): “[15]), but not for the case q ∈ (1, 2).”
Computation of maximal local (un)stable manifold patches by the parameterization method (2015, background): “It is also worth mentioning that in the context of computing equilibria of PDEs in [54, 56, 57] and periodic orbits of delay differential equations in [58], the bounds of the radii polynomials have been derived for general polynomial problems.”