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Quantitative maximal L2$L^2$‐regularity for viscous Hamilton–Jacobi PDEs in 2D and Mean Field Games

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 11, November 2026.
Abstract We discuss quantitative Calderón–Zygmund estimates in W2,2$W^{2,2}$ for 2D viscous Hamilton–Jacobi equations with natural growth in the gradient. We apply the result to obtain the existence of classical solutions for stationary second‐order mean field games systems in 2D with (defocusing) coupling behaving like mα$m^\alpha$ for any α>0$\alpha >
Alessandro Goffi
wiley   +1 more source

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