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math.AP2026
Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values
Diego Berti, Rolando Magnanini, Michele Marini
We consider a Cauchy-Dirichlet problem for a heat equation with variable coefficients in non-divergence form. The initial values are assumed to be homogeneous, while the Dirichlet…
math.AP2026
Critical points of solutions of elliptic equations in divergence form in planar non simply connected domains with smooth or nonsmooth boundary
Rolando Magnanini, Serge Nicaise, Madeline Chauvier
We study the critical points of the solution of second elliptic equations in divergence and diagonal form with a bounded and positive definite coefficient, under the assumption tha…