Showing math.APShow all
2 papers · 1 filter
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
Shock wavefronts for parabolic equations with sign-changing diffusivity
Diego Berti, Andrea Corli, Luisa Malaguti
We consider a reaction-diffusion equation in a one-dimensional space, where the diffusion coefficient changes sign from positive to negative and back to positive. The reaction term…