Convergence of functionals and its applications to parabolic equations.
Convergence of the 'relativistic' heat equation to the heat equation as c → ∞.
We prove that the entropy solutions of the so-called relativistic heat equation converge to solutions of the heat equation as the speed of light c tends to ∞ for any initial condition u0 ≥ 0 in L1(RN) ∩ L∞(RN).
Co-volume methods for degenerate parabolic problems.
Critère d'existence de solutions positives pour des équations semi-linéaires non monotones
Critical global asymptotics in higher-order semilinear parabolic equations.