Teorema di Nash-Moser ed equazioni iperboliche non lineari
The critical case for a semilinear weakly hyperbolic equation.
The relation between the porous medium and the eikonal equations in several space dimensions.
We study the relation between the porous medium equation ut = Δ(um), m > 1, and the eikonal equation vt = |Dv|2. Under quite general assumtions, we prove that the pressure and the interface of the solution of the Cauchy problem for the porous medium equation converge as m↓1 to the viscosity solution and the interface of the Cauchy problem for the eikonal equation. We also address the same questions for the case of the Dirichlet boundary value problem.
The simplified Wheeler-Dewitt equation : the Cauchy problem and some spectral properties
Time discretization of nonlinear Cauchy problems applying to mixed hyperbolic-parabolic equations.
To the theory of boundary value problems for hyperbolic type equations and systems.