9 citations · 11 across the 5 of their papers we have counts for
5 papers
On complex-valued 2D eikonals. Part four: continuation past a caustic
Rolando Magnanini, Giorgio Talenti
Theories of monochromatic high-frequency electromagnetic fields have been designed by Felsen, Kravtsov, Ludwig and others with a view to portraying features that are ignored by geo…
Critical points of solutions of degenerate elliptic equations in the plane
Simone Cecchini, Rolando Magnanini
We study the minimizer u of a convex functional in the plane which is not Gâteaux-differentiable. Namely, we show that the set of critical points of any C^1-smooth minimizer can no…
Stationary isothermic surfaces and some characterizations of the hyperplane in the N-dimensional Euclidean space
Rolando Magnanini, Shigeru Sakaguchi
We consider an entire graph S of a continuous real function over (N-1)-dimensional Euclidean space with N larger than or equal to 3. Let D be a domain in N-dimensional Euclidean sp…
A radiation condition for uniqueness in a wave propagation problem for 2-D open waveguides
Giulio Ciraolo, Rolando Magnanini
We study the uniqueness of solutions of Helmholtz equation for a problem that concerns wave propagation in waveguides. The classical radiation condition does not apply to our probl…
Analytical results for 2-D non-rectilinear waveguides based on the Green's function
Giulio Ciraolo, Rolando Magnanini
We consider the problem of wave propagation for a 2-D rectilinear optical waveguide which presents some perturbation. We construct a mathematical framework to study such a problem…