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- Istituto Nazionale di Fisica Nucleare, Sezione di FirenzeIT96 papers
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10 papers · 1 filter
A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance
V. Bacchelli, M. Di Cristo, E. Sincich +1
We consider the problem of determining an unaccessible part of the boundary of a conductor by mean of thermal measurements. We study a problem of corrosion where a Robin type condi…
Interaction between nonlinear diffusion and geometry of domain
Rolando Magnanini, Shigeru Sakaguchi
Let be a domain in , where and is not necessarily bounded. We consider nonlinear diffusion equations of the form . Let $…
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…
Regularity and blow-up in a surface growth model
Dirk Blomker, Marco Romito
The paper contains several regularity results and blow-up criterions for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a sc…
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…