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6 papers · 2 filters
Carleman estimate for second order elliptic equations with Lipschitz leading coefficients and jumps at an interface
M. Di Cristo, E. Francini, C. -L. Lin +2
In this paper we prove a local Carleman estimate for second order elliptic equations with a general anisotropic Lipschitz coefficients having a jump at an interface. Our approach d…
Stability for Quantitative Photoacoustic Tomography with well chosen illuminations
Giovanni Alessandrini, Michele Di Cristo, Elisa Francini +1
We treat the stability issue for the three dimensional inverse imaging modality called Quantitative Photoacoustic Tomography. We provide universal choices of the illuminations whic…
Stability analysis of abstract systems of Timoshenko type
Valeria Danese, Filippo Dell'Oro, Vittorino Pata
We consider an abstract system of Timoshenko type $$ \begin{cases} ρ_1{\ddot φ} + a A^{\frac12}(A^{\frac12}φ+ ψ) =0\\ ρ_2{\ddot ψ} + b A ψ+ a (A^{\frac12}φ+ ψ) - δA^γθ = 0\\ ρ_3{\d…
Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
Carlos Escudero, Filippo Gazzola, Ireneo Peral
We consider a partial differential equation that arises in the coarse-grained description of epitaxial growth processes. This is a parabolic equation whose evolution is governed by…
Nonexistence of solutions to parabolic differential inequalities with a potential on Riemannian manifolds
P. Mastrolia, D. D. Monticelli, F. Punzo
We are concerned with nonexistence results of nonnegative weak solutions for a class of quasilinear parabolic problems with a potential on complete noncompact Riemannian manifolds.…
On a nonlinear nonlocal hyperbolic system modeling suspension bridges
Gianni Arioli, Filippo Gazzola
We suggest a new model for the dynamics of a suspension bridge through a system of nonlinear nonlocal hyperbolic differential equations. The equations are of second and fourth orde…