Scientific Reports
The preprint collection of the Department of Mathematics.
Full-text generally not available for preprints prior to may 2006.
Found 866 products
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QDD87 - 02/03/2011
Berchio, E.; Farina, A; Ferrero, A.; Gazzola, F.
Existence and stability of entire solutions to a semilinear fourth order elliptic problem | Abstract | | For a semilinear biharmonic equation with exponential nonlinearity, we study the existence and the asymptotic behavior of entire solutions. Furthermore, their stability and stability outside a compact set of R^n (n>1) is discussed in any space dimension n. |
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QDD86 - 02/02/2011
Berchio, E.; Ferrero, A.; Gazzola, F.; Karageorgis, P.
Qualitative behavior of global solutions to some nonlinear fourth order differential equations | Abstract | | We study global solutions to a fourth order semilinear ordinary differential equation. We determine sufficient conditions on the nonlinearity that ensure global continuation of the solutions. Furthermore, we discuss their qualitative behaviors such as oscillations and boundedness. |
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QDD85 - 02/01/2011
Biscari, P.; Minisini, S.; Pierotti, D.; Verzini, G.; Zunino, P.
Analysis of an evolution problem for controlled drug release | Abstract | | We consider a reaction-diffusion system arising from a model of controlled drug release.
We derive a single nonlinear evolution equation,
which is proved to be uniquely solvable in the classical sense and equivalent to the original system of two coupled PDE’s.
We discuss numerical approximation techniques which have been applied to obtain numerical simulations of the solutions. |
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QDD84 - 01/28/2011
Bramanti, M.; Zhu, M.
Local real analysis in locally homogeneous spaces | Abstract | | We introduce the concept of locally homogeneous space, and prove in this context L^p and Holder estimates for singular and fractional integrals, as well as L^p estimates on the commutator of a singular or fractional integral with a BMO or VMO function. These results are motivated by local a-priori estimates for subelliptic equations. |
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QDD83 - 12/20/2010
Carriero, M.; Leaci, A.; Tomarelli, F.
Free Gradient Discontinuity and Image Painting | Abstract | | We introduce and study a formulation of inpainting problem for 2-dimensional images which are locally damaged. This formulation is based on the regularization of the solution of a second order variational problem with Dirichlet boundary condition. A variational approximation algorithm is proposed. |
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QDD82 - 11/30/2010
Carriero, M.; Leaci A.; Tomarelli F.
About Poincaré inequalities for functions lacking summability | Abstract | | We present in a unified context several Poincaré type inequalities involving median: the list includes also inequalities which hold true for functions lacking summability properties. |
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QDD75 - 11/20/2010
Bramanti, M.; Miranda, M., Pallara, D.
Some properties of BV functions on Carnot groups related to the heat semigroup | Abstract | | In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces, in terms of the short-time behaviour of the heat semigroup. The second one holds under the hypothesis that the reduced boundary of a set of finite perimeter is rectifiable, a result that presently is known in Step 2 Carnot groups. |
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QDD76 - 11/20/2010
Conti, M.; Marchini, E.M.
Wave equations with memory: the minimal state approach | Abstract | | Recently, a new theoretical scheme has been developed in order to study equations with memory,
the so-called minimal state approach.
The aim of this work is to provide the technical body needed to study the asymptotic behavior of
semilinear integrodifferential equations of hyperbolic type in the novel framework. |
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