DSpace Collection: http://www.openstarts.units.it:80/dspace/handle/10077/4127 2013-05-22T02:20:25Z 2013-05-22T02:20:25Z On some Semilinear Periodic Parabolic Problems Godoy, Tomas Kaufmann, Uriel http://www.openstarts.units.it:80/dspace/handle/10077/4138 2011-05-03T07:35:01Z 2006-01-01T00:00:00Z Title: On some Semilinear Periodic Parabolic Problems Authors: Godoy, Tomas; Kaufmann, Uriel Abstract: Let $\Omega \subset \mathbb R^N$ a smooth bounded domain. We study existence and nonexistence of positive solutions for some semilinear Dirichlet periodic parabolic problems of the form $Lu = h(x,t,u)$ in $\Omega\times \mathbb R$ for a class of Caratheodory functions $h : \Omega\times \mathbb R \times [0,\infty) \rightarrow \mathbbR$ such that h (., 0) = 0 and $\lim_{\xi\rightarrow 0^+}\xi^{ −1}h (.,\xi) = 0$ or $-\infty$. All results remain true for the corresponding elliptic problems. Type: Articolo 2006-01-01T00:00:00Z A Note on Gevrey Well-Posedness for the Operator $\partial^2_t - a(t)\partial _x(b(t,x)\partial_x)$ Del Santo, Daniele http://www.openstarts.units.it:80/dspace/handle/10077/4137 2011-03-16T00:35:14Z 2006-01-01T00:00:00Z Title: A Note on Gevrey Well-Posedness for the Operator $\partial^2_t - a(t)\partial _x(b(t,x)\partial_x)$ Authors: Del Santo, Daniele Abstract: We use a Littlewood-Paley decomposition to obtain a Gevrey-well-posedness result for a weakly hyperbolic equation in one space variable with coefficients depending also on x. Type: Articolo 2006-01-01T00:00:00Z Algebraic Aspects of Commutation of Linear Operators up to a Factor Bellonotto, B. Teppati, Giancarlo http://www.openstarts.units.it:80/dspace/handle/10077/4136 2011-03-16T00:35:13Z 2006-01-01T00:00:00Z Title: Algebraic Aspects of Commutation of Linear Operators up to a Factor Authors: Bellonotto, B.; Teppati, Giancarlo Abstract: When representing projective geometry by means of a vector space, commutativity can be replaced by commutativity up to a factor. This feature was investigated by F. Cecioni under very weak assumptions, but it is hard to generalize the methods of [4] to a wider algebraic context. In this note, we develop the independent treatment of H. Weyl, and extend the approach of to non-commutative rings under suitable assumptions on the endomorphisms. From this point of view, we show that commutativity of operators up to a non-trivial factor is an exceptional phenomenon in comparison to strict commutativity. Type: Articolo 2006-01-01T00:00:00Z Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems Zimmermann, Bruno P. http://www.openstarts.units.it:80/dspace/handle/10077/4135 2011-03-16T00:35:12Z 2006-01-01T00:00:00Z Title: Hyperbolic Knots and Links with a Common Cyclic Branched Covering: Known Results and Open Problems Authors: Zimmermann, Bruno P. Abstract: We give a survey on recent progress and remaining open problems on the number and the geometry of knots and links which have a hyperbolic 3-manifold M as a common cyclic branched covering. This is strongly related to the algebra and the geometry of the finite isometry group G of M, and it naturally divides into the two cases G solvable and G non-solvable. The solvable case is relatively well understood whereas the non- solvable case remains somewhat mysterious. Type: Articolo 2006-01-01T00:00:00Z