Le Matematiche (Dipartimento di Matematica e Informatica, Università degli Studi di Catania)
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n-BLOCKS COLLECTIONS ON FANO MANIFOLDS AND SHEAVES WITH REGULARITY −∞
Get PDFLet X be a smooth Fano manifold equipped with a “ nice ” n-blocks collection in the sense of [3] and F a coherent sheaf on X . Assume that X is Fano and that all blocks are coherent sheaves. Here we prove that F has regularity −∞ in the sense of [3] if Supp(F) is finite, the converse being true under mild assumptions. The corresponding result is also true when X has a geometric collection in the sense of [2].Let X be a smooth Fano manifold equipped with a “ nice ” n-blockscollection in the sense of [3] and F a coherent sheaf on X. Assume that X is Fano and that all blocks are coherent sheaves. Here we prove that F has regularity −∞ in the sense of [3] if Supp(F) is finite, the converse being true under mild assumptions. The corresponding result is also true when X has a geometric collection in the sense of [2]
PARABOLIC TRANSMISSION PROBLEMS ACROSS IRREGULAR LAYERS
Get PDFWe study second order transmission problems across either a fractal surface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated.We study second order transmission problems across either a fractalsurface or across the corresponding pre-fractal surface. Existence uniqueness and regularity results for the strict solution in both cases are proved.The asymptotic behaviour of the solutions of the approximating problems is also investigated
AN ANALYSIS OF TWO DIMENSIONAL INTEGRAL EQUATIONS OF THE SECOND KIND
Get PDFIn this article, a numerical method is used to solve the two dimensionalFredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each case, is computed.In this article, A numerical method is used to solve the two dimensionalFredholm integral equation of the second kind with weak singular kernel using the Toeplitz matrix and product Nystrom method. The numerical results given in this paper are computed using maple 8. The error, in each case, is computed
ON REDUCIBILITY OF LINEAR DIFFERENCE SYSTEMS
Get PDFWe study problems related to the existence of a nondegenerate substitution(of the Lyapunov type) that reduces a system of linear difference equationsto a system with constant coefficients.We study problems related to the existence of a nondegenerate substitution (of the Lyapunov type) that reduces a system of linear difference equations to a system with constant coefficients
CHARACTERIZATION OF THE ABSOLUTE SUMMING OPERATORS IN A BANACH SPACE USING µ-APPROXIMATE l1 SEQUENCES
Get PDFCorrigendum of Lemma 3 (Le Matematiche vol. 60 Fasc. 1, 2005, pp. 121-128)CORRIGENDUM TO CHARACTERIZATION OF THE ABSOLUTE SUMMING OPERATORS IN A BANACH SPACE USING µ-APPROXIMATE l1 SEQUENCESLe Matematiche Vol. LX (2005 - Fasc. I, pp. 121-128
IN MEMORY OF GAETANO FICHERA
Get PDFSono raccolte in questo Volume alcune delle conferenze svolte durante il 3^o Simposio Internazionale Problemi Attuali dell’Analisi e della Fisica Matematica, dedicato alla memoria di Gaetano Fichera, che si è svolto a Taormina dal 29 Giugno al 1 Luglio, 2006. Hanno partecipato al Simposio più di cinquanta studiosi italiani e stranieri (cfr. Elenco dei Partecipanti). Sono state svolte trentasette relazioni.Sono raccolte in questo Volume alcune delle conferenze svolte durante il3o Simposio Internazionale Problemi Attuali dell’Analisi e della Fisica Matematica, dedicato alla memoria di Gaetano Fichera, che si è svolto a Taormina dal 29 Giugno al 1 Luglio, 2006. Hanno partecipato al Simposio più di cinquanta studiosi italiani e stranieri (cfr. Elenco dei Partecipanti). Sono state svolte trentasette relazioni
APPROXIMATE APPROXIMATIONS ON NONUNIFORM GRIDS
Get PDFWe present an extension of approximate quasi-interpolation on uniformly distributed nodes, to functions given on a set of nodes close to an uniform, not necessarily cubic, grid.We present an extension of approximate quasi-interpolation on uniformly distributed nodes, to functions given on a set of nodes close to an uniform, not necessarily cubic, grid
Nonlinear elliptic equations and Gauss measure
Get PDFWe prove existence and regularity results for weak solutions to nonlinear elliptic equations
A DECOMPOSITION THEOREM FOR σ -P-DIRECTIONALLY POROUS SETS IN FRÉCHET SPACES
No full textIn this paper we study suitable notions of porosity and directional porosity in Fréchet spaces. Moreover we give a decomposition theorem for σ-P-directionally porous sets.In this paper we study suitable notions of porosity and directionalporosity in Fréchet spaces. Moreover we give a decomposition theorem for σ -P-directionally porous sets
ANALOGUE OF DINI-RIEMANN THEOREM FOR NON-ABSOLUTELY CONVERGENT INTEGRALS
Get PDFAn analogue of classical Dini-Riemann theorem related to non-absolutelyconvergent series of real number is proved for the Lebesgue improper integral.An analogue of classical Dini-Riemann theorem related to non-absolutely convergent series of real number is proved for the Lebesgue improper integral