1,721,003 research outputs found

    Regolarità delle soluzioni viscose per equazioni a derivate parziali non lineari degeneri

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    Scopo di questa ricerca è lo studio delle proprietà di regolarità delle soluzioni viscose di equazioni a derivate parziali non lineari degeneri

    Fourier TransformEncyclopedia of Thermal Stresses

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    The Fourier transform is a key tool in several research fields: engineering, mathematics, applied mathematics, and physical science. We approach to this instrument assuming that the mathematical background of the readers might be various. Hence, the subject has been developed progressively. In particular in the first vintroductory part, the main relationship with the Fourier series has been put in evidence. Successively a rigorous mathematical discussion permits to deal with the subject in different functional spaces even arriving to the distributional framework. Some examples and applications are vintroduced and developed in the detail. In order to give the larger spectrum concerning the Fourier transform applications, even some topics like the discrete Fourier transform and the Shannon theorem are discussed

    ON THE ∞-LAPLACIAN ON CARNOT GROUPS

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    We prove Lipschitz estimates for viscosity solutions to Poisson problem for the infinity Laplacian in general Carnot groups

    On two phase free boundary problems governed by elliptic equations with distributed sources

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    We present some recent progress on the analysis of two-phase free boundary problems governed by elliptic operators, with non-zero right hand side. We also discuss on several open questions, object of future investigations

    Two-phase problems with distributed sources: regularity of the free boundary

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    We investigate the regularity of the free boundary for a general class of two-phase free boundary problems with nonzero right-hand side. We prove that Lipschitz or flat free boundaries are C1,γ. In particular, viscosity solutions are indeed classical
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