175,851 research outputs found

    Uniqueness for second-order parabolic equations with discontinuous coefficients

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    The authors show the uniqueness of the ``good solution'' to the Cauchy-Dirichlet problem for linear non-variational parabolic equations with the coefficients of the principal part with discontinuities, in cases in which in general uniqueness of strong solutions in Sobolev spaces does not hold. The notion of the ``good solution'' to the elliptic equations was introduced by the first author in [M. C. Cerutti, L. Escauriaza and E. B. Fabes, Ann. Mat. Pura Appl. (4) 163 (1993), 161--18

    Two phase problems for linear elliptic operators with variable coefficients: Lipschitz free boundaries are C^{1,gamma}

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    We prove C^{1,gamma}, regularity of Lipschitz free boundaries of two-phase problems for linear elliptic operators with Hölder continuous coefficients

    EFFECTS OF ADHESIVE RESTORATION ON CUSPAL DEFLECTION IN ENDODONTICALLY TREATED PREMOLARS

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    Objective: The purpose of this study was to determine, by means of a non-destructive experimental procedure, the extent to which tooth cusps are weakened by endodontic procedures and the effectiveness of adhesive bonding restoration in reducing cuspal deflection as function of different restorative procedures. Methods: A mechanically controlled loading device induced cuspal deflection by axial force (range 98 – 294 Newton) on an occlusal surface while sophisticated Laser LTS twin sensor registered the amount of deflection. Cusps deflection values, in microns, were recorded for each tooth (Cerutti et al., IADR-Washington 2000). Thirty sound maxillary premolars teeth were sequentially evaluated in the following conditions: A) intact tooth; B) completion of restorative (cavity MOD preparation:depth 4 mm and width of a half of intercuspal distance) and endodontic procedures. Teeth were randomly divided in five groups (n = 5) and restored respectively with: 1) Amalgam (Dispersalloy); 2) Spectrum TPH; 3) Surefil; 4) Esthet-X; 5) Esthet-X + Dyract flow. The cavity margins were etched with H3PO4– 36%; P&B NT bonding system was used. Results: We evaluated in intact teeth (range 49,52-58,76 N/μm) and in restored teeth (range 8,56-47,05 N/μm) for all groups: A) amount of cusps deflection B) average loading force needed to induce 1 μm andi C) mean structural recovery. Statistical analysis (Anova for repeated measures) has been performed. Mean structural recovery values after restorative treatment were for restored teeth: 17% amalgam, 60% in Spectrum TPH, 59% in SureFil, 54% in Esthet-X, and 99% in Esthet-X/Dyract flow. Conclusions: Bonded composite restorations are effective in reducing cuspal deflection after treatment and in recovering tooth stiffness in endodontically treated premolars

    Advanced Methods of Biomedical Signal Processing

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    This book grew out of the IEEE-EMBS Summer Schools on Biomedical Signal Processing, which have been held annually since 2002 to provide the participants state-of-the-art knowledge on emerging areas in biomedical engineering. Prominent experts in the areas of biomedical signal processing, biomedical data treatment, medicine, signal processing, system biology, and applied physiology introduce novel techniques and algorithms as well as their clinical or physiological applications. The book provides an overview of a compelling group of advanced biomedical signal processing techniques, such as mul
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