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    Hölder regularity in variational parabolic non-homogeneous equations

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    AbstractWe prove optimal Hölder regularity results for the solutions to second order variational parabolic equations with Hölder continuous coefficients and non-homogeneous boundary data, using analytic semigroups methods

    On Some Equations About European Option Pricing

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    Proceedings of the 18th IFIP Conference on Systems Modeling and Optimization, (Detroit, MI, 1997) Addison Wesley Longman, Research notes in Mathematics

    Analytic semigroups generated by square Hörmander operators

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    We show that degenerate elliptic operators of Hórmander type realized in RnR^n generate analytic semigroups in proper Sobolev spaces and we characterize some real interpolation spaces related to the original problem

    HOLDER ESTIMATES FOR LOCAL SOLUTIONS OF SOME DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS

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    We prove interior and boundary Holder continuity for bounded weak soluttions of a class of quasilinear parabolic equations whose prototype is ut = div(|u|m - 1 |Du|p - 2Du). © 1993 Academic Press. All rights reserved

    Hölder classes relative to degenerate elliptic operators as interpolation spaces

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    The well known characterization ofHölder classes as interpolation spaces is here extended under suitable hypotheses to a class of spaces wherethe Hölder continuity is given in terms of an intrinsic distance relative to degenerate elliptic operators of Hörmander type.<br /
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