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Hölder regularity in variational parabolic non-homogeneous equations
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
Generation of strongly continuous semigroups by elliptic operators with unbounded coefficients in Lp(Rn)
On Some Equations About European Option Pricing
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
We show that degenerate elliptic operators of Hórmander type realized in generate analytic semigroups in proper Sobolev spaces and we characterize some real interpolation spaces related to the original problem
Generation of smoothing semigroups by degenerate elliptic operators arising in financial mathematics
HOLDER ESTIMATES FOR LOCAL SOLUTIONS OF SOME DOUBLY NONLINEAR DEGENERATE PARABOLIC EQUATIONS
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
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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