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Sufficient conditions for optimality for differential inclusions of parabolic type and duality
Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally...
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Convexity theory for the term structure equation
We study the convexity and model parameter monotonicity properties for prices of bonds and bond options when the short rate is modeled by a...
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Stefan-like problems with curvature
We study a two-phase free boundary problem in which the speed of the free boundary depends also on its curvature. It is assumed that the free...
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Reciprocal Diffusions and Symmetries of Parabolic PDE: The Nonflat Case
We introduce a new set of Reciprocal Characteristics for the class of reciprocal diffusions naturally associated to a general parabolic second-order...
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On an area-preserving crystalline motion
The asymptotic behavior of solutions to an area-preserving crystalline motion is investigated in this paper. In this equation, the area enclosed by...
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Homogenization of parabolic equations an alternative approach and some corrector-type results
We extend and complete some quite recent results by Nguetseng [Ngu1] and Allaire [All3] concerning two-scale convergence. In particular, a...
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An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains
We study an invariance principle for additive functionals of nonsymmetric Markov processes with singular mean forward velocities. We generalize...
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C
X 2-DISTRIBUTION - See ‘Chi-squared’ distribution. -
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The variational inequality approach to the
Considering the one-phase Stefan problem, we present an account of some recent mathematical results within the framework of variational inequalities....