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The regularity of the value function and the optimal dividend policy are studied as well.
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For hyperbolic systems which do not change the regularity of the initial value this is equivalent to assuming some regularity for the initial value.
However, in many instances an assumption on the regularity of the initial value (i.e. u 0 ∈ V ) does result in the same regularity of the solution at later times (i.e. u (t ) ∈ V ).
It is shown in [15,16] that for sufficiently regular initial values the regularity of the solution to the KdV equation is not diminished as it is evolved in time (although this does not rule out the appearance of high frequency oscillations).
The purpose of this article is to establish the well posedness and the regularity of the solution of the initial boundary value problem with Dirichlet boundary conditions for second-order parabolic systems in cylinders with polyhedral base.
The goal of this paper is to establish the regularity of the solution of the first initial-boundary value problem for general higher-order hyperbolic equations in cylinders with the bases containing cuspidal points.
P2 values represent the regularity of the ipsilateral steps (Fig. 3).
High pH value benefits for the regularity of the products.
Movement professes the regularity of the bar line but violates that regularity at every moment.
Kelly makes jokes about the regularity of the old men.
"It was meant to break the regularity of the building.
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