Technical appendix Research OKUI, Ryo
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– Classical solutions to a multidimensional free boundary problem arising in combustion theory, Commun.. – Mathematics contribute to the progress of combustion science, in
We shall see below how such Lyapunov functions are related to certain convex cones and how to exploit this relationship to derive results on common diagonal Lyapunov function (CDLF)
This class of starlike meromorphic functions is developed from Robertson’s concept of star center points [11].. Ma and Minda [7] gave a unified presentation of various subclasses
In view of Theorems 2 and 3, we need to find some explicit existence criteria for eventually positive and/or bounded solutions of recurrence re- lations of form (2) so that
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
The technique involves es- timating the flow variogram for ‘short’ time intervals and then estimating the flow mean of a particular product characteristic over a given time using
Beyond proving existence, we can show that the solution given in Theorem 2.2 is of Laplace transform type, modulo an appropriate error, as shown in the next theorem..
In addition, we prove a (quasi-compact) base change theorem for rigid etale cohomology and a comparison theorem comparing rigid and algebraic etale cohomology of algebraic