A Note on Symmetric Differential Operators and Binomial Coefficients

Note that the derivation in [7] relies on a formula of Fomin and Greene, which gives a combinatorial interpretation for the coefficients in the expansion of stable Schubert

Shakhmurov, “Coercive boundary value problems for regular degenerate di ff erential-operator equations,” Journal of Mathematical Analysis and Applications, vol. Shakhmurov,

We find the criteria for the solvability of the operator equation AX − XB = C, where A, B , and C are unbounded operators, and use the result to show existence and regularity

In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its

Moreover, we consider the shifting identity for several sequences of combinatorial interest, such as the binomial coefficients, the polynomial coefficients, the Stirling numbers

Let C be a co-accessible category with weak limits, then the objects of the free 1 -exact completion of C are exactly the weakly representable functors from C

Then we prove some regularity results, in the sense of Sobolev or H¨older spaces (see Theorems 5, 6), when the coefficients are more regular, as well as the generalization of all

The role played by coercivity inequalities (maximal regularity, well-posedness) in the study of boundary value problems for parabolic and elliptic differential equations is well