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A note on a generalization of the Schwarz theorem about the equality of mixed partial derivatives

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1 Published in 2017 at "Mathematische Nachrichten"

DOI: 10.1002/mana.201600195

Abstract: We provide a generalization of the classical Schwarz theorem about the equality of mixed partial derivatives. More precisely we extend it to a Riemannian manifold (M,g), by proving the following statement: if H,K is a… read more here.

Keywords: generalization; theorem equality; mixed partial; schwarz theorem ... See more keywords

Adjoint-based constant-mass partial derivatives

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0 Published in 2017 at "Annals of Nuclear Energy"

DOI: 10.1016/j.anucene.2017.08.015

Abstract: Abstract In transport theory, adjoint-based partial derivatives with respect to mass density are constant-volume derivatives. Likewise, adjoint-based partial derivatives with respect to surface locations (i.e., internal interface locations and the outer system boundary) are constant-density… read more here.

Keywords: adjoint based; mass partial; constant mass; based constant ... See more keywords

Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives

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0 Published in 2018 at "Axioms"

DOI: 10.3390/axioms7010010

Abstract: In this paper, the solvability of nonlinear fractional partial differential equations (FPDEs) with mixed partial derivatives is considered. The invariant subspace method is generalized and is then used to derive exact solutions to the nonlinear… read more here.

Keywords: solutions fractional; mixed partial; partial derivatives; fractional differential ... See more keywords