A note on a generalization of the Schwarz theorem about the equality of mixed partial derivatives
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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
Global regularity to the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion in a bounded domain
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DOI: 10.1016/s0252-9602(17)30010-3
Abstract: Abstract This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first… read more here.
Keywords: dissipation magnetic; incompressible mhd; global regularity; mixed partial ... See more keywords
Exact Solutions to the Fractional Differential Equations with Mixed Partial Derivatives
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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