Mathematics - Analysis of PDEs35K1035K20We consider here a generalized heat equation $\\partial_tho=\\frac{d}{dx}\\frac{d}{dW}ho$, where $W$ is a finite measure on the onedimensional torus, and $\\frac{d}{dW}$ is the Radon-Nikodym derivative withrespect to $W$. Such equation ...
We consider here a generalized heat equation $\partial_t ho=\frac{d}{dx}\frac{d}{dW}ho$, where $W$ is a finite measure on the one dimensional torus, and $\frac{d}{dW}$ is the Radon-Nikodym derivative with respect to $W$. Such equation has appeared in different contexts, being ...
he must have the whole right of disposing of it. But with regard to derivative acquisition, it may be otherwise, for the person from whom the thing is acquired may not have an unlimited right to it, or he may convey or transfer it with certain reservations of right. Derivative title must...
of a function defined in space (or in a plane), the derivative in the direction of the normal to some surface (or to a curve lying in the plane). LetSbe a surface,Pa point onS, andfa function in some neighborhood ofP. Then the normal derivative offatPis equal to the limit of the...
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Twitter Google Share on Facebook Total differential (redirected fromTotal derivative) Encyclopedia Wikipedia (Math.)the differential of a function of two or more variables, when each of the variables receives an increment. Thetotal differentialof the function is the sum of all thepartial differentials...
Boundary-value problems for the heat conduction equation are considered in the case where the boundary conditions contain a fractional derivative. Problems of this type arise when the heat processes are simulated by a nonstationary heat flow by using the one-dimensional thermal model of a two-layer...
Boltzmann equation Cartographic Projections Castigliano's theorem Conjugate Functions contravariant index Correspondence Principle covariant index del operator derivative diffeomorphism differential differential calculus Differential Equations Differential Geometry differential heat of solution entropy References in periodicals...
41under milder conditions. Moreover, due to their lowerbasicity,9they are generally more suitable to interact with easily enolizable carbonyl compounds. The reaction of (34) with MeZr(OBun)3to afford (35) serves to illustrate how versatile these reagents are in organic synthesis (equation16)....
Compared with azepine derivatives, considerable scope still exists for innovative exploration of ring-closing metathesis methodology to access multisubstituted 1,2-oxazepine and 1,3-thiazepine derivatives and benz-fused analogues. Also, the full synthetic potential of the Meisenheimer rearrangement to affor...