Differential forms
Study on Exterior Algebra Bundle and Differential Forms
... and differential forms are two important sections in differential ...A differential form of order or an -form is totally antisymmetric tensor of type 0, ...of differential forms, ...
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Spinor and Hertzian Differential Forms in Electromagnetism
... Differential forms pioneered by Cartan [1] (a differential p-form is a covariant skew-symmetric tensor field of degree p) and introduced some years ago in electromagnetism, may appear as a challenge ...
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Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra
... paper differential forms and differential algebra are applied to give a new defini- tion of realization for multivariable nonlinear systems consistent with the linear realization ...
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A subdivision approach to the construction of smooth differential forms
... each triangle of the mesh with a region on R 2 under which the barycentric coordinates of points within each triangle are invariant. However, the resulting atlas formed by the piece- wise linear isomorphism is not ...
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Differential forms on free and almost free divisors
... In [8] Damon introduced a de®nition of almost free divisor, and a suitable category of deformations, which encompass these examples and many others. Using Morse-theoretic techniques introduced in [11], he is able to ...
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Spline discrete differential forms
... In what follows, we remind what are constructed B-splines and their properties ( for this part the reader can be refer to the book of de Boor [9]) then we explain how construct discrete differential forms ...
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Caratheodory operator of differential forms
... One of the important work in the field of differential forms is to develop various kinds of estimates and inequalities for differential forms under some conditions. These results have wide ...
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Interpolation with bilinear differential forms
... It is assumed that the reader is familiar with the basic philosophy and notation of behavioral systems theory. A detailed exposition of some of the basic concepts in this theory can be found in [5]. Linear behaviors are ...
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Removable Singularities of-Differential Forms and Quasiregular Mappings
... A theorem on removable singularities of ᐃ᐀ -di ff erential forms is proved and applied to quasiregular mappings.. Copyright © 2007 Olli Martio et al.[r] ...
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New weighted poincaré type inequalities for differential forms
... Differential forms have wide applications in many fields, such as tensor analysis, potential theory, partial di ff erential equations, and quasiregular mappings, see [1, 2, 3, 5, 6, 7, ...differential forms, ...
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\(L^{\varphi}\) Embedding inequalities for some operators on differential forms
... A function ϕ(x) is called an Orlicz function, if ϕ(x) satisfies: () ϕ(x) is continuously increasing; () ϕ() = . Furthermore, if the Orlicz function ϕ(x) is a convex function, ϕ(x) is named a Young function. Therefore, ...
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Minicourse on behavioral systems theory Lecture 4: Bilinear and quadratic differential forms
... Hence, for the perturbed model,’the theory, taken literally, says that assuming observability there is no lower order model with the same impulse response matrix.There may well exist, ho[r] ...
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An application of stress energy tensor to the vanishing theorem of differential forms
... We all know that there are many important maps between Riemannlan manifolds such as harmonic, relative harmonic [5], holomorphic [8] and relative affine maps [9] whose differentials poss[r] ...
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Direct methods in the calculus of variations for differential forms
... This paper is intended to generalize and apply the classical direct methods in variational problems for differential forms with an aim to enlarge the range of applications of the variational principle. Our work is ...
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Lipschitz and BMO norm inequalities for the composite operator on differential forms
... Differential forms are a generalization of the traditional ...ential forms have been widely used in physics systems, differential geometry, and ...differential forms is more complicated, so we need some ...
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Imbedding inequalities for the composite operator in the Sobolev spaces of differential forms
... differential forms on R n has been widely applied in many fields, such as quasiconformal mappings and the nonlinear elasticity ...differential forms and the applications also motivate interest in this subject; ...
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Poincaré inequalities and the sharp maximal inequalities with Lφ norms for differential forms
... This paper is concerned with the Poincaré inequalities and the sharp maximal inequalities for differential forms with L ϕ -norm, where ϕ satisfies nonstandard growth conditions. These results can be used to estimate ...
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Linear Hamiltonian behaviors and bilinear differential forms
... 1. Introduction. This paper aims to give a unified treatment of linear Hamil- tonian systems using the formalism of bilinear and quadratic differential forms in- troduced in [24]. We consider systems with and ...
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Weighted Decomposition Estimates for Differential Forms
... The Hodge decomposition theorem has been playing an important part in partial differential equation, the operator theory, and so on. In the recent years, there are some interesting conclusions on the Hodge decomposition ...
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Inequalities for the fractional convolution operator on differential forms
... differential forms, similar properties could be obtained as in the function ...differential forms seems to become a new highlight in the inequalities with differential forms, see [1– ...differential ...
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