[PDF] Top 20 Caratheodory operator of 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 ... See full document
14
Inequalities for Green's operator applied to the minimizers
... Green’s operator applied to minimizers for functionals defined on differential forms in L -averaging ...Green’s operator and can be used to estimate the norms of other operators applied to ... See full document
10
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 ... See full document
17
Some Caccioppoli Estimates for Differential Forms
... Ding proved the Caccioppli estimates for the solution to the nonhomogeneous A-harmonic equation d ∗ Ax, du Bx, du in 10, where the operator B satisfies |Bx, ξ| ≤ |ξ| p−1 . In 2004, D’Onofrio and Iwaniec introduced ... See full document
11
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 ... See full document
6
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 ... See full document
6
Variation of Parameters for Causal Operator Differential Equations
... Introduction to the mild (Weak) solutions: For the definition of strong solution in the previous section, it was assumed equivalent relations between the differential and integral forms. This assumption ... See full document
20
Imbedding inequalities for the composite operator in the Sobolev spaces of differential forms
... 4. Agarwal, RP, Ding, S: Inequalities for Green’s operator applied to the minimizers. J. Inequal. Appl. 2011, 66 (2011) 5. Iwaniec, T, Lutoborski, A: Integral estimates for null Lagrangians. Arch. Ration. Mech. ... See full document
11
Lipschitz and BMO norm inequalities for the composite operator on differential forms
... Dirac operator we are studying is the Hodge-Dirac operator defined by D = d + d ∗ ...differential operator on differential forms, and d ∗ is the formal adjoint operator of ...The ... See full document
11
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– ...integrals ... See full document
13
Computable error bounds with improved applicability conditions for collocation methods
... It is shown that if the differential operator is split in different operator forms then the applicability conditions for the computable error bounds which are based on the collocation ma[r] ... See full document
5
Mixed automorphic forms and differential equations
... the second kind modulo exact forms and a certain parabolic cohomology group... determined the isomorphism explicitly in terms of the periods of the automorphic forms.[r] ... See full document
8
Spinor and Hertzian Differential Forms in Electromagnetism
... The differential forms give a compact description of Maxwell’s equations, see (8), (22), (26), (31), but to get their solutions which are in fact weak solutions of Maxwell’s equations requires some ... See full document
15
Differential Diagnosis of Variant Forms of Hyperphenylalaninemia
... Another of the newer methods involves measure- ment of the patient’s blood phenylalanine levels after the administration of tetrahydrobiopterin (BH4); phenylalanine levels decrease in pa[r] ... See full document
5
Cyclic Operator Decomposition for Solving the Differential Equations
... Various classical and quantum-mechanical problems in theoretical physics lead to the necessity of solving the linear operator equations for unknown functions and, in particular, the differential equations. ... See full document
5
Optimality and Duality Defined by the Concept of Tempered Fractional Univex Functions in Multi-Objective Optimization
... Fractional calculus is the most important branch of mathematical analysis, because it refers to the non-linearity studies in all science. The most famous operators are the Riemann-Liouville, Caputo (continuous operators) ... See full document
11
A primer on exterior differential calculus
... to differential geometry are given in [1] and ...of differential forms in spacetime physics is given in [3] from which some of our examples ... See full document
78
Some results for strong differential subordination of analytic functions defined by differential operator
... Abstract: The purpose of this paper is to introduce some results associated with the strong differential subordinations of analytic functions defined in the open unit dis[r] ... See full document
9
On Certain Subclass of Analytic Functions Based on Convolution of Ruscheweyh and Generalized Salagean Differential Operator
... The study of normalised analytic univalent functions is enhanced by the used of operators, mostly, differential and integral operators. In this study, we have implored the used of convulation of well known ... See full document
7
Inequalities for the composition of Green’s operator and the potential operator
... potential operator P applied to differential forms. The differential forms are extensions of functions and can be used to describe various systems of PDEs, physics, theory of elasticity, quasiconformal ... See full document
13
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