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Elliptic Problems in Divergence Form
The goal of this chapter is to introduce general elliptic problems extending those already addressed in the preceding chapter and putting them all in...
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Jordan Canonical Form in Diagnosis and Estimation Problems
AbstractWe propose a method for solving diagnosis and estimation problems based on the Jordan canonical form. The problems of constructing...
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Centroaffine T-Umbilical Hypersurfaces and Pseudo-Parallel Cubic Form
In this article, we introduce the notion of locally strongly convex centroaffine T -umbilical hypersurfaces, which may be the “simplest” centroaffine...
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Terms of recurrence sequences in the solution sets of norm form equations
The structure as well as several arithmetic properties of the solution sets of norm form equations are of classical and recent interest. In this...
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A Cheeger-Müller Theorem for Delocalized L2-analytic Torsion Form
In this paper we define the delocalized L 2 -analytic torsion form and the delocalized L 2 -combinatorial torsion form. By using the method of...
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Intrinsic Harnack’s Inequality for a General Nonlinear Parabolic Equation in Non-divergence Form
We prove the intrinsic Harnack’s inequality for a general form of a parabolic equation that generalizes both the standard parabolic p -Laplace...
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Real Normal Form of a Binary Polynomial at a Second-Order Critical Point
AbstractA real polynomial in two variables is considered. Its expansion near the zero critical point begins with a third-degree form. The simplest...
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Bernhard Riemann 1861 revisited: existence of flat coordinates for an arbitrary bilinear form
We generalize the celebrated results of Bernhard Riemann and Gaston Darboux: we give necessary and sufficient conditions for a bilinear form to be...
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On solving a rank regularized minimization problem via equivalent factorized column-sparse regularized models
Rank regularized minimization problem is an ideal model for the low-rank matrix completion/recovery problem. The matrix factorization approach can...
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Commutative Generalized B*-Algebras: Functional Calculus and Equivalent Topologies
In this chapter we introduce a functional calculus for commutative GB*-algebras (Allan), analogue to that of C*-algebras. It will be often used in...
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A Degenerate Operator in Non Divergence Form
In this paper we consider a fourth order operator in non divergence form Au := au′′′′, where...
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Locally Strongly Convex Affine Hypersurfaces with Semi-parallel Cubic Form
In this paper, we investigate the locally strongly convex affine hypersurfaces with semi-parallel cubic form relative to the Levi-Civita connection...
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Interior-point algorithm for symmetric cone horizontal linear complementarity problems based on a new class of algebraically equivalent transformations
We generalize a primal-dual interior-point algorithm (IPA) proposed recently in (Illés T, Rigó PR, Török R Unified approach of primal-dual...
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Effective methods for norm-form equations
While effective resolution of Thue equations has been well understood since the work of Baker in the 1960s, similar results for norm-form equations...
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Algorithms for Generating Equivalent Normalized Correlation Matrices of Noisy Random Signals
It is shown that signals in control objects are usually various physical quantities such as temperature, pressure, vibration, etc. Therefore, when...
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The Brezis–Nirenberg problem for systems involving divergence-form operators
We study a system of nonlinear elliptic partial differential equations involving divergence-form operators. The problem under consideration is a...