Imbedding theorem for a class of functions defined on the entire space or on a half space. I

1968 ◽  
pp. 199-225 ◽  
Author(s):  
L. D. Kudrjavcev
Keyword(s):  
Half Space ◽  
Entire Space ◽  
Class Of Functions

L∞-Bounds for Solutions of Supercritical Elliptic Problems with Finite Morse Index

2010 ◽  
Vol 10 (4) ◽  
Author(s):  
Abdellaziz Harrabi ◽  
Salem Rebhi
Keyword(s):  
Critical Exponent ◽  
Half Space ◽  
Bounded Domain ◽  
Morse Index ◽  
Elliptic Problems ◽  
Entire Space ◽  
Smooth Bounded Domain ◽  
Sobolev Critical Exponent

AbstractWe study here finite Morse index solutions of -∆u = f(u) on the entire space or half space and their application to smooth bounded domain problems when the growth of the non-linearity is faster than the usual Sobolev critical exponent.

Regularization of a continuation problem for electrodynamic equations

2020 ◽  
Vol 28 (5) ◽  
pp. 751-760
Author(s):  
Vladimir G. Romanov
Keyword(s):  
Half Space ◽  
Half Plane ◽  
Regularization Method ◽  
Continuation Problem ◽  
Class Of Functions

AbstractThe problem of continuation of a solution of electrodynamic equations from the time-like half-plane S=\{x\in\mathbb{R}^{3}\mid x_{3}=0\} inside the half-space \mathbb{R}^{3}_{+}=\{x\in\mathbb{R}^{3}\mid x_{3}>0\} is considered. A regularization method for a solution of this problem with approximate data is proposed, and the convergence of this method for the class of functions that are analytic with respect to space variables is stated.

CLASS OF BOOLEAN FUNCTIONS CONSTRUCTED USING SIGNIFICANT BITS OF LINEAR RECURRENCES OVER THE RING ℤ2n

2019 ◽  
Vol 6 (2) ◽  
pp. 90-94
Author(s):  
Hernandez Piloto Daniel Humberto
Keyword(s):  
Linear Function ◽  
Boolean Functions ◽  
Hamming Distance ◽  
Linear Recurrences ◽  
Maximum Period ◽  
Non Linear ◽  
The Given ◽  
Class Of Functions

In this work a class of functions is studied, which are built with the help of significant bits sequences on the ring ℤ2n. This class is built with use of a function ψ: ℤ2n → ℤ2. In public literature there are works in which ψ is a linear function. Here we will use a non-linear ψ function for this set. It is known that the period of a polynomial F in the ring ℤ2n is equal to T(mod 2)2α, where α∈ , n01- . The polynomials for which it is true that T(F) = T(F mod 2), in other words α = 0, are called marked polynomials. For our class we are going to use a polynomial with a maximum period as the characteristic polyomial. In the present work we show the bounds of the given class: non-linearity, the weight of the functions, the Hamming distance between functions. The Hamming distance between these functions and functions of other known classes is also given.

On a technique for deriving explicit transfer matrices of orthotropic layers

2015 ◽  
Vol 37 (4) ◽  
pp. 303-315 ◽  
Author(s):  
Pham Chi Vinh ◽  
Nguyen Thi Khanh Linh ◽  
Vu Thi Ngoc Anh
Keyword(s):  
Wave Propagation ◽  
Explicit Form ◽  
Half Space ◽  
Transfer Matrix ◽  
Rayleigh Waves ◽  
Secular Equation ◽  
Transfer Matrices ◽  
Orthotropic Layer ◽  
Wave Propagation Problem ◽  
Arbitrary Thickness

This paper presents  a technique by which the transfer matrix in explicit form of an orthotropic layer can be easily obtained. This transfer matrix is applicable for both the wave propagation problem and the reflection/transmission problem. The obtained transfer matrix is then employed to derive the explicit secular equation of Rayleigh waves propagating in an orthotropic half-space coated by an orthotropic layer of arbitrary thickness.

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