scholarly journals Uniform Auxiliary Space Preconditioning for HDG Methods for Elliptic Operators with a Parameter Dependent Low Order Term

2021 ◽  
Vol 43 (6) ◽  
pp. A3912-A3937
Author(s):  
Guosheng Fu
Keyword(s):  
Order Term ◽  
Elliptic Operators ◽  
Auxiliary Space ◽  
Parameter Dependent ◽  
Low Order

Separable convolution-elliptic operators with parameters

2015 ◽  
Vol 27 (5) ◽  
Author(s):  
Veli B. Shakhmurov
Keyword(s):  
Elliptic Equations ◽  
Maximal Regularity ◽  
Sufficient Conditions ◽  
Elliptic Operators ◽  
Regularity Properties ◽  
Parameter Dependent

AbstractThe maximal regularity properties of parameter dependent abstract convolution-elliptic equations are investigated. Here find sufficient conditions that guarantee the uniform separability of these problems in

scholarly journals The Existence and Uniqueness of an Entropy Solution to Unilateral Orlicz Anisotropic Equations in an Unbounded Domain

Axioms ◽  
2020 ◽  
Vol 9 (3) ◽  
pp. 109 ◽  
Author(s):  
Omar Benslimane ◽  
Ahmed Aberqi ◽  
Jaouad Bennouna
Keyword(s):  
Unbounded Domain ◽  
Elliptic Problem ◽  
Existence And Uniqueness ◽  
Polynomial Growth ◽  
Entropy Solution ◽  
Source Term ◽  
Order Term ◽  
Arbitrary Domain ◽  
Low Order

The purpose of this work is to prove the existence and uniqueness of a class of nonlinear unilateral elliptic problem (P) in an arbitrary domain, managed by a low-order term and non-polynomial growth described by an N-uplet of N-function satisfying the Δ2-condition. The source term is merely integrable.

Fractional Schr\”{o}dinger-Poisson system with low order term

Authorea ◽  
2020 ◽  
Author(s):  
Shaoying Zhang ◽  
Kaimin Teng ◽  
Quanqing Li
Keyword(s):  
Order Term ◽  
Poisson System ◽  
Low Order

the effects of resonance with Jupiter in the system of short-period comets

1974 ◽  
Vol 22 ◽  
pp. 193-203
Author(s):  
L̆ubor Kresák
Keyword(s):  
Structural Effects ◽  
Order Resonance ◽  
Mean Motion ◽  
Short Period ◽  
The Mean ◽  
Compound Effect ◽  
Low Order

AbstractStructural effects of the resonance with the mean motion of Jupiter on the system of short-period comets are discussed. The distribution of mean motions, determined from sets of consecutive perihelion passages of all known periodic comets, reveals a number of gaps associated with low-order resonance; most pronounced are those corresponding to the simplest commensurabilities of 5/2, 2/1, 5/3, 3/2, 1/1 and 1/2. The formation of the gaps is explained by a compound effect of five possible types of behaviour of the comets set into an approximate resonance, ranging from quick passages through the gap to temporary librations avoiding closer approaches to Jupiter. In addition to the comets of almost asteroidal appearance, librating with small amplitudes around the lower resonance ratios (Marsden, 1970b), there is an interesting group of faint diffuse comets librating in characteristic periods of about 200 years, with large amplitudes of about±8% in μ and almost±180° in σ, around the 2/1 resonance gap. This transient type of motion appears to be nearly as frequent as a circulating motion with period of revolution of less than one half that of Jupiter. The temporary members of this group are characteristic not only by their appearance but also by rather peculiar discovery conditions.

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