Relationship between the asymptotic behavior of exponents of a multidimensional exponential series and the asymptotic behavior of its coefficients in a neighborhood of singular points

1999 ◽  
Vol 51 (9) ◽  
pp. 1343-1351
Author(s):  
V. Yu. Makarov
Keyword(s):  
Asymptotic Behavior ◽  
Singular Points ◽  
Exponential Series

scholarly journals Asymptotic Behavior of the Hyperbolic Schwarz Map at Irregular Singular Points

2010 ◽  
Vol 53 (1) ◽  
pp. 99-132
Author(s):  
Tatsuya Koike ◽  
Takeshi Sasaki ◽  
Masaaki Yoshida
Keyword(s):  
Asymptotic Behavior ◽  
Singular Points ◽  
Irregular Singular Points

scholarly journals On the asymptotic behavior of the solutions to parabolic variational inequalities

2020 ◽  
Vol 2020 (768) ◽  
pp. 149-182
Author(s):  
Maria Colombo ◽  
Luca Spolaor ◽  
Bozhidar Velichkov
Keyword(s):  
Asymptotic Behavior ◽  
Variational Inequalities ◽  
Stationary Solution ◽  
Global Solutions ◽  
Singular Points ◽  
Obstacle Problems ◽  
Abstract Result ◽  
Łojasiewicz Inequality ◽  
Lojasiewicz Inequality ◽  
Thin Obstacle

AbstractWe consider various versions of the obstacle and thin-obstacle problems, we interpret them as variational inequalities, with non-smooth constraint, and prove that they satisfy a new constrained Łojasiewicz inequality. The difficulty lies in the fact that, since the constraint is non-analytic, the pioneering method of L. Simon ([22]) does not apply and we have to exploit a better understanding on the constraint itself. We then apply this inequality to two associated problems. First we combine it with an abstract result on parabolic variational inequalities, to prove the convergence at infinity of the strong global solutions to the parabolic obstacle and thin-obstacle problems to a unique stationary solution with a rate. Secondly, we give an abstract proof, based on a parabolic approach, of the epiperimetric inequality, which we then apply to the singular points of the obstacle and thin-obstacle problems.

Asymptotic Behavior of Free Boundaries at Their Singular Points

1977 ◽  
Vol 106 (2) ◽  
pp. 309 ◽  
Author(s):  
L. A. Caffarelli ◽  
N. M. Riviere
Keyword(s):  
Asymptotic Behavior ◽  
Singular Points ◽  
Free Boundaries

Binary diagrams of mesomorphous compounds exhibiting singular points

1978 ◽  
Vol 3 ◽  
pp. 381-386 ◽  
Author(s):  
F. Hardouin ◽  
G. Sigaud ◽  
M.-F. Achard ◽  
H. Gasparoux
Keyword(s):  
Singular Points

High-frequency asymptotic behavior of radiation spectra of moving charges in classical electrodynamics

1986 ◽  
Vol 149 (8) ◽  
pp. 709 ◽  
Author(s):  
I.I. Abbasov ◽  
Boris M. Bolotovskii ◽  
Valerii A. Davydov
Keyword(s):  
Asymptotic Behavior ◽  
High Frequency ◽  
Classical Electrodynamics ◽  
Radiation Spectra

Effect of proximity of the Fermi level to singular points in the band structure on the kinetic and lattice properties of metals and alloys

1988 ◽  
Vol 154 (3) ◽  
pp. 525 ◽  
Author(s):  
V.P. Antropov ◽  
Valentin G. Vaks ◽  
M.I. Katsnel'son ◽  
V.G. Koreshkov ◽  
A.I. Likhtenshtein ◽  
...  
Keyword(s):  
Band Structure ◽  
Fermi Level ◽  
Metals And Alloys ◽  
Singular Points
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