scholarly journals Semilinear wave equation on compact Lie groups

2021 ◽  
Vol 12 (3) ◽  
Author(s):  
Alessandro Palmieri
Keyword(s):  
Wave Equation ◽  
Lie Groups ◽  
Compact Lie Groups ◽  
Semilinear Wave Equation

scholarly journals Hardy space estimates for the wave equation on compact Lie groups

2010 ◽  
Vol 259 (12) ◽  
pp. 3230-3264 ◽  
Author(s):  
Jiecheng Chen ◽  
Dashan Fan ◽  
Lijing Sun
Keyword(s):  
Wave Equation ◽  
Hardy Space ◽  
Lie Groups ◽  
Compact Lie Groups

scholarly journals Wave equation for sums of squares on compact Lie groups

2015 ◽  
Vol 258 (12) ◽  
pp. 4324-4347 ◽  
Author(s):  
Claudia Garetto ◽  
Michael Ruzhansky
Keyword(s):  
Wave Equation ◽  
Lie Groups ◽  
Sums Of Squares ◽  
Compact Lie Groups

Cohomology of orbits of compact Lie groups

1983 ◽  
Vol 69 (1) ◽  
pp. 51-71
Author(s):  
Simone Gutt
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups

MINIMAL SURFACES IN COMPACT LIE GROUPS

1978 ◽  
Vol 33 (3) ◽  
pp. 145-146
Author(s):  
Dao Chong Tkhi
Keyword(s):  
Lie Groups ◽  
Minimal Surfaces ◽  
Compact Lie Groups

scholarly journals Infinitely many periodic solutions for a semilinear wave equation with x-dependent coefficients

2020 ◽  
Vol 26 ◽  
pp. 7
Author(s):  
Hui Wei ◽  
Shuguan Ji
Keyword(s):  
Wave Equation ◽  
Periodic Solutions ◽  
Spectral Properties ◽  
Seismic Waves ◽  
Forced Vibrations ◽  
One Dimensional ◽  
Semilinear Wave Equation ◽  
Spatial Interval ◽  
Rational Multiple ◽  
Infinitely Many Periodic Solutions

This paper is devoted to the study of periodic (in time) solutions to an one-dimensional semilinear wave equation with x-dependent coefficients under various homogeneous boundary conditions. Such a model arises from the forced vibrations of a nonhomogeneous string and propagation of seismic waves in nonisotropic media. By combining variational methods with an approximation argument, we prove that there exist infinitely many periodic solutions whenever the period is a rational multiple of the length of the spatial interval. The proof is essentially based on the spectral properties of the wave operator with x-dependent coefficients.

scholarly journals Twisted K-theory constructions in the case of a decomposable Dixmier-Douady class

2014 ◽  
Vol 14 (2) ◽  
pp. 247-272 ◽  
Author(s):  
Antti J. Harju ◽  
Jouko Mickelsson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Lie Groups ◽  
Explicit Construction ◽  
Theory Model ◽  
Quantum Field ◽  
Compact Lie Groups ◽  
Field Theory Model ◽  
Cup Product ◽  
K Theory

AbstractTwisted K-theory on a manifold X, with twisting in the 3rd integral cohomology, is discussed in the case when X is a product of a circle and a manifold M. The twist is assumed to be decomposable as a cup product of the basic integral one form on and an integral class in H2(M,ℤ). This case was studied some time ago by V. Mathai, R. Melrose, and I.M. Singer. Our aim is to give an explicit construction for the twisted K-theory classes using a quantum field theory model, in the same spirit as the supersymmetric Wess-Zumino-Witten model is used for constructing (equivariant) twisted K-theory classes on compact Lie groups.

ON THE MODEL THEORY OF THE LOGARITHMIC FUNCTION IN COMPACT LIE GROUPS

2013 ◽  
Vol 12 (08) ◽  
pp. 1350055
Author(s):  
SONIA L'INNOCENTE ◽  
FRANÇOISE POINT ◽  
CARLO TOFFALORI
Keyword(s):  
Lie Groups ◽  
Lie Group ◽  
Model Theory ◽  
Effective Model ◽  
Logarithmic Function ◽  
Compact Lie Groups ◽  
Model Completeness ◽  
Schanuel's Conjecture ◽  
Logarithm Function ◽  
Natural Expansion

Given a compact linear Lie group G, we form a natural expansion of the theory of the reals where G and the graph of a logarithm function on G live. We prove its effective model-completeness and decidability modulo a suitable variant of Schanuel's Conjecture.

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