scholarly journals Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups

2020 ◽  
Vol 135 ◽  
pp. 284-338
Author(s):  
Xue Ping Wang
Keyword(s):  
Time Decay ◽  
Exponential Time ◽  
Gevrey Estimates

scholarly journals Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker–Planck equations

2019 ◽  
Vol 144 (3) ◽  
pp. 615-697 ◽  
Author(s):  
Guillaume Dujardin ◽  
Frédéric Hérau ◽  
Pauline Lafitte
Keyword(s):  
Time Decay ◽  
Exponential Time ◽  
Fokker Planck Equations ◽  
Fokker Planck

scholarly journals Особенности оптического усиления в сильнолегированных Al-=SUB=-x-=/SUB=-Ga-=SUB=-1-x-=/SUB=-N:Si-структурах

2021 ◽  
Vol 47 (14) ◽  
pp. 39
Author(s):  
П.А. Бохан ◽  
К.С. Журавлёв ◽  
Д.Э. Закревский ◽  
Т.В. Малин ◽  
И.В. Осинных ◽  
...  
Keyword(s):  
Radiative Recombination ◽  
Optical Pumping ◽  
Optical Excitation ◽  
Stimulated Emission ◽  
Time Decay ◽  
Time Resolved ◽  
Exponential Time ◽  
Donor Acceptor ◽  
Heavily Doped

Time-resolved luminescence and stimulated emission intensities has been experimentally investigated in heavily doped Al0.65Ga0.35N and Al0.74Ga0.26N structures under pulsed optical excitation. These results showed that the time decay of the luminescence and stimulated emission intensities for various wavelengths of the emitted spectrum and optical pumping intensities consisting of at least the fast and the slow components. Fast components with exponential time decay are responsible for the radiative recombination of nonequilibrium electrons on deep acceptors, while slow ones are responsible for the recombination of donor-acceptor pairs

scholarly journals ALGEBRAIC TIME DECAY FOR THE BIPOLAR QUANTUM HYDRODYNAMIC MODEL

2008 ◽  
Vol 18 (06) ◽  
pp. 859-881 ◽  
Author(s):  
HAI-LIANG LI ◽  
GUOJING ZHANG ◽  
KAIJUN ZHANG
Keyword(s):  
Decay Rate ◽  
Semiclassical Limit ◽  
Global Solutions ◽  
Time Decay ◽  
Unique Strong Solution ◽  
Algebraic Decay ◽  
Exponential Time ◽  
Qhd Model ◽  
Quantum Hydrodynamic ◽  
Time Decay Rate

The initial value problem is considered in the present paper for the bipolar quantum hydrodynamic (QHD) model for semiconductors in ℝ3. The unique strong solution exists globally in time and tends to the asymptotical state with an algebraic decay rate as time goes to infinity is proved. And, the global solution of linearized bipolar QHD system decays in time at an algebraic decay rate from both above and below is shown. This means that in general we cannot get an exponential time-decay rate for bipolar QHD system, which is different from the case of unipolar QHD model (where global solutions tend to the equilibrium state at an exponential time-decay rate) and is mainly caused by the nonlinear coupling and cancelation between two carriers. Moreover, it is also shown that the nonlinear dispersion does not affect the long time asymptotic behavior, which by product gives rise to the algebraic time-decay rate of the solution of the bipolar hydrodynamical model in the semiclassical limit.

On exponential time decay in relaxation

1976 ◽  
Vol 64 (6) ◽  
pp. 2674 ◽  
Author(s):  
R. I. Cukier
Keyword(s):  
Time Decay ◽  
Exponential Time
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