scholarly journals Anomalous diffusion in one-dimensional disordered systems: a discrete fractional Laplacian method

2020 ◽  
Vol 53 (13) ◽  
pp. 135205 ◽  
Author(s):  
J L Padgett ◽  
E G Kostadinova ◽  
C D Liaw ◽  
K Busse ◽  
L S Matthews ◽  
...  
Keyword(s):  
Anomalous Diffusion ◽  
Disordered Systems ◽  
Fractional Laplacian ◽  
One Dimensional

scholarly journals Existence of weak solutions to SPDEs with fractional Laplacian and non-Lipschitz coefficients

2021 ◽  
Author(s):  
Shohei Nakajima
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Weak Solutions ◽  
Stochastic Partial Differential Equations ◽  
Fractional Laplacian ◽  
Existence Of Solutions ◽  
Partial Differential ◽  
Continuity Theorem ◽  
Existence Of Weak Solutions ◽  
One Dimensional

AbstractWe prove existence of solutions and its properties for a one-dimensional stochastic partial differential equations with fractional Laplacian and non-Lipschitz coefficients. The method of proof is eatablished by Kolmogorov’s continuity theorem and tightness arguments.

Localization lengths in one-dimensional disordered systems

1972 ◽  
Vol 11 (1) ◽  
pp. 197-201 ◽  
Author(s):  
E.N. Economou ◽  
C. Papatriantafillou
Keyword(s):  
Disordered Systems ◽  
One Dimensional
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