scholarly journals Periodic solutions for the non-local operator $(-\Delta+m^{2})^{s}-m^{2s}$ with $m\geq 0$

2016 ◽  
Vol 48 (1) ◽  
pp. 1 ◽  
Author(s):  
Vincenzo Ambrosio
Keyword(s):  
Periodic Solutions ◽  
Local Operator ◽  
Non Local

scholarly journals Parametrix construction for certain Lévy-type processes

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Victoria Knopova ◽  
Alexei Kulik
Keyword(s):  
Markov Process ◽  
Probability Density ◽  
Lower Bounds ◽  
Transition Probability ◽  
Local Operator ◽  
Upper And Lower Bounds ◽  
Transition Probability Density ◽  
Strong Markov Process ◽  
Non Local ◽  
Strong Markov

AbstractIn this paper, we show that a non-local operator of certain type extends to the generator of a strong Markov process, admitting the transition probability density. For this transition probability density we construct the intrinsic upper and lower bounds, and prove some smoothness properties. Some examples are provided.

scholarly journals New doubly-periodic solutions for the new integrable non local modified KdV equation

2017 ◽  
Vol 2 (4) ◽  
pp. 245-247 ◽  
Author(s):  
S. Shamseldeen ◽  
M.S. Abdel Latif ◽  
A.A. Hamed ◽  
H.M. Nour
Keyword(s):  
Periodic Solutions ◽  
Kdv Equation ◽  
Modified Kdv Equation ◽  
Non Local

Coexistence Solutions for a Periodic Competition Model with Singular–Degenerate Diffusion

2016 ◽  
Vol 60 (4) ◽  
pp. 1065-1075
Author(s):  
Yifu Wang ◽  
Jingxue Yin ◽  
Yuanyuan Ke
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Parabolic Equations ◽  
Competition Model ◽  
Degenerate Parabolic Equations ◽  
Degenerate Diffusion ◽  
Volterra Type ◽  
Non Local ◽  
Degenerate Parabolic

AbstractWe investigate a system of singular–degenerate parabolic equations with non-local terms, which can be regarded as a spatially heterogeneous competition model of Lotka–Volterra type. Applying the Leray–Schauder fixed-point theorem, we establish the existence of coexistence periodic solutions to the problem, which, together with the existing literature, gives a complete picture for such a system for all parameters.

scholarly journals Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Alexey Milekhin
Keyword(s):  
Thermodynamic Properties ◽  
Local Operator ◽  
Residual Entropy ◽  
Point Function ◽  
Conformal Dimension ◽  
Low Energies ◽  
Non Local

Abstract We continue the investigation of coupled Sachdev-Ye-Kitaev (SYK) models without Schwarzian action dominance. Like the original SYK, at large N and low energies these models have an approximate reparametrization symmetry. However, the dominant action for reparametrizations is non-local due to the presence of irrelevant local operator with small conformal dimension. We semi-analytically study different thermodynamic properties and the 4-point function and demonstrate that they significantly differ from the Schwarzian prediction. However, the residual entropy and maximal chaos exponent are the same as in Majorana SYK. We also discuss chain models and finite N corrections.

Mathematical application of a non-local operator in language evolutionary theory

2020 ◽  
Vol 131 ◽  
pp. 109541 ◽  
Author(s):  
Emile F. Doungmo Goufo ◽  
M Khumalo ◽  
Ignace Tchangou Toudjeu ◽  
Ahmet Yildirim
Keyword(s):  
Evolutionary Theory ◽  
Local Operator ◽  
Mathematical Application ◽  
Non Local
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