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Randomness and non-locality
(World Scientific, 2016-09)
The concepts of randomness and non-locality are intimately intertwined outcomes of randomly chosen measurements over entangled systems exhibiting non-local correlations are, if we preclude instantaneous influence between ...
Nonlocal heat equations in the Heisenberg group
(Springer, 2017-10)
We study the following nonlocal diffusion equation in the Heisenberg group Hn,ut(z,s,t)=J∗u(z,s,t)-u(z,s,t),where ∗ denote convolution product and J satisfies appropriated hypothesis. For the Cauchy problem we obtain that ...
Constraining generalized non-local cosmology from Noether symmetries
(2017)
We study a generalized non-local theory of gravity which, in specific limits, can become either the curvature non-local or teleparallel non-local theory. Using the Noether symmetry approach, we find that the coupling ...
Nonlocal Delaunay surfaces
(Elsevier, 2016)
We construct codimension 1 surfaces of any dimension that minimize a periodic nonlocal perimeter functional among surfaces that are periodic, cylindrically symmetric and decreasing.
These surfaces may be seen as a ...
Existence of solutions for a class of abstract differential equations with nonlocal conditions
(PERGAMON-ELSEVIER SCIENCE LTD, 2011)
We discuss the existence of mild, classical and strict solutions for a class of abstract differential equations with nonlocal conditions. Our technical approach allows the study of partial differential equations with ...
Study of a logistic equation with local and non-local reaction terms
(2016-06-01)
We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for ...
Coupled phase field and nonlocal integral elasticity analysis of stress-induced martensitic transformations at the nanoscale: boundary effects, limitations and contradictions
(SpringerDE, 2023)
In this paper, the coupled phase field and local/nonlocal integral elasticity theories are used for stress-induced martensitic phase transformations (MPTs) at the nanoscale to investigate the limitations and contradictions ...