Results 31 to 40 of about 2,703,249 (309)

On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

open access: yes, 2017
In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Equation.
Iturriaga, Leonelo, Massa, Eugenio
core   +1 more source

A comparison principle for random walk on dynamical percolation [PDF]

open access: yesThe Annals of Probability, 2020
40 pages. Submitted. This is a revised version of the previously titled "Random walk on dynamical percolation".
Hermon, Jonathan, Sousi, Perla
openaire   +4 more sources

Comparison principles and input-to-state stability for stochastic impulsive systems with delays

open access: yesSystems Science & Control Engineering, 2021
In this paper, the input-to-state stability (ISS), the pth moment exponential ISS and the stochastic input-to-state stability issues are investigated for the stochastic impulsive systems with time delays via the comparison principle method.
Shuang Liang, Jinling Liang
doaj   +1 more source

Equivalence of solutions for non-homogeneous $ p(x) $-Laplace equations

open access: yesMathematics in Engineering, 2023
We establish the equivalence between weak and viscosity solutions for non-homogeneous $ p(x) $-Laplace equations with a right-hand side term depending on the spatial variable, the unknown, and its gradient.
María Medina , Pablo Ochoa
doaj   +1 more source

A comparison principle for convolution measures with applications [PDF]

open access: yesMathematical Proceedings of the Cambridge Philosophical Society, 2019
AbstractWe establish the general form of a geometric comparison principle for n-fold convolutions of certain singular measures in ℝd which holds for arbitrary n and d. This translates into a pointwise inequality between the convolutions of projection measure on the paraboloid and a perturbation thereof, and we use it to establish a new sharp Fourier ...
René Quilodrán, Diogo Oliveira e Silva
openaire   +4 more sources

Large deviations for Markov jump processes with mean-field interaction via the comparison principle for an associated Hamilton-Jacobi equation

open access: yes, 2015
We prove the large deviation principle for the trajectory of a broad class of mean field interacting Markov jump processes via a general analytic approach based on viscosity solutions.
Kraaij, Richard
core   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

open access: yesFEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

Principles of Germplasm Comparisons

open access: yesJournal of Dairy Science, 1987
Abstract Design of germplasm comparisons depends on the hypothesis to be tested. Most important hypotheses concern the future environment for production and marketing. 1) Will the best bulls in an exotic breed improve a local breed?; 2) Is it efficient to upgrade a local breed with bulls from a related exotic breed that has a large, effective program ...
openaire   +2 more sources

A stepwise emergence of evolution in the RNA world

open access: yesFEBS Letters, EarlyView.
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley   +1 more source

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