Homogenization of nonlocal spectral problems

Population dynamics (general) (92D25) Eigenvalue problems for linear operators (47A75) Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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On the definition and the properties of the principal eigenvalue of some nonlocal operators
Nonlocal refuge model with a partial control
On eigenvalue problems arising from nonlocal diffusion models
On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators
Models of dispersal in biological systems
Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersal
Non-local dispersal.
A logistic equation with refuge and nonlocal diffusion
The evolution of dispersal
Harnack type inequality for positive solution of some integral equation
Large deviations for Markov jump processes in periodic and locally periodic environments
Random dispersal vs. non-local dispersal
Asymptotic solutions of Hamilton-Jacobi equations with state constraints
On the first eigenpair of singularly perturbed operators with oscillating coefficients
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton–Jacobi Equations
Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel
Hamilton-Jacobi Equations with State Constraints
Discontinuous solutions of deterministic optimal stopping time problems
User’s guide to viscosity solutions of second order partial differential equations
Homogenization of a diffusion equation with drift
The perturbed test function method for viscosity solutions of nonlinear PDE
Homogenization of biased convolution type operators
Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats

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