Asymptotic Behavior of the Principal Eigenvalue of a Linear Second Order Elliptic Operator with Small/Large Diffusion Coefficient
From MaRDI portal
Publication:4972017
DOI10.1137/18M1217577zbMath1426.35174arXiv1809.10815OpenAlexW2990553915MaRDI QIDQ4972017
Rui Peng, Maolin Zhou, Guang-Hui Zhang
Publication date: 22 November 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.10815
Estimates of eigenvalues in context of PDEs (35P15) Variational methods for second-order elliptic equations (35J20)
Related Items (8)
A diffusion-advection predator-prey model with a protection zone ⋮ A competition model with impulsive interventions and environmental perturbations in moving environments ⋮ Bifurcation analysis on a river population model with varying boundary conditions ⋮ Global Dynamics of a Lotka--Volterra Competition-Diffusion System in Advective Heterogeneous Environments ⋮ Asymptotic profiles of the endemic equilibrium of a reaction-diffusion-advection SIS epidemic model with saturated incidence rate ⋮ Concentration behavior of endemic equilibrium for a reaction-diffusion-advection SIS epidemic model with mass action infection mechanism ⋮ Asymptotics of the Principal Eigenvalue for a Linear Time-Periodic Parabolic Operator I: Large Advection ⋮ Asymptotics of the principal eigenvalue for a linear time-periodic parabolic operator II: Small diffusion
Cites Work
- An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter
- Seasonal invasion dynamics in a spatially heterogeneous river with fluctuating flows
- Evolution of dispersal in open advective environments
- Effects of heterogeneity on spread and persistence in rivers
- Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications
- How flow speed alters competitive outcome in advective environments
- Population dynamics in river networks
- The first Robin eigenvalue with negative boundary parameter
- Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena
- Precise asymptotics of small eigenvalues of reversible diffusions in the metastable regime
- A nonlocal and periodic reaction-diffusion-advection model of a single phytoplankton species
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator
- Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model
- On the Asymptotic Behavior of the First Eigenvalue of a Second-Order Differential Operator with Small Parameter in Higher Derivatives
- Multidimensional Reaction Diffusion Equations with Nonlinear Boundary Conditions
- Effects of diffusion and advection on the smallest eigenvalue of an elliptic operator and their applications
- The Effect of Dispersal Patterns on Stream Populations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic Behavior of the Principal Eigenvalue of a Linear Second Order Elliptic Operator with Small/Large Diffusion Coefficient