On the principal eigenvalue of some nonlocal diffusion problems

By Jorge García-Melián, Julio D. Rossi. 2009

156 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/78a26bd50e81fce4451ee00fa204aa6b06e18784

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In Applied Mathematics

1. Wenxian Shen
2. Aijun Zhang
3. Xiaoxia Xie
4. Nar Rawal
5. Jérôme Coville
6. Wan-Tong Li
7. Henri Berestycki
8. Hoang-Hung Vo

In Computational Theory and Mathematics

1. Wenxian Shen
2. Aijun Zhang
3. Xiaoxia Xie
4. Nar Rawal
5. Jérôme Coville

In Numerical Analysis

1. Wenxian Shen
2. Aijun Zhang
3. Jérôme Coville
4. Nar Rawal
5. Xiaoxia Xie
6. Henri Berestycki
7. Hoang-Hung Vo
8. Wan-Tong Li

Citations in the corpus

• Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations (2012, background): “See, for example, [2], [6], [10], [12], [14], [19], [20], [25], [26], [30], [31], [32], [34], [53], for the study of spectral theory for nonlocal dispersal operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”
• On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications (2013, background): “The reader is referred to [1], [2], [4], [5], [6], [7], [8], [10], [11], [16], [22], [23], [24], [26], [28], [30], [32], etc.”
• Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications (2012, background): “The principal eigenvalue problem for time independent nonlocal dispersal operators with Dirichlet type, or Neumann type, or periodic boundary condition has been recently studied by many people (see [9,15,18,22,31,30], and references therein) and is quite well understood now.”
• Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats (2012, background): “See, for example, [2], [7], [8], [10], [12], [15], [16], [19], [22], [23], [24], [26], [40], [41], for the study of spectral theory for nonlocal dispersal operators and the existence, uniqueness, and stability of nontrivial positive stationary solutions.”
• On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators (2010, background): “Such type of equation naturally appears in some ecological problems when in addition to the dispersion of the individuals in the environment, the birth and death of these individuals are also modelled, see [31, 32, 33, 34].”