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Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes

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  • Dipierro, Serena
  • Valdinoci, Enrico

Abstract

We propose here a motivation for a mixed local/nonlocal problem with a new type of Neumann condition.

Suggested Citation

  • Dipierro, Serena & Valdinoci, Enrico, 2021. "Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 575(C).
    • Handle: RePEc:eee:phsmap:v:575:y:2021:i:c:s0378437121003253
    DOI: 10.1016/j.physa.2021.126052
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    References listed on IDEAS

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    1. G. M. Viswanathan & Sergey V. Buldyrev & Shlomo Havlin & M. G. E. da Luz & E. P. Raposo & H. Eugene Stanley, 1999. "Optimizing the success of random searches," Nature, Nature, vol. 401(6756), pages 911-914, October.
    2. N. H. Bingham & Rudiger Kiesel, 2002. "Semi-parametric modelling in finance: theoretical foundations," Quantitative Finance, Taylor & Francis Journals, vol. 2(4), pages 241-250.
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    Cited by:

    1. Tingjian Luo & Qihuan Xie, 2023. "Sharp Existence of Ground States Solutions for a Class of Elliptic Equations with Mixed Local and Nonlocal Operators and General Nonlinearity," Mathematics, MDPI, vol. 11(16), pages 1-15, August.

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