Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions

By Carmen Cortázar, Manuel Elgueta, Julio D. Rossi. 2009

92 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/b9e6eaaa559fe8facb4243baf4a17e10af73edc9

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In Applied Mathematics

In Computational Theory and Mathematics

In Mathematical Physics

Citations in the corpus

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.”
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.”
Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment (2019, unknown): “, see [13,11,24,12,4,15,14,33,19,21,8] and the references therein).”
Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations (2014, background): “9), Theorem A has been proved in [8] and [9].”
Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications (2012, background): “The reader is referred to [6,7], and [29] about the approximations of the initial value problems of the random dispersal operators associated to (1.”
On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications (2013, unknown): “The reader is referred to [1], [2], [4], [5], [6], [7], [8], [10], [11], [16], [22], [23], [24], [26], [28], [30], [32], etc.”
On the principal eigenvalue of some nonlocal diffusion problems (2009, background): “This resemblance has been already observed for related problems in previous works, for instance in [2], [ 15 ] and [17].”