The principal eigenvalue of a space–time periodic parabolic operator

By Grégoire Nadin. 2009

94 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/623c906fd555203053cd4bcd3b29250627ac19b4

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In Applied Mathematics

In Computational Theory and Mathematics

In Numerical Analysis

Citations in the corpus

Existence and uniqueness of the solution of a space–time periodic reaction–diffusion equation (2010, background): “The pointwise convergence has been proved by the author in [20].”
Asymptotic spreading in heterogeneous diffusive excitable media (2008, methodology): “This family of eigenvalues has been investigated in [23], where it is proved that there exists a couple (k, ψ) that satisfies (1.”
Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations (2014, background): “10), in particular, their associated principal eigenvalue problems, are extensively studied and quite well understood (see [13, 14, 15, 21, 23, 25, 30, 34], etc.”
Traveling waves and spreading speeds for time-space periodic monotone systems (2015, background): “The minimal wave speed of such pulsating fronts was established in [28] under a KPP type condition and the following monostability condition: (i) there is a positive continuous space-time periodic solution p; (ii) if u is a space periodic solution such that u ≤ p and inf(t,x)∈R×RN u(t, x) > 0, then ”
On the definition and the properties of the principal eigenvalue of some nonlocal operators (2015, background): “For instance, several new notions of principal eigenvalue have been introduced for general elliptic operators defined on (limit or almost) periodic media [6, 10, 49, 56].”
Persistence versus extinction under a climate change in mixed environments (2014, background): “The time-periodic dependent reaction has been previously investigated in various frameworks, the interested reader are referred to [14],[19], [20],[23].”
A diffusive logistic model with a free boundary in time-periodic environment☆ (2013, background): “14(1) of [27] to obtain the following result.”
Effects of diffusion and advection on the principal eigenvalue of a periodic-parabolic problem with applications (2015, background): “refer to [14,18,19,37,40,48,50]; on the other hand, the study on the principal eigenvalue for cooperative systems can be found in [2–4,12,13,15] and the references therein.”