• Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations 

  Ibañez A. (Journal of Biological Dynamics, 2016-09-01)

  The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting ...

• Discreteness of transmission eigenvalues for higher-order main terms and perturbations 

  García A; Vesalainen E.V.; Zubeldia M. (SIAM Journal on Mathematical Analysis, 2016-07-01)

  In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher-order perturbations. The coefficients of ...

• Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type 

  Del Teso F.; Endal J.; Jacobsen E.R. (Advances in Mathematics, 2016-09-01)

  We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$. Here $\mathcal{L}^\mu$ ...

• Spatial Models for Field Trials 

  Rodríguez-Alvarez M.X.; Boer M.P.; Eeuwijk, F.; Eilers, P.H.C. (2016-09-01)

  An important aim of the analysis of agricultural field trials is to obtain good predictions for genotypic performance, by correcting for spatial effects. In practice these corrections turn out to be complicated, since there ...

• $A_1$ theory of weights for rough homogeneous singular integrals and commutators 

  Pérez C.; Rivera-Ríos I.P.; Roncal L. (2016-07-01)

  Quantitative $A_1-A_\infty$ estimates for rough homogeneous singular integrals $T_{\Omega}$ and commutators of $BMO$ symbols and $T_{\Omega}$ are obtained. In particular the following estimates are proved: \[ \|T_\Omega ...

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