Niklas L. P. Lundström

activity

20132026

most citedMeeting yield and conservation objectives by balancing harvesting of juveniles and adults

3 citations · 4 across the 8 of their papers we have counts for

collaborators

11 papers

math.AP2026

Sharp decay estimates for subsolutions of fully nonlinear equations in thin domains

John Fabricius, Niklas L. P. Lundström

We reduce the problem of establishing pointwise upper decay estimates in thin domains for viscosity subsolutions of fully nonlinear partial differential equations to solving a one-…

math.DS2023

Analytical approximations of Lotka-Volterra integrals

Niklas L. P. Lundström, Gunnar J. Söderbacka

In this note we derive simple analytical bounds for solutions of $x - ln x = y - ln y$ and use them for estimating trajectories following Lotka-Volterra-type integrals. We show ho…

math.AP2021

Estimates of $p$ -harmonic functions in planar sectors

Niklas L. P. Lundström, Jesper Singh

Suppose that $p \in (1, \infty]$ , $ν \in [1/2, \infty)$ , $S_{ν} = {(x_{1}, x_{2}) \in R^{2} ∖ {(0, 0)} : ∣ ϕ ∣ < \frac{π}{2 ν}}$ , where $ϕ$ is the polar ang…

math.AP2021

Systems of fully nonlinear parabolic obstacle problems with Neumann boundary conditions

Niklas L. P. Lundström, Marcus Olofsson

We prove the existence of a unique viscosity solution to certain systems of fully nonlinear parabolic partial differential equations with interconnected obstacles in the setting of…

math.AP2020

Strong maximum principle and boundary estimates for nonhomogeneous elliptic equations

Niklas L. P. Lundström, Marcus Olofsson, Olli Toivanen

We give a simple proof of the strong maximum principle for viscosity subsolutions of fully nonlinear elliptic PDEs on the form $F (x, u, D u, D^{2} u) = 0$ under suitable structure con…

q-bio.PE2017★ 3 cited

Meeting yield and conservation objectives by balancing harvesting of juveniles and adults

Niklas L. P. Lundström, Nicolas Loeuille, Xinzhu Meng +2

Sustainable yields that are at least 80% of the maximum sustainable yield are sometimes referred to as pretty good yield (PGY). The range of PGY harvesting strategies is generally…

math.AP2017

Existence, uniqueness and regularity of solutions to systems of nonlocal obstacle problems related to optimal switching

Niklas L. P. Lundström, Marcus Olofsson, Thomas Önskog

We study viscosity solutions to a system of nonlinear degenerate parabolic partial integro-differential equations with interconnected obstacles. This type of problem occurs in the…

math.DS2017

Estimates of size of cycle in a predator-prey system

Niklas L. P. Lundström, Gunnar Söderbacka

We consider a Rosenzweig-MacArthur predator-prey system which incorporates logistic growth of the prey in the absence of predators and a Holling type II functional response for int…

math.AP2015

Stochastic and partial differential equations on non-smooth time-dependent domains

Niklas L. P. Lundström, Thomas Önskog

In this article, we consider non-smooth time-dependent domains and single-valued, smoothly varying directions of reflection at the boundary. In this setting, we first prove existen…

math.AP2014

The boundary Harnack inequality for variable exponent $p$ -Laplacian, Carleson estimates, barrier functions and $p (\cdot)$ -harmonic measures

Tomasz Adamowicz, Niklas Lundström

We investigate various boundary decay estimates for $p (\cdot)$ -harmonic functions. For domains in $R^{n}, n \geq 2$ satisfying the ball condition ( $C^{1, 1}$ -domains) we show…

math.OC2013★ 1 cited

Systems of variational inequalities for non-local operators related to optimal switching problems: Existence and uniqueness

Niklas L. P. LundstrÖm, Kaj NystrÖm, Marcus Olofsson

In this paper we study a system of variational inequalities where the operator is non-local, possibly degenerate and of second order. A special case of this type of problem occurs…