Solutions to nonlinear elliptic equations with a nonlocal boundary condition
Electronic Journal of Differential Equations, 2002 We study an elliptic equation and its evolution problem on a bounded domain with nonlocal boundary conditions. Eigenvalue problems, existence, and dynamic behavior of solutions for linear and semilinear equations are investigated.
Yuandi Wang
doaj
Global stability of a predator-prey model with Beddington–DeAngelis and Tanner functional response
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper, we study the global stability of a predator–prey system with Beddington–DeAngelis and Tanner functional response. By using the iteration method and comparison principle, we prove the global asymptotic stability of the unique positive ...
Nai-Wei Liu, Na Li
doaj +1 more source
Global well-posedness of the MHD equations via the comparison principle [PDF]
arXiv, 2017 In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain $R^k\times T^{d-k}, d\geq2,k\geq1$ by using the comparison principle and constructing the comparison function.
arxiv
Minimal wave speed of traveling wavefronts in delayed Belousov-Zhabotinskii model
Electronic Journal of Qualitative Theory of Differential Equations, 2012 This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing proper upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker ...
Shuxia Pan, Jie Liu
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A matrix analysis approach to discrete comparison principles for nonmonotone PDE [PDF]
arXiv, 2017 We consider a linear algebra approach to establishing a discrete comparison principle for a nonmonotone class of quasilinear elliptic partial differential equations. In the absence of a lower order term, we require local conditions on the mesh to establish the comparison principle and uniqueness of the piecewise linear finite element solution.
arxiv
Electronic Journal of Differential Equations, 2012 We prove a comparison principle for solutions of the Cauchy problem of the nonlinear pseudoparabolic equation $u_t=Delta u_t+ Deltavarphi(u) +h(t,u)$ with nonnegative bounded initial data.
Tatiana Kavitova
doaj
Comparison and maximum principles for a class of flux-limited diffusions with external force fields [PDF]
arXiv, 2015 In this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This equation without external force fields has been derived recently by means of optimal transportation theory. We first provide an argument to incorporate the external force fields. Then we are concerned
arxiv
The effect of multi‐leaf collimator leaf width on VMAT treatment plan quality
Journal of Applied Clinical Medical Physics, EarlyView.Abstract Background The advent of volumetric modulated arc therapy (VMAT) in radiotherapy has made it one of the most commonly used techniques in clinical practice. VMAT is the delivery of intensity modulated radiation therapy (IMRT) while the gantry is in motion, and existing literature has shown it has decreased treatment delivery times and the ...
Gregory Sadharanu Peiris +3 more
wiley +1 more source
Parabolic Biased Infinity Laplacian Equation Related to the Biased Tug-of-War
Advanced Nonlinear Studies, 2019 In this paper, we study the parabolic inhomogeneous β-biased infinity Laplacian equation arising from the β-biased tug-of ...
Liu Fang, Jiang Feida
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On mesh restrictions to satisfy comparison principles, maximum principles, and the non-negative constraint: Recent developments and new results [PDF]
arXiv, 2015 This paper concerns with mesh restrictions that are needed to satisfy several important mathematical properties -- maximum principles, comparison principles, and the non-negative constraint -- for a general linear second-order elliptic partial differential equation.
arxiv