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Publications Influence

Blow-up Estimates of the Positive Solution of a Parabolic System

- M. Pedersen, Zhigui Lin
- Mathematics
- 15 March 2001

This paper establishes the blow-up estimates for the systems ut − Δu = 0, vt − Δv = 0 in BR × (0, T), BR ⊂ Rn, with the nonlinear boundary conditions ∂u∂η=um1vn1 and ∂v∂η=um2vn2 on SR × (0, T) where… Expand

18 4

Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition

- M. Pedersen, Z. Lin
- Mathematics, Computer Science
- Appl. Math. Lett.
- 1 February 2001

TLDR

35 2

Coupled diffusion systems with localized nonlinear reactions

- M. Pedersen, Zhigui Lin
- Mathematics
- 1 September 2001

This paper deals with the blowup rate and profile near the blowup time for the system of diffusion equations uit − Δui = upii+1(x0, t), (i = 1, …, k, uk+1 := u1) in Ω × (0, T) with boundary… Expand

20 2

Instability induced by cross-diffusion in reaction–diffusion systems

- Canrong Tian, Zhigui Lin, M. Pedersen
- Mathematics
- 1 April 2010

Abstract In this paper the instability of the uniform equilibrium of a general strongly coupled reaction–diffusion is discussed. In unbounded domain and bounded domain the sufficient conditions for… Expand

48 1

Stability patterns for a size-structured population model and its stage-structured counterpart.

- L. Zhang, M. Pedersen, Zhigui Lin
- Biology, Medicine
- Mathematical biosciences
- 1 September 2015

In this paper we compare a general size-structured population model, where a size-structured consumer feeds upon an unstructured resource, to its simplified stage-structured counterpart in terms of… Expand

4 1- PDF

Boundary Control of Linear Evolution PDEs - Continuous and Discrete

- J. M. Rasmussen, P. Hansen, M. Pedersen
- Mathematics
- 1 November 2004

Consider a partial differential equation (PDE) of evolution type, such as the wave equation or the heat equation. Assume now that you can influence the behavior of the solution by setting the… Expand

13 1- PDF

Stability in a diffusive food-chain model with Michaelis–Menten functional response

- Zhigui Lin, M. Pedersen
- Mathematics
- 1 May 2004

Abstract This paper deals with the behavior of positive solutions to a reaction–diffusion system with homogeneous Neumann boundary conditions describing a three species food chain. A sufficient… Expand

39

Functional Analysis in Applied Mathematics and Engineering

- M. Pedersen
- Mathematics
- 29 September 1999

Topological and Metric Spaces Banach Spaces Bounded Operators Hilbert Spaces Operators in Hilbert Space Spectral Theory Integral Operators Semigroups of Evolution Sobolev Spaces Interpolation Spaces… Expand

35

Well-posedness of inverse problems for systems with time dependent parameters

- H. Banks, M. Pedersen
- Physics
- 2008

In this paper we investigate the abstract hyperbolic model with time dependent stiffness and damping given by 〈u(t), ψ〉V ∗,V + d(t; u(t), ψ) + a(t;u(t), ψ) = 〈f(t), ψ〉V ∗,V where V ⊂ VD ⊂ H ⊂ V ∗ D ⊂… Expand

6- PDF

Periodicity and blowup in a two-species cooperating model

- Zhigui Lin, J. Liu, M. Pedersen
- Mathematics
- 1 February 2011

Abstract In this paper, the cooperating two-species Lotka–Volterra model is discussed. The existence and asymptotic behavior of T -periodic solutions for the periodic reaction diffusion system under… Expand

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