article
Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations
published
yes
Wolf-Jürgen
Beyn
author 12477
Jens
Rottmann-Matthes
author 170578
10020
department
110284488
department
In many applications such as the stability analysis of traveling waves, it is important to know the spectral properties of a linear differential operator on the whole real line. We investigate the approximation of this operator and its spectrum by finite interval boundary value problems from an abstract point of view. Under suitable assumptions on the boundary operators, we prove that the approximations converge regularly (in the sense of discrete approximations) to the all line problem, which has strong implications for the behavior of resolvents and spectra. As an application, we obtain resolvent estimates for abstract coupled hyperbolic - parabolic equations. Furthermore, we show that our results apply to the FitzHugh - Nagumo system.
Taylor & Francis Inc.2007
eng
theory of discrete approximationsestimatesboundary value problemsresolventtraveling wavesunbounded domainshyperbolic-parabolic systems
Numerical Functional Analysis and Optimization
0163-0563
00024734400000510.1080/01630560701348475
285-6603-629
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Beyn, W.-J. & Rottmann-Matthes, J. (2007). Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em>, <em>28</em>(5-6), 603-629. Taylor & Francis Inc. doi:10.1080/01630560701348475.</div>
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Beyn, Wolf-Jürgen, and Rottmann-Matthes, Jens. 2007. “Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations”. <em>Numerical Functional Analysis and Optimization </em> 28 (5-6): 603-629.</div>
Beyn W-J, Rottmann-Matthes J (2007) <br />Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations.<br />Numerical Functional Analysis and Optimization 28(5-6): 603-629.
Beyn, W. - J., and Rottmann-Matthes, J. (2007). Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em> 28, 603-629.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Beyn, W. - J., & Rottmann-Matthes, J. (2007). Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em>, <em>28</em>(5-6), 603-629. doi:10.1080/01630560701348475</div>
W. - J. Beyn, and J. Rottmann-Matthes, “Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations”, <em>Numerical Functional Analysis and Optimization </em>, <strong>2007</strong>, <em>28</em>, 603-629.
Beyn W-J, Rottmann-Matthes J (2007) <br /><em>Numerical Functional Analysis and Optimization </em> 28(5-6): 603-629.
Beyn, W. - J., & Rottmann-Matthes, J. (2007). Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em>, <em>28</em>(5-6), 603-629. doi:10.1080/01630560701348475
Beyn W-J, Rottmann-Matthes J. Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em>. 2007;28(5-6):603-629.
W.-J. Beyn and J. Rottmann-Matthes, “Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations”, <em>Numerical Functional Analysis and Optimization </em>, vol. 28, 2007, pp. 603-629.
Beyn, W.-J., & Rottmann-Matthes, J., 2007. Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. <em>Numerical Functional Analysis and Optimization </em>, 28(5-6), p 603-629.
Beyn, Wolf-Jürgen, and Rottmann-Matthes, Jens. “Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations”. <em>Numerical Functional Analysis and Optimization </em> 28.5-6 (2007): 603-629.
Beyn, W. - J.; Rottmann-Matthes, J. (2007): Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations <em>Numerical Functional Analysis and Optimization </em>,28:(5-6): 603-629.
Beyn, W.-J., Rottmann-Matthes, J.: Resolvent estimates for boundary value problems on large intervals via the theory of discrete approximations. Numerical Functional Analysis and Optimization . 28, 603-629 (2007).
15934402010-04-28T12:15:52Z2019-06-28T09:16:30Z