A functional analytic approach towards nonlinear dissipative well-posed systems

Birgit Jacob; Heiko J. Zwart

A functional analytic approach towards nonlinear dissipative well-posed systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For linear systems this is well known and the resulting class of well-posed and regular linear systems is well studied. Our approach is based on the theory of nonlinear semigroup and we explain it by means of an example, namely equations of quasi-hyperbolic type.

Original language	English
Title of host publication	MTNS 2004
Subtitle of host publication	Proceedings 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, 5-9 July 2004
Editors	Bart de Moor, Bart Motmans, Jan C. Willems, Paul Van Dooren, Vincent D. Blondel
Place of Publication	Leuven
Publisher	Katholieke Universiteit Leuven
Number of pages	8
ISBN (Print)	9056825178
Publication status	Published - 2004
Event	16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium Duration: 5 Jul 2004 → 9 Jul 2004 Conference number: 16

Conference

Conference	16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004
Abbreviated title	MTNS
Country/Territory	Belgium
City	Leuven
Period	5/07/04 → 9/07/04

Keywords

MSC-93C25
EWI-16808

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Jacob, Birgit ; Zwart, Heiko J. / A functional analytic approach towards nonlinear dissipative well-posed systems. MTNS 2004: Proceedings 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, 5-9 July 2004. editor / Bart de Moor ; Bart Motmans ; Jan C. Willems ; Paul Van Dooren ; Vincent D. Blondel. Leuven : Katholieke Universiteit Leuven, 2004.

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abstract = "The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For linear systems this is well known and the resulting class of well-posed and regular linear systems is well studied. Our approach is based on the theory of nonlinear semigroup and we explain it by means of an example, namely equations of quasi-hyperbolic type.",

keywords = "MSC-93C25, EWI-16808",

author = "Birgit Jacob and Zwart, {Heiko J.}",

year = "2004",

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isbn = "9056825178",

editor = "{de Moor}, Bart and Bart Motmans and Willems, {Jan C.} and {Van Dooren}, Paul and Blondel, {Vincent D.}",

booktitle = "MTNS 2004",

publisher = "Katholieke Universiteit Leuven",

note = "16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004, MTNS ; Conference date: 05-07-2004 Through 09-07-2004",

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Jacob, B & Zwart, HJ 2004, A functional analytic approach towards nonlinear dissipative well-posed systems. in B de Moor, B Motmans, JC Willems, P Van Dooren & VD Blondel (eds), MTNS 2004: Proceedings 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, 5-9 July 2004. Katholieke Universiteit Leuven, Leuven, 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004, Leuven, Belgium, 5/07/04.

A functional analytic approach towards nonlinear dissipative well-posed systems. / Jacob, Birgit; Zwart, Heiko J.
MTNS 2004: Proceedings 16th International Symposium on Mathematical Theory of Networks and Systems, Leuven, Belgium, 5-9 July 2004. ed. / Bart de Moor; Bart Motmans; Jan C. Willems; Paul Van Dooren; Vincent D. Blondel. Leuven: Katholieke Universiteit Leuven, 2004.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A functional analytic approach towards nonlinear dissipative well-posed systems

AU - Jacob, Birgit

AU - Zwart, Heiko J.

N1 - Conference code: 16

PY - 2004

Y1 - 2004

N2 - The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For linear systems this is well known and the resulting class of well-posed and regular linear systems is well studied. Our approach is based on the theory of nonlinear semigroup and we explain it by means of an example, namely equations of quasi-hyperbolic type.

AB - The aim of this paper is to develop a functional analytic approach towards nonlinear systems. For linear systems this is well known and the resulting class of well-posed and regular linear systems is well studied. Our approach is based on the theory of nonlinear semigroup and we explain it by means of an example, namely equations of quasi-hyperbolic type.

KW - MSC-93C25

KW - EWI-16808

M3 - Conference contribution

SN - 9056825178

BT - MTNS 2004

A2 - de Moor, Bart

A2 - Motmans, Bart

A2 - Willems, Jan C.

A2 - Van Dooren, Paul

A2 - Blondel, Vincent D.

PB - Katholieke Universiteit Leuven

CY - Leuven

T2 - 16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004

Y2 - 5 July 2004 through 9 July 2004

ER -

A functional analytic approach towards nonlinear dissipative well-posed systems

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