Nondecreasing solutions to doubly nonlinear equations

Goro Akagi; Ulisse Stefanelli

doi:10.1007/978-3-319-64489-9_2

Nondecreasing solutions to doubly nonlinear equations

Goro Akagi, Ulisse Stefanelli

理学研究科・数学専攻

研究成果: Conference contribution

抄録

Nondecreasing evolution is described via the coupling of an abstract doubly nonlinear differential inclusion and a constraint on the rate. The latter is formulated by imposing the monotonicity in time of the solution with respect to a given preorder in a Hilbert space. We discuss a solution notion for this problem and prove existence and long-time behavior.

本文言語	English
ホスト出版物のタイトル	Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi
編集者	Angelo Favini, Jurgen Sprekels, Pierluigi Colli, Elisabetta Rocca, Giulio Schimperna, Jurgen Sprekels
出版社	Springer International Publishing
ページ	31-53
ページ数	23
ISBN（印刷版）	9783319644882
DOI	https://doi.org/10.1007/978-3-319-64489-9_2
出版ステータス	Published - 2017
イベント	INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, OCERTO 2016 - Cortona, Italy 継続期間: 2016 6月 20 → 2016 6月 24

出版物シリーズ

名前	Springer INdAM Series
巻	22
ISSN（印刷版）	2281-518X
ISSN（電子版）	2281-5198

Other

Other	INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, OCERTO 2016
国/地域	Italy
City	Cortona
Period	16/6/20 → 16/6/24

ASJC Scopus subject areas

数学 (全般)

文献へのアクセス

10.1007/978-3-319-64489-9_2

他のファイルとリンク

引用スタイル

Akagi, G., & Stefanelli, U. (2017). Nondecreasing solutions to doubly nonlinear equations. In A. Favini, J. Sprekels, P. Colli, E. Rocca, G. Schimperna, & J. Sprekels (Eds.), Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi (pp. 31-53). (Springer INdAM Series; Vol. 22). Springer International Publishing. https://doi.org/10.1007/978-3-319-64489-9_2

Nondecreasing solutions to doubly nonlinear equations. / Akagi, Goro; Stefanelli, Ulisse.

Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi. ed. / Angelo Favini; Jurgen Sprekels; Pierluigi Colli; Elisabetta Rocca; Giulio Schimperna; Jurgen Sprekels. Springer International Publishing, 2017. p. 31-53 (Springer INdAM Series; Vol. 22).

研究成果: Conference contribution

Akagi, G & Stefanelli, U 2017, Nondecreasing solutions to doubly nonlinear equations. in A Favini, J Sprekels, P Colli, E Rocca, G Schimperna & J Sprekels (eds), Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi. Springer INdAM Series, vol. 22, Springer International Publishing, pp. 31-53, INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, OCERTO 2016, Cortona, Italy, 16/6/20. https://doi.org/10.1007/978-3-319-64489-9_2

Akagi G, Stefanelli U. Nondecreasing solutions to doubly nonlinear equations. In Favini A, Sprekels J, Colli P, Rocca E, Schimperna G, Sprekels J, editors, Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi. Springer International Publishing. 2017. p. 31-53. (Springer INdAM Series). doi: 10.1007/978-3-319-64489-9_2

Akagi, Goro ; Stefanelli, Ulisse. / Nondecreasing solutions to doubly nonlinear equations. Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi. editor / Angelo Favini ; Jurgen Sprekels ; Pierluigi Colli ; Elisabetta Rocca ; Giulio Schimperna ; Jurgen Sprekels. Springer International Publishing, 2017. pp. 31-53 (Springer INdAM Series).

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abstract = "Nondecreasing evolution is described via the coupling of an abstract doubly nonlinear differential inclusion and a constraint on the rate. The latter is formulated by imposing the monotonicity in time of the solution with respect to a given preorder in a Hilbert space. We discuss a solution notion for this problem and prove existence and long-time behavior.",

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note = "Funding Information: Acknowledgements This paper is dedicated to Prof. Gianni Gilardi on occasion of his 70th birthday. GA is partially supported by JSPS KAKENHI Grant Number 16H03946 and by the Alexander von Humboldt Foundation and by the Carl Friedrich von Siemens Foundation. US acknowledges the support of the Austrian Science Fund (FWF) projects F 65, P 27052, and I 2375 and by the Vienna Science and Technology Fund (WWTF) Project MA14-009. The authors are indebted to the anonymous Referee for the careful reading of the manuscript. Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, OCERTO 2016 ; Conference date: 20-06-2016 Through 24-06-2016",

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Nondecreasing solutions to doubly nonlinear equations

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出版物シリーズ

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ASJC Scopus subject areas

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