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1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions. / Lyul’ko, Natalya.

Trends in Mathematics. Springer Science and Business Media Deutschland GmbH, 2023. p. 455-463 35 (Trends in Mathematics; Vol. Part F1649).

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

Harvard

Lyul’ko, N 2023, 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions. in Trends in Mathematics., 35, Trends in Mathematics, vol. Part F1649, Springer Science and Business Media Deutschland GmbH, pp. 455-463, The 32nd International Symposium on Algorithms and Computation, Fukuoka, Japan, 06.12.2021. https://doi.org/10.1007/978-3-031-36375-7_35

APA

Lyul’ko, N. (2023). 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions. In Trends in Mathematics (pp. 455-463). [35] (Trends in Mathematics; Vol. Part F1649). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-36375-7_35

Vancouver

Lyul’ko N. 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions. In Trends in Mathematics. Springer Science and Business Media Deutschland GmbH. 2023. p. 455-463. 35. (Trends in Mathematics). doi: 10.1007/978-3-031-36375-7_35

Author

Lyul’ko, Natalya. / 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions. Trends in Mathematics. Springer Science and Business Media Deutschland GmbH, 2023. pp. 455-463 (Trends in Mathematics).

BibTeX

@inproceedings{8a4794e2c3ef46f1b16193998b9a0e46,
title = "1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions",
abstract = "We consider 1D nonautonomous initial boundary value problems for general linear first-order hyperbolic systems with nonlinear boundary conditions. For initial L2 -data, we prove existence and uniqueness of L2 -generalized solutions if the nonlinearities are Lipschitz continuous.",
author = "Natalya Lyul{\textquoteright}ko",
note = "Natalya Lyul{\textquoteright}ko was supported by the state contract of the Sobolev Institute of Mathematics, Project No. FWNF-2022-0008.; The 32nd International Symposium on Algorithms and Computation, ISAAC 2021 ; Conference date: 06-12-2021 Through 08-12-2021",
year = "2023",
doi = "10.1007/978-3-031-36375-7_35",
language = "English",
isbn = "978-3-031-36374-0",
series = "Trends in Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "455--463",
booktitle = "Trends in Mathematics",
address = "Germany",
url = "https://tcs.inf.kyushu-u.ac.jp/isaac2021/",

}

RIS

TY - GEN

T1 - 1D Hyperbolic Systems with Nonlinear Boundary Conditions I: L2 -Generalized Solutions

AU - Lyul’ko, Natalya

N1 - Conference code: 32

PY - 2023

Y1 - 2023

N2 - We consider 1D nonautonomous initial boundary value problems for general linear first-order hyperbolic systems with nonlinear boundary conditions. For initial L2 -data, we prove existence and uniqueness of L2 -generalized solutions if the nonlinearities are Lipschitz continuous.

AB - We consider 1D nonautonomous initial boundary value problems for general linear first-order hyperbolic systems with nonlinear boundary conditions. For initial L2 -data, we prove existence and uniqueness of L2 -generalized solutions if the nonlinearities are Lipschitz continuous.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85176609542&origin=inward&txGid=af5b397cb7ed3c7f11dad983886a4bc9

UR - https://www.mendeley.com/catalogue/159eb7a9-0fd7-3b9e-9252-6a6aaaa61a05/

U2 - 10.1007/978-3-031-36375-7_35

DO - 10.1007/978-3-031-36375-7_35

M3 - Conference contribution

SN - 978-3-031-36374-0

T3 - Trends in Mathematics

SP - 455

EP - 463

BT - Trends in Mathematics

PB - Springer Science and Business Media Deutschland GmbH

T2 - The 32nd International Symposium on Algorithms and Computation

Y2 - 6 December 2021 through 8 December 2021

ER -

ID: 59232783