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1D Hyperbolic Systems with Nilinear Boundary Conditions I: L2 - Generalized Solution Full article

Conference 13th International Society for Analysis, it’s Applications and Computation Congress
02-06 Aug 2021 , Гент
Source Analysis, Application and Communications, Isaac 2021, Trend in Mathematic(s)
Compilation, Birkhauser. Cham.2023. 9 c.
Journal Trends in Mathematics
ISSN: 2297-0215 , E-ISSN: 2297-024X
Output data Year: 2023, Pages: 455-463 Pages count : 9 DOI: 10.1007/978-3-031-36375-7_35
Authors Lyul`ko Natalya 1,2
Affiliations
1 Sobolev Institute of Mathematics, Russian Academy of Sciences
2 Novosibirsk State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0008

Abstract: We consider 1D nonautonomous initial boundary value problems for general linear first-order hyperbolic systems with nonlinear boundary conditions. For initial upper L squared L2-data, we prove existence and uniqueness of upper L squared L2-generalized solutions if the nonlinearities are Lipschitz continuous.
Cite: Lyul`ko N.
1D Hyperbolic Systems with Nilinear Boundary Conditions I: L2 - Generalized Solution
In compilation Analysis, Application and Communications, Isaac 2021, Trend in Mathematic(s). – Birkhauser., 2023. – C.455-463. DOI: 10.1007/978-3-031-36375-7_35 Scopus OpenAlex
Dates:
Published print: Oct 31, 2023
Published online: Oct 31, 2023
Identifiers:
Scopus: 2-s2.0-85176609542
OpenAlex: W4388019165
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