Existence and regularity for a class of nonlinear hyperbolic boundary value problems.

DOI10.1006/JMAA.2001.7757zbMath1039.35059OpenAlexW2063912732WikidataQ110031931 ScholiaQ110031931MaRDI QIDQ1598431

Veli-Matti Hokkanen, Gheorghe Morosanu

Publication date: 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/bd27750fc2ac83d52ca4032aec39c19843b73be3

zbMATH Keywords

semigroup approachtelegraph systemD'Alembert formulaenonlinear boundary conditions of monotone type

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) First-order nonlinear hyperbolic equations (35L60) Groups and semigroups of linear operators (47D03) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (1)

High regularity of the solutions of the telegraph system subjected to nonlinear boundary conditions

Cites Work

• Semigroups of linear operators and applications to partial differential equations
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