An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions

DOI10.1016/j.jmaa.2007.05.062zbMath1145.47044OpenAlexW1971183046WikidataQ126254802 ScholiaQ126254802MaRDI QIDQ2473943

Naoki Tanaka, Yoshikazu Kobayashi

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.062

zbMATH Keywords

differential inclusionmild solutionmaximal solutionacoustic boundary conditioncomparison functiondissipativity conditionsemigroup of locally Lipschitz operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (10)

Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ The abstract Cauchy problem for dissipative operators with respect to metric-like functionals ⋮ Abstract Cauchy problem for weakly continuous operators ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Theoretical analysis and numerical simulation for a hyperbolic equation with Dirichlet and acoustic boundary conditions ⋮ On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions ⋮ A product formula for semigroups of Lipschitz operators associated with semilinear evolution equations of parabolic type ⋮ Operator theory in the complex Ginzburg-Landau equation ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces

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• On the relation of the operator \(\partial/\partial s+partial/\tau\) to evolution governed by accretive operators
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• The Lyapunov method for semigroups of nonlinear contractions in Banach spaces
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Semi-groups of local Lipschitzians in a Banach space
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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