Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations

DOI10.21136/am.1990.104403zbMath0737.35040OpenAlexW2734714059MaRDI QIDQ3970314

Eduard Feireisl

Publication date: 25 June 1992

Full work available at URL: https://eudml.org/doc/15624

zbMATH Keywords

vanishing viscosity methodcompensated compactness theorynonlinear telegraph equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (4)

Weakly damped quasilinear wave equation: existence of time-periodic solutions ⋮ On bounded and time-periodic solutions of nonlinear wave equations ⋮ Invariant regions associated with quasilinear damped wave equations ⋮ Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Cites Work

• Convergence of approximate solutions to conservation laws
• Time periodic smooth solutions of hyperbolic quasi-linear equations with dissipation term and their approximation by parabolic equations
• La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
• Global existence for quasi-linear dissipative wave equations with large data and small parameter
• Geometric theory of semilinear parabolic equations
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Small time periodic solutions of fully nonlinear telegraph equations in more spatial dimensions
• Time-periodic solutions of telegraph equations in $n$ spatial variables
• Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity
• Compensated Compactness and General Systems of Conservation Laws
• Periodic solutions of nonlinear hyperbolic partial differential equations. II
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Compensated compactness and time-periodic solutions to non-autonomous quasilinear telegraph equations