On weak solutions for hyperbolic differential inclusion with discontinuous nonlinearities

DOI10.1016/S0362-546X(03)00216-5zbMath1032.35144OpenAlexW2069814331MaRDI QIDQ1413257

Sun Hye Park, Jong Yeoul Park, Hyun-Min Kim

Publication date: 16 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00216-5

zbMATH Keywords

mixed problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs with multivalued right-hand sides (35R70) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (13)

On solutions for a hyperbolic system with differential inclusion and memory source term on the boundary ⋮ Optimal control problems for hyperbolic equations with damping terms involving p-Laplacian ⋮ Existence of solutions and optimal control problems for hyperbolic hemivariational inequalities ⋮ Existence and asymptotic stability of solutions for hyperbolic differential inclusions with a source term ⋮ Global and blow-up solutions for a system of nonlinear hyperbolic equations with dissipative terms ⋮ Existence and general decay for nondissipative hyperbolic differential inclusions with acoustic/memory boundary conditions ⋮ Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary ⋮ Regularity of parabolic hemivariational inequalities with boundary conditions ⋮ Boundary stabilization of hyperbolic hemivariational inequalities ⋮ Attractors for a class of Kirchhoff models with \(p\)-Laplacian and time delay ⋮ Kirchhoff-type differential inclusion problems involving the fractional Laplacian and strong damping ⋮ Energy decay rates for a hyperbolic differential inclusion with viscoelastic boundary conditions ⋮ Uniform Decay for Hyperbolic Differential Inclusion with Memory Condition at the Boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Energy decay for the quasilinear wave equation with viscosity
• Strong Solutions of a Quasilinear Wave Equation with Nonlinear Damping
• Quasilinear wave equations and related nonlinear evolution equations
• Global existence for nonlinear wave equations
• Discontinuous Semilinear Differential Equations and Multiple Valued Maps
• On parabolic hemivariational inequalities and applications
• On weak solutions for an evolution equation with exponential nonlinearities
• On a nonlinear evolution equation and its applications
• A parabolic hemivariational inequality

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