Global solutions for a nonlinear wave equation with the -Laplacian operator.
Gao, Hongjun, Ma, To Fu (1999)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Existence and decay of solutions of some nonlinear parabolic variational inequalities.”
Global solutions for a nonlinear wave equation with the -Laplacian operator.
Global existence and asymptotic behavior of solutions for a class of nonlinear degenerate wave equations.
Ye, Yaojun (2007)
Differential Equations & Nonlinear Mechanics
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Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory source term on the boundary
Jong Yeoul Park, Sun Hye Park (2009)
Czechoslovak Mathematical Journal
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We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.
Some -error estimates for semi-variational method applied to parabolic equations
Ivan Hlaváček (1974)
Aplikace matematiky
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Nonlinear variational inequalities of semilinear parabolic type.
Jeong, Jin-Mun, Park, Jong-Yeoul (2001)
Journal of Inequalities and Applications [electronic only]
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On a shock problem involving a nonlinear viscoelastic bar.
Nguyen Thanh Long, Pham Ngoc Dinh, Alain, Tran Ngoc Diem (2005)
Boundary Value Problems [electronic only]
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Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation
Jong Yeoul Park, Sun Hye Park (2006)
Czechoslovak Mathematical Journal
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We consider the damped semilinear viscoelastic wave equation with nonlocal boundary dissipation. The existence of global solutions is proved by means of the Faedo-Galerkin method and the uniform decay rate of the energy is obtained by following the perturbed energy method provided that the kernel of the memory decays exponentially.