On a nonlinear wave equation in unbounded domains.
Vasconcellos, Carlos Frederico (1988)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Decay of solutions of a nonlinear hyperbolic system in noncylindrical domain.”
On a nonlinear wave equation in unbounded domains.
Remarks on the existence and decay of the nonlinear beam equation.
Muñoz Rivera, Jaime E. (1994)
International Journal of Mathematics and Mathematical Sciences
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On a nonlinear degenerate evolution equation with strong damping.
Ferreira, Jorge, Pereira, Ducival Carvalho (1992)
International Journal of Mathematics and Mathematical Sciences
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On a nonlinear wave equation with damping.
L. A. Medeiros, M. Milla Miranda (1990)
Revista Matemática de la Universidad Complutense de Madrid
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Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain.
Clark, Marcondes Rodrigues (1996)
International Journal of Mathematics and Mathematical Sciences
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Continuous dependence and general decay of solutions for a wave equation with a nonlinear memory term
Doan Thi Nhu Quynh, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2023)
Applications of Mathematics
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We study existence, uniqueness, continuous dependence, general decay of solutions of an initial boundary value problem for a viscoelastic wave equation with strong damping and nonlinear memory term. At first, we state and prove a theorem involving local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the kernel function and the nonlinear terms. Finally, under suitable...
Boundary value problems in time for wave equations on .
Smiley, M.W., Fink, A.M. (1990)
International Journal of Mathematics and Mathematical Sciences
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On weak solutions of semilinear hyperbolic-parabolic equations.
Ferreira, Jorge (1996)
International Journal of Mathematics and Mathematical Sciences
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On a global classical solution of a quasilinear hyperbolic equation.
Ebihara, Y, Pereira, D.C. (1989)
International Journal of Mathematics and Mathematical Sciences
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On a system of nonlinear wave equations with the Kirchhoff-Carrier and Balakrishnan-Taylor terms
Bui Duc Nam, Nguyen Huu Nhan, Le Thi Phuong Ngoc, Nguyen Thanh Long (2022)
Mathematica Bohemica
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We study a system of nonlinear wave equations of the Kirchhoff-Carrier type containing a variant of the Balakrishnan-Taylor damping in nonlinear terms. By the linearization method together with the Faedo-Galerkin method, we prove the local existence and uniqueness of a weak solution. On the other hand, by constructing a suitable Lyapunov functional, a sufficient condition is also established to obtain the exponential decay of weak solutions.
Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations
Yoshihiro Shibata (1993)
Commentationes Mathematicae Universitatis Carolinae
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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.