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Wave equation with p(x,t)-Laplacian and damping term: existence and blow-up

S. N. Antont︠s︡ev

Differential Equations & Applications · 2011 · 97 citations · 30 references

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Abstract

In this work, we consider the Dirichlet problem for equation

References

30

Existence of a Solution of the Wave Equation with Nonlinear Damping and Source Terms

Vladimir Georgiev, Grozdena Todorova · Journal of Differential Equations · 1994 · 583 citations

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Progress in nonlinear differential equations and their applications, Vol. 80

Stig–Olof Londen, Wolfgang Desch · 2011 · 403 citations

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Biow‐up of solutions of some nonlinear hyperbolic equations

Tosio Kato · Communications on Pure and Applied Mathematics · 1980 · 227 citations

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Density of Smooth Functions in Sobolev-Orlicz Spaces

Journal of Mathematical Sciences · 2005 · 137 citations

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Blow-up of solutions to parabolic equations with nonstandard growth conditions

S. N. Antont︠s︡ev, Sergey Shmarev · Journal of Computational and Applied Mathematics · 2010 · 135 citations · Full text

, , +7