Funkcialaj Ekvacioj
Print ISSN : 0532-8721
Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
Ryo Ikehata, Grozdena Todorova, Borislav Yordanov
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Keywords: Damped wave equation, Subcritical potential, Energy decay, L2-decay, Small data, Global existence and blow-up, Finite propagation speed
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2009 Volume 52 Issue 3 Pages 411-435

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Abstract
We study the balance between the effect of spatial inhomogeneity of the potential in the dissipative term and the focusing nonlinearity. Sharp critical exponent results will be presented in the case of slow decaying potential.
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© 2009 by the Division of Functional Equations, The Mathematical Society of Japan
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