MR2589664
Ryo IKEHATA, Grozdena TODOROVA and Borislav YORDANOV
Ryo IKEHATA, Grozdena TODOROVA and Borislav YORDANOV
Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
Funkcialaj Ekvacioj. Serio Internacia
52
2009
411--435
http://fe.math.kobe-u.ac.jp/FE/FullPapers/52-3/52_411.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2589664
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.
Damped wave equation, Subcritical potential, Energy decay, $L^2$-decay, Small data, Global existence and blow-up, Finite propagation speed.
Primary 35L70; Secondary 35L05, 35B33, 35B40.
52-411
2009
Critical Exponent for Semilinear Wave Equations with Space-Dependent Potential
Ryo IKEHATA, Grozdena TODOROVA and Borislav YORDANOV
Ryo IKEHATA, Grozdena TODOROVA and Borislav YORDANOV
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