TY - JOUR
T1 - On the existence of a global classical solution of the boundary value problem for □u-μu=aum=0 in the interior domain
AU - Kubo, Akisato
PY - 1998/6
Y1 - 1998/6
N2 - In this paper we consider the boundary value problem for a semilinear equation □u(t,x)-μu(t,x)+aum(t,x)=0, μ>0, a∈R in the interior domain.We find a time global classical solution with exponential decay property by using singular hyperbolic equation.
AB - In this paper we consider the boundary value problem for a semilinear equation □u(t,x)-μu(t,x)+aum(t,x)=0, μ>0, a∈R in the interior domain.We find a time global classical solution with exponential decay property by using singular hyperbolic equation.
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U2 - 10.1002/(SICI)1099-1476(199806)21:9<781::AID-MMA969>3.0.CO;2-6
DO - 10.1002/(SICI)1099-1476(199806)21:9<781::AID-MMA969>3.0.CO;2-6
M3 - Article
AN - SCOPUS:0032098134
SN - 0170-4214
VL - 21
SP - 781
EP - 795
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 9
ER -