TY - JOUR
T1 - Asymptotic behavior of solutions of the mixed problem for semilinear hyperbolic equations
AU - Kubo, Akisato
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2004/3
Y1 - 2004/3
N2 - We discuss the optimality of the decay estimate of the mixed problem (MP) for semilinear hyperbolic equations of the type of the Euler-Poisson-Darboux equation. For this purpose we investigate decay properties and the lower bounds of the solutions to a boundary value problem related to (MP) as t → ∞.
AB - We discuss the optimality of the decay estimate of the mixed problem (MP) for semilinear hyperbolic equations of the type of the Euler-Poisson-Darboux equation. For this purpose we investigate decay properties and the lower bounds of the solutions to a boundary value problem related to (MP) as t → ∞.
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U2 - 10.3934/cpaa.2004.3.59
DO - 10.3934/cpaa.2004.3.59
M3 - Article
AN - SCOPUS:24944467789
SN - 1534-0392
VL - 3
SP - 59
EP - 74
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 1
ER -