Departmental Bulletin Paper Asymptotic Behavior of Solutions to Damped Wave Equation with Derivative Nonlinear Terms

Narazaki, Takashi

50pp.19 - 35 , 2015-03-20 , 東海大学理学部 , Tokai University. School of Science , 東海大学出版部
ISSN:21884315
Description
In this paper we are concerned with the Cauchy problem to damped wave equation with derivative nonlinear terms. Under the restriction that the space dimension n is not greater than three we will prove that the problem admits global solution in time, provided that initial data are sufficiently small.
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