Acta mathematica scientia, Series B >
GLOBAL EXISTENCE AND Lp ESTIMATES FOR SOLUTIONS OF DAMPED WAVE EQUATION WITH NONLINEAR CONVECTION IN#br# MULTI-DIMENSIONAL SPACE
Received date: 2010-10-29
Revised date: 2011-04-04
Online published: 2012-05-20
Supported by
The author is supported by Shanghai Municipal Natural Science Foundation 09ZR1413500 and National Natural Science Foundation of China 11071162.
In this article, the author studies the Cauchy problem of the damped wave equation with a nonlinear convection term in multi-dimensions. The author shows that a classical solution to the Cauchy problem exists globally in time under smallness condition on the initial perturbation. Furthermore, the author obtains the Lp (2≤ p ≤ ∞) decay estimates of the solution.
CHEN Jiao . GLOBAL EXISTENCE AND Lp ESTIMATES FOR SOLUTIONS OF DAMPED WAVE EQUATION WITH NONLINEAR CONVECTION IN#br# MULTI-DIMENSIONAL SPACE[J]. Acta mathematica scientia, Series B, 2012 , 32(3) : 1167 -1180 . DOI: 10.1016/S0252-9602(12)60089-7
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