Title of article :
Global existence of solutions for semilinear damped wave equations in Rimage with noncompactly supported initial data
Original Research Article
Author/Authors :
Ryo Ikehata، نويسنده , , Kensuke Tanizawa، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Pages :
20
From page :
1189
To page :
1208
Abstract :
We consider the N-dimensional Cauchy problem in RNRN for a semilinear damped wave equation with a power-type nonlinearity |u|p|u|p. For a noncompactly supported initial data, which has a small energy, we shall derive a global in time existence result in the case when the power of the nonlinear term satisfies 1+2/N
Keywords :
Semilinear damped wave equation , Noncompactly supported initial data , N–D Cauchy problem , Global existence , critical exponent , Small energy
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Serial Year :
2005
Journal title :
Nonlinear Analysis Theory, Methods & Applications
Record number :
858912
Link To Document :
