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math.AP2002★ 6 cited
On the existence of the Moller wave operator for wave equations with small dissipative terms
Jens Wirth
The aim of this short note is to reconsider and to extend a former result of K. Mochizuki on the existence of the scattering operator for wave equations with small dissipative term…
math.AP2002
Solution Representations for a Wave Equation with Weak Dissipation
Jens Wirth
We consider the Cauchy problem for the weakly dissipative wave equation $$ \bx v+\fracμ{1+t}v_t=0, \qquad x\in\R^n,\quad t\ge 0, $$ parameterized by , and prove a representati…