On the wave operator for dissipative potentials with small imaginary part
نویسندگان
چکیده
منابع مشابه
On the wave operator for dissipative potentials with small imaginary part
We determine the range of the incoming wave operator for the pair of operators (−∆,−∆+V1(x)−iεV2(x)) on L (R) under the conditions n ≥ 3 and 0 is a regular point of −∆ + V1, V2 ≥ 0 and ε > 0 is small enough. This implies that the dissipative scattering operator is bijective.
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The aim of this short note is to reconsider and to extend a former result of K. Mochizuki [Moc76], [MN96] on the existence of the scattering operator for wave equations with small dissipative terms. Contrary to the approach used by Mochizuki we construct the wave operator explicitly in terms of the parametrix construction obtained by a (simplified) diagonalization procedure, cf. [Yag97]. The me...
متن کامل2 00 2 On the existence of the Møller wave operator for wave equations with small dissipative terms
The aim of this short note is to reconsider and to extend a former result of K. Mochizuki [Moc76], [MN96] on the existence of the scattering operator for wave equations with small dissipative terms. Contrary to the approach used by Mochizuki we construct the wave operator explicitly in terms of the parametrix construction obtained by a (simplified) diagonalization procedure, cf. [Yag97]. The me...
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In this paper, it is shown that the linearized Boltzmann-Enskog collision operator cannot be dissipative in the L2-space setting contrarily to the linearized Boltzmann operator. Some estimates useful for the spectral theory are given. The Enskog equation is a modification of the Boltzmann kinetic equation, in which each particle is considered as a hard sphere with nonzero diameter a > 0 (and th...
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2014
ISSN: 0921-7134
DOI: 10.3233/asy-131190