Time Dependent Representations of the Stationary Wave Operators for 'Oscillating' Long-Range Potentials

Mochizuki, Kiyoshi; Uchiyama, Jun

doi:10.2977/prims/1195183288

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Consider the Integral2

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2017

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Cited by 4 publications

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“…Then we have another type of the invariance principle from Theorems 4.6 and 4.10 similarly as in Mochizuki-Uchiyama [15] (see also Kako [7]):…”

Section: Consider the Integralmentioning

confidence: 99%

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Scattering theory for wave equations with long-range perturbations

Iwashita¹

1985

Tsukuba J. Math.

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bations has been extensively investigated and already reached a satisfactory stage, while few have been known about long-range scattering for classical wave equations. It is well known (cf., e.g., Reed-Simon [17] and Mochizuki [14]) that the Schrodinger and classical wave equations are related by the invariance principle of Kato and Birman theory in short-range scattering and it has been expected that also in long-range scattering the invariance principle allows us to treat clas-

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“…Then we have another type of the invariance principle from Theorems 4.6 and 4.10 similarly as in Mochizuki-Uchiyama [15] (see also Kako [7]):…”

Section: Consider the Integralmentioning

confidence: 99%

“…\S 5. Proof of Lemma 4.5. This section is devoted to the proof of Theorem 4.5, which will be carried out along the ideas in $Calder6n$ -Vaillancourt [1] and Mochizuki-Uchiyama [15]. LEMMA 5.1 ).…”

Section: Consider the Integralmentioning

confidence: 99%