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Scattering for the Dirac-Klein-Gordon system with pseudoscalar source and resonant interaction

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대한수학회 (The Korean Mathematical Society)|2024.09|대한수학회보 (Bulletin of the KMS)|제61권 제5호|pp. 1301-1337|DOI 10.4134/BKMS.b230558

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참고문헌

키워드

Dirac-Klein-Gordon equationpartial smallnesslinear scatteringcharge conjugationpseudoscalar sourceresonant interaction
주제분류수학

초록

In this paper we revisit the Cauchy problems for the Dirac-Klein-Gordon system (DKG) with pseudoscalar source and resonant interaction. In the case of scalar source Candy and Herr \cite{candyherr, candyherr1, candyherr2} showed the linear scattering for small data or large data with initial data of partial smallness associated with charge conjugation. We apply their arguments to the partial smallness problem of (DKG) with pseudoscalar source and resonant interaction. We get a linear scattering result by exploiting null structure induced by chiral operator and angular regularity.

Abstract

In this paper we revisit the Cauchy problems for the Dirac-Klein-Gordon system (DKG) with pseudoscalar source and resonant interaction. In the case of scalar source Candy and Herr \cite{candyherr, candyherr1, candyherr2} showed the linear scattering for small data or large data with initial data of partial smallness associated with charge conjugation. We apply their arguments to the partial smallness problem of (DKG) with pseudoscalar source and resonant interaction. We get a linear scattering result by exploiting null structure induced by chiral operator and angular regularity.

참고문헌 (31)

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