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RISS 인기검색어

Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations

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https://www.riss.kr/link?id=A107521388

저자

Choi, Woocheol ; Hong, Younghun ; Seok, Jinmyoung
발행기관
Elsevier
학술지명
Journal of functional analysis
권호사항

Vol.274 No.3 [2018]
발행연도
2018
작성언어
-
주제어

Nonrelativistic limit ; Pseudo-relativistic operator ; Semilinear elliptic ; Ground state
등재정보
SCOPUS,SCIE
자료형태
학술저널
수록면

695-722(28쪽)
제공처
ScienceON

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다국어 초록 (Multilingual Abstract)

Abstract In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity [FORMULA OMISSION] where c denotes the speed of light. We prove that as c → ∞ the ground states of this equation converges to the ground state of its nonrelativistic counterpart [FORMULA OMISSION] with convergence rate 1 / c 2 in every H s norms. Moreover, we show that this rate is optimal.

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Abstract In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity [FORMULA OMISSION] where <I&...

Abstract In this paper, we are concerned with the nonrelativistic limit of the following pseudo-relativistic equation with Hartree nonlinearity or power type nonlinearity [FORMULA OMISSION] where c denotes the speed of light. We prove that as c → ∞ the ground states of this equation converges to the ground state of its nonrelativistic counterpart [FORMULA OMISSION] with convergence rate 1 / c 2 in every H s norms. Moreover, we show that this rate is optimal.