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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 대한수학회 대한수학회보 대한수학회보 제58권 제6호
- 발행연도
- 2021.11
- 수록면
- 1,445 - 1,461 (17page)
- DOI
- 10.4134/BKMS.b201040
이용수
초록· 키워드
오류제보하기
The aim of this paper is to show the local well-posedness of 2 dimensional Dirac equations with power type and Hartree type nonlinearity derived from honeycomb structure in $H^s$ for $s>\frac78$ and $s>\frac38$, respectively. We also provide the smoothness failure of flows of Dirac equations.
목차
등록된 정보가 없습니다.
참고문헌 (27)
참고문헌 신청
Jack Arbunich / 2018 / Rigorous derivation of nonlinear Dirac equations for wave propagation in honeycomb structures / Journal of Mathematical Physics 59(1):011509
O. Bahat-Treidel / 2008 / Symmetry breaking in honeycomb photonic lattices / Opt. Lett 33:2251~2253
Ioan Bejenaru / 2016 / The cubic Dirac equation: small initial data in H 12 (R2) / Communications in Mathematical Physics 343(2):515~562
Ioan Bejenaru / 2006 / Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation / Journal of Functional Analysis 233(1):228~259
J. Bourgain / 1993 / Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations / Geometric and Functional Analysis 3(2):107~156
O. Bahat-Treidel / 2008 / Symmetry breaking in honeycomb photonic lattices / Opt. Lett 33:2251~2253
Ioan Bejenaru / 2016 / The cubic Dirac equation: small initial data in H 12 (R2) / Communications in Mathematical Physics 343(2):515~562
Ioan Bejenaru / 2006 / Sharp well-posedness and ill-posedness results for a quadratic non-linear Schrödinger equation / Journal of Functional Analysis 233(1):228~259
J. Bourgain / 1993 / Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations / Geometric and Functional Analysis 3(2):107~156
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