지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 1 - 7 (7page)
이용수
초록· 키워드
오류제보하기
We consider the initial value problem of the Schr\"odinger equation for an interesting Cauchy-Euler type operator $\mathscr R$ on $\C^n$ that is an analogue of the harmonic oscillator in $\R^n$. We get an appropriate $L^{1} - L^{\infty}$ dispersive estimate for the solution of the initial value problem.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
V. Bargmann / 1961 / On a Hilbert space of analytic functions and an associated integral transform I / Comm. Pure Appl. Math 14:187~214
H. R. Cho / 2017 / Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces / Journal of Function Spaces 2017:6
K.-J. Engel / 2000 / One-Parameter Semigroups for Linear Evolution Equations / Springer-Verlag
R. P. Feynman / 1965 / Quantum mechanics and path integrals / McGraw-Hill
A. K. Nandakumaran / 2005 / Schr¨odinger equation and the oscillatory semigroup for the Hermite operator / J. Funct. Anal 224:371~385
H. R. Cho / 2017 / Boundedness of the Segal-Bargmann Transform on Fractional Hermite-Sobolev Spaces / Journal of Function Spaces 2017:6
K.-J. Engel / 2000 / One-Parameter Semigroups for Linear Evolution Equations / Springer-Verlag
R. P. Feynman / 1965 / Quantum mechanics and path integrals / McGraw-Hill
A. K. Nandakumaran / 2005 / Schr¨odinger equation and the oscillatory semigroup for the Hermite operator / J. Funct. Anal 224:371~385
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
THE SCHR\"ODINGER EQUATION FOR AN EULER OPERATOR ON FOCK SPACES
East Asian Mathematical Journal
2024 .09
-
On the approximation by regular potentials of Schr\"odinger operators with point interactions
대한수학회지
2020 .01
-
COVARIANT MAPS FOR THE SCHR¨ODINGER-WEIL REPRESENTATION
대한수학회보
2015 .01
-
Multiplicity of positive solutions of a Schr\"odinger-type elliptic equation
East Asian Mathematical Journal
2024 .05
-
Quasilinear Schr\"{o}dinger equations for the Heisenberg ferromagnetic spin chain
대한수학회보
2024 .03
-
Absolute continuity of the magnetic Schr\"odinger operator with periodic potential
한국수학논문집
2018 .01
-
Semiclassical asymptotics of infinitely many solutions for the infinite case of a nonlinear Schr\"odinger equation with critical frequency
대한수학회보
2022 .01
-
Small data scattering of Hartree type fractional Schr\"odinger equations in dimension 2 and 3
대한수학회지
2018 .01
-
Infinitely many solutions for fractional Schr\"odinger equation with superquadratic conditions or combined nonlinearities
대한수학회지
2020 .01
-
Infinitely many small energy solutions for equations involving the fractional Laplacian in $\mathbb R^{N}$
대한수학회지
2018 .01
-
TEMPORAL REGULARITY OF THE EULER EQUATIONS
충청수학회지
2015 .01
-
Estimates for the Riesz transforms associated with Schr\"odinger type operators on the Heisenberg group
대한수학회보
2022 .09
-
EXISTENCE AND CONCENTRATION RESULTS FOR KIRCHHOFF-TYPE SCHR¨O DINGER SYSTEMS WITH STEEP POTENTIAL WELL
대한수학회보
2015 .01
-
EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A SCHRO ̈DINGER-TYPE SINGULAR FALLING ZERO PROBLEM
East Asian Mathematical Journal
2023 .05
-
Error estimates for a Galerkin method for a coupled nonlinear Schr\"{o}dinger equations
대한수학회보
2020 .01
-
Matrix transformations and compact operators on the binomial sequence spaces
한국수학논문집
2019 .01
-
ODEs related with some nonlocal Schr\"{o}dinger equations and its applications
대한수학회논문집
2019 .01
-
Regularity of the generalized Poisson operator
대한수학회지
2022 .01
-
COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF COMPLEX ORDER TYPE β
Nonlinear Functional Analysis and Applications
2018 .12
이 논문의 저자 정보
최근 본 자료
댓글(0)
0