논문KCI 등재
Local well-posedness for the nonlinear Schr[문자]dinger equation with harmonic potential in H^s
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We establish the local well-posedness for the Cauchy problem of the nonlinear Schr[문자]dinger equation with harmonic potential in H^s(R^n), where s∈R, s>0.
Abstract
We establish the local well-posedness for the Cauchy problem of the nonlinear Schr[문자]dinger equation with harmonic potential in H^s(R^n), where s∈R, s>0.
참고문헌 (8)
- J. Bergh, "Interpolation Spaces" (1976), Springer
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- R. Carles, "Remarks on nonlinear Schrodinger equations with harmonic potential", Ann. Henri Poincare, 3(4), pp.757~772 (2002)
- T. Cazenave, "Semilinear Schrodinger Equations, Courant Lecture Notes in Mathemat-ics, 10. New York University, Courant Institute of Mathematical Sciences", American Mathematical Society, Providence, RI, ~ (2003)
- T. Cazenave, "An Introduction to Semilinear Evolution Equation" (1998), Claren- don Press
- T. Cazenave, "The Cauchy Problem for the Critical Nonlinear Schrodinger Equations in Hs", Nonlinear Anal, 14(10), pp.807~836 (1990)
- Y. G. Oh, "Cauchy problem and Ehrenfest's law of nonlinear Schrodinger equations with potentials", J. Differential Equations, 81(2), pp.255~274 (1989)
- E. M. Stein, "Singular Integrals and Differentiability Properties of Functions" (1970), Princeton University Press
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