Effet de Kato pour un probl猫me ext茅rieur relatif 脿 une 茅quation de Schr枚dinger avec un potentiel non born茅

您所在的位置:网站首页 pointwise convergence Effet de Kato pour un probl猫me ext茅rieur relatif 脿 une 茅quation de Schr枚dinger avec un potentiel non born茅

Effet de Kato pour un probl猫me ext茅rieur relatif 脿 une 茅quation de Schr枚dinger avec un potentiel non born茅

#Effet de Kato pour un probl猫me ext茅rieur relatif 脿 une 茅quation de Schr枚dinger avec un potentiel non born茅| 来源: 网络整理| 查看: 265

[B1] Burq, N.聽: Mesures semi classiques et mesures de d茅faut, S茅minaire Bourbaki, Ast茅risque n掳2, 45 (1997) 163,178. | Numdam | MR | Zbl

[B2] Burq, N.聽: Smoothing effect for Schr枚dinger boundary value problems, Duke Math. J. 123 (2004) 403-430. | MR | Zbl

[B3] Burq, N.聽: Semi classical estimates for the resolvent in non trapping geometries, IMRN n掳5 (2002) 221-241. | MR | Zbl

[B-G] Burq N., G茅rard P.聽: Condition n茅cessaire et suffisante pour la contr么labilit茅 locale exacte des ondes CRAS Paris, 325 (1997) 749-752. | MR | Zbl

[C-S] Constantin, P., Saut, J-C.聽: Local smoothing properties of dispersive equations, Journal American Mathematical Society (1988) 413-439. | MR | Zbl

[D1] Do茂, S.聽: Smoothing effects of Schr枚dinger evolution group on Riemannian manifolds, Duke Math. J. 82 (1996) 679-706. | MR | Zbl

[D2] Do茂, S.聽: Smoothing effects for Schr枚dinger evolution equation and global behavior of geodesic flow, Math. Ann. 318 (2000) 355-389. | MR | Zbl

[D3] Do茂, S.聽: Remarks on the Cauchy problem for Schr枚dinger type equations, Comm. in pde, 21 (1996) 163-178. | MR | Zbl

[D4] Do茂, S.聽: Smoothness of solutions for Schr枚dinger equations with unbounded potential., Publ.Res.Inst.Math.Sci 41 (2005), 1, 175-221. | MR | Zbl

[G-L] G茅rard P.- Leichtnam E.聽: Ergodic properties of eigenfunctions for the Dirichlet problem, Duke Math. J. 71 n掳2 (1993) 559-607. | MR | Zbl

[K] Kato T.聽: On the Cauchy problem for the (generalized) KdV equation, Stud. Appl. Math. Adv. Math. Suppl. Stud. 8 (1983) 93-128. | MR | Zbl

[L] Lebeau, G.聽: Equation des ondes amorties , Algebraic and Geometric methods in Math. Physics. Math. Phys. Studies, Kluwer Acad. Publ. Dordrecht 19 (1996) 73-109. | MR | Zbl

[M-S] Melrose R.B., Sj枚strand J.聽: Singularities of boundary value problems I, Comm.on pure and Appl. Math. 31 n掳5 (1978) 593-617. | MR | Zbl

[M] Miller L.聽: Refraction of high frequency waves density by sharp interfaces and semi classical measures at boundary, J. Math. Pures Appl. (9) 79 n掳3 (2000) 227-269. | MR | Zbl

[R-Z] Robbiano L., Zuily C.聽: The Kato smoothing effect for Schr枚dinger equations with unbounded potentials in exterior domains. To appear.

[S] Sj枚lin P.聽: Regularity of solution to the Schr枚dinger equation, Duke Math. J. 55 (1987) 699-715. | MR | Zbl

[V] Vega L.聽: Schr枚dinger equations, pointwise convergence to the initial data, Proc. Amer. Math. Soc. 102 (1988) 874-878. | MR | Zbl

[Y] Yajima K.聽: On smoothing property of Schr枚dinger propagator, Lectures notes in Math. 1450 Springer Verlag (1990) 20-35. | MR | Zbl



【本文地址】


今日新闻


推荐新闻


CopyRight 2018-2019 办公设备维修网 版权所有 豫ICP备15022753号-3