THE CAUCHY PROBLEM FOR SCHRODINGER FLOWS INTO KAHLER MANIFOLDS

被引：18

作者：

Kenig, Carlos ^{[1
]}

Lamm, Tobias ^{[2
]}

Pollack, Daniel ^{[3
]}

Staffilani, Gigliola ^{[4
]}

Toro, Tatiana ^{[3
]}

机构：

[1] Univ Chicago, Chicago, IL 60637 USA

[2] Univ British Columbia, Vancouver, BC V5Z 1M9, Canada

[3] Univ Washington, Seattle, WA 98195 USA

[4] MIT, Cambridge, MA 02139 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 02期

基金：

美国国家科学基金会;

关键词：

Schrodinger flows; Energy Estimates; Cauchy Problem; GLOBAL EXISTENCE; LOCAL EXISTENCE; MAPS; UNIQUENESS; DYNAMICS;

D O I：

10.3934/dcds.2010.27.389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local well-posedness of the Schrodinger flow from R-n into a compact Kahler manifold N with initial data in Hs+1(R-n, N) for s >= [n/2] + 4.

引用

页码：389 / 439

页数：51

共 50 条

[31] Solvability of the Cauchy problem for certain Schrodinger operators
Takeuchi, J
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 1998, 74 (04) : 49 - 52
[32] ON THE CAUCHY PROBLEM FOR NONLINEAR SCHRODINGER EQUATIONS WITH ROTATION
Antonelli, Paolo
Marahrens, Daniel
Sparber, Christof
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (03) : 703 - 715
[33] THE CAUCHY-PROBLEM FOR SCHRODINGER TYPE EQUATIONS
KAJITANI, K
BABA, A
BULLETIN DES SCIENCES MATHEMATIQUES, 1995, 119 (05): : 459 - 473
[34] ON THE CAUCHY PROBLEM OF A COHERENTLY COUPLED SCHRODINGER SYSTEM
Wang, Zhong
Cui, Shangbin
ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 371 - 384
[35] The Cauchy problem for Schrodinger-Debye equations
Bidégaray, B
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2000, 10 (03): : 307 - 315
[36] On the homotopy types of Kahler manifolds and the birational Kodaira problem
Voisin, C
JOURNAL OF DIFFERENTIAL GEOMETRY, 2006, 72 (01) : 43 - 71
[37] On the Cauchy problem of some dissipative flows
Wang, DH
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 218 (02) : 479 - 494
[38] Magnetic Schrodinger operators with discrete spectra on non-compact Kahler manifolds
Anghel, Nicolae
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (02): : 11 - 20
[39] On the collapsing of Calabi-Yau manifolds and Kahler-Ricci flows
Li, Yang
Tosatti, Valentino
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2023, 2023 (800): : 155 - 192
[40] Random data Cauchy problem for supercritical Schrodinger equations
Thomann, Laurent
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2009, 26 (06): : 2385 - 2402

← 1 2 3 4 5 →