메뉴 건너뛰기




Volumn 27, Issue 1-2, 2002, Pages 325-354

On the local well-posedness of quasilinear Schrödinger equations in arbitrary space dimension

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0036384737     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1081/PDE-120002789     Document Type: Article
Times cited : (46)

References (18)
  • 1
    • 0000592648 scopus 로고
    • Nonlinear electromagnetic spin waves
    • Bass, F.G.; Nasanov, N.N. Nonlinear Electromagnetic Spin Waves. Physics Reports 1990, 189, 165-223.
    • (1990) Physics Reports , vol.189 , pp. 165-223
    • Bass, F.G.1    Nasanov, N.N.2
  • 2
    • 0001062105 scopus 로고
    • Dynamical modulation of an ultrashort high-intensity laser pulse in matter
    • Borovskii, A.V.; Galkin, A.L. Dynamical Modulation of an Ultrashort High-Intensity Laser Pulse in Matter. JETP 1993, 77(4), 562-573.
    • (1993) JETP , vol.77 , Issue.4 , pp. 562-573
    • Borovskii, A.V.1    Galkin, A.L.2
  • 3
    • 0033196604 scopus 로고    scopus 로고
    • Scattering problem and asymptotics for a relativistic nonlinear schrödinger equation
    • de Bouard, A.; Hayashi, N.; Naumkin, P.I.; Saut, J.C. Scattering Problem and Asymptotics for a Relativistic Nonlinear Schrödinger Equation. Nonlinearity 1999, 12, 1415-1425.
    • (1999) Nonlinearity , vol.12 , pp. 1415-1425
    • De Bouard, A.1    Hayashi, N.2    Naumkin, P.I.3    Saut, J.C.4
  • 4
    • 0009101525 scopus 로고    scopus 로고
    • Global existence of small solutions to a relativistic nonlinear Schrödinger equation
    • de Bouard, A.; Hayashi, N.; Saut, J.C. Global Existence of Small Solutions to a Relativistic Nonlinear Schrödinger Equation. Comm. Math. Phys. 1997, 189, 73-105.
    • (1997) Comm. Math. Phys. , vol.189 , pp. 73-105
    • De Bouard, A.1    Hayashi, N.2    Saut, J.C.3
  • 6
    • 0010602797 scopus 로고    scopus 로고
    • Thèse de l' Université Paris-Sud. In Preparation
    • Colin, M. Thèse de l' Université Paris-Sud. In Preparation.
    • Colin, M.1
  • 7
    • 0002172263 scopus 로고
    • On a class of nonlinear Schrödinger equations I,II
    • Ginibre, J.; Velo, G. On a Class of Nonlinear Schrödinger Equations I,II. J. Funct. Anal. 1979, 32, 1-71.
    • (1979) J. Funct. Anal. , vol.32 , pp. 1-71
    • Ginibre, J.1    Velo, G.2
  • 8
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation revisited
    • Ginibre, J.; Velo, G.; The Global Cauchy Problem for the Nonlinear Schrödinger Equation Revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire 1985, 4, 309-327.
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.4 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 9
    • 0001391618 scopus 로고
    • Upper hybrid solitons and oscillating two-stream instabilities
    • Goldman, M.V.; Porkolab, M. Upper Hybrid Solitons and Oscillating Two-Stream Instabilities. Physics of Fluids 1976, 19, 872-881.
    • (1976) Physics of Fluids , vol.19 , pp. 872-881
    • Goldman, M.V.1    Porkolab, M.2
  • 10
    • 0002845638 scopus 로고
    • A general method for the solution of nonlinear soliton and kink Schrödinger equations
    • Hasse, R.W. A General Method for the Solution of Nonlinear Soliton and Kink Schrödinger Equations. Z. Physik B 1980, 37, 83-87.
    • (1980) Z. Physik B , vol.37 , pp. 83-87
    • Hasse, R.W.1
  • 11
    • 84972513512 scopus 로고
    • Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation
    • Hayashi, N.; Ozawa, T. Global, Small Radially Symmetric Solutions to Nonlinear Schrödinger Equations and a Gauge Transformation. Diff. and Integral Eqs. 1995, 8, 1061-1072.
    • (1995) Diff. and Integral Eqs. , vol.8 , pp. 1061-1072
    • Hayashi, N.1    Ozawa, T.2
  • 12
    • 0001404168 scopus 로고
    • On nonlinear Schrödinger equations
    • Kato, T. On Nonlinear Schrödinger Equations. Ann. IHP. Physique Théorique 1987, 46, 113-129.
    • (1987) Ann. IHP. Physique Théorique , vol.46 , pp. 113-129
    • Kato, T.1
  • 14
    • 0000667684 scopus 로고
    • One dimensional collapse of plasma waves
    • Litvak, A.G.; Sergeev, A.M. One Dimensional Collapse of Plasma Waves. JETP, Letters 1978, 27, 517-520.
    • (1978) JETP, Letters , vol.27 , pp. 517-520
    • Litvak, A.G.1    Sergeev, A.M.2
  • 15
    • 0002415555 scopus 로고
    • Non-linear effects in quasi-one-dimensional models of condensed matter theory
    • Makhankov, V.G.; Fedyanin, V.K. Non-Linear Effects in Quasi-One-Dimensional Models of Condensed Matter Theory. Physics Reports 1984, 104, 1-86.
    • (1984) Physics Reports , vol.104 , pp. 1-86
    • Makhankov, V.G.1    Fedyanin, V.K.2
  • 16
    • 0010603204 scopus 로고    scopus 로고
    • On the local well posedness of quasilinear Schrödinger equations in arbitrary space dimension
    • Poppenberg, M. On the Local Well Posedness of Quasilinear Schrödinger Equations in Arbitrary Space Dimension. To appear in J. Differential Equations.
    • J. Differential Equations
    • Poppenberg, M.1
  • 17
    • 0000205519 scopus 로고
    • Relativistic self-focusing and channel formation in laser-plasma interactions
    • Ritchie, B. Relativistic Self-Focusing and Channel Formation in Laser-Plasma Interactions. Phys. Rev. 1994, 50(2), 687-689.
    • (1994) Phys. Rev. , vol.50 , Issue.2 , pp. 687-689
    • Ritchie, B.1
  • 18
    • 38249038489 scopus 로고
    • Global strong solutions for nonlinear Schrödinger equations
    • Tsutsumi, Y. Global Strong Solutions for Nonlinear Schrödinger Equations. Nonlinear Anal. T.M.A. 1987, 11, 1143-1154.
    • (1987) Nonlinear Anal. T.M.A. , vol.11 , pp. 1143-1154
    • Tsutsumi, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.