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Volumn 72, Issue , 1997, Pages 299-310

On growth in time of Sobolev norms of smooth solutions of nonlinear Schrödinger equations in ℝd

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EID: 0040151809     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02843163     Document Type: Article
Times cited : (16)

References (7)
  • 1
    • 34250084341 scopus 로고
    • Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, i: Schrödinger equations
    • J. Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, I: Schrödinger equations, Geom. Funct. Anal. 3 (1993), 107-156.
    • (1993) Geom. Funct. Anal. , vol.3 , pp. 107-156
    • Bourgain, J.1
  • 2
    • 1842450240 scopus 로고    scopus 로고
    • On the growth in time of higher sobolev norms of smooth solutions of hamiltonian pde
    • J. Bourgain, On the growth in time of higher Sobolev norms of smooth solutions of Hamiltonian PDE, Internat. Math. Res. Notices (1996), 277-304.
    • (1996) Internat. Math. Res. Notices , pp. 277-304
    • Bourgain, J.1
  • 3
    • 0002487390 scopus 로고    scopus 로고
    • Quadratic forms for a 2d semilinear schrödinger equation
    • G. Staffilani, Quadratic forms for a 2D semilinear Schrödinger equation, Duke Math. J. 86 (1997), 79-108.
    • (1997) Duke Math. J. , vol.86 , pp. 79-108
    • Staffilani, G.1
  • 4
    • 0041157182 scopus 로고    scopus 로고
    • On the growth of high sobolov norms of solutions for kdv and schrödinger equations
    • G. Staffilani, On the growth of high Sobolov norms of solutions for KdV and Schrödinger equations, Duke Math. J. 86 (1997), 109-142.
    • (1997) Duke Math. J. , vol.86 , pp. 109-142
    • Staffilani, G.1
  • 5
    • 0000320001 scopus 로고
    • Decay and scattering of solutions of a nonlinear schrödinger equation
    • J. Lin and W. Strauss, Decay and scattering of solutions of a nonlinear Schrödinger equation, J. Funct. Anal. 30 (1978), 245-263.
    • (1978) J. Funct. Anal. , vol.30 , pp. 245-263
    • Lin, J.1    Strauss, W.2
  • 6
    • 0001008929 scopus 로고
    • On the ivp for the nonlinear schrödinger equation
    • Harmonic Analysis and Operator Theory
    • C. Kenig, G. Ponce and L. Vega, On the IVP for the nonlinear Schrödinger equation, in Harmonic Analysis and Operator Theory, Contemp. Math. (1995), 353-368.
    • (1995) Contemp. Math. , pp. 353-368
    • Kenig, C.1    Ponce, G.2    Vega, L.3
  • 7
    • 84968511090 scopus 로고
    • The asymptotic behaviour of nonlinear schrödinger equations
    • Y. Tsutsumi and K. Yajima, The asymptotic behaviour of nonlinear Schrödinger equations, Bull. Amer. Math. Soc. 11 (1984), 176-188.
    • (1984) Bull. Amer. Math. Soc. , vol.11 , pp. 176-188
    • Tsutsumi, Y.1    Yajima, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.