Nonlinear Schrödinger evolution equations. (English) Zbl 0451.35023


35J10 Schrödinger operator, Schrödinger equation
35K55 Nonlinear parabolic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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[1] Baillon, J. B.; Cazenave, T.; Figueira, M., Equation de Schrödinger nonlinéare, C.r. Acad. Sci., Paris, 284, 869-872 (1977) · Zbl 0349.35048
[2] CAZENAVEProc. Roy. Edinburgh; CAZENAVEProc. Roy. Edinburgh
[4] Glassey, R. T., On the blowing up of solutions to the Cauchy problem for the nonlinear Schrödinger equation, J. math. Phys., 18, 1794-1979 (1977) · Zbl 0372.35009
[5] Lin, J. E.; Strauss, W. A., Decay and scattering of solutions of a nonlinear Schrd̈inger equation, J. funct. Anal., 30, 245-263 (1978) · Zbl 0395.35070
[6] Nirenberg, L., On elliptic partial differential equations, Ann. Sci. Norm. Sup. Pisa, 13, 115-162 (1959) · Zbl 0088.07601
[7] Segal, I., Nonlinear semi-groups, Ann. Math., 78, 339-364 (1963) · Zbl 0204.16004
[8] Strauss, W. A., The nonlinear Schrödinger equation, (de la Penha, G.; Medeiros, L., Contemporary Developments in Continuum Mechanics and PDE (1978), North-Holland: North-Holland Amsterdam), 452-465
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