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Global existence of small solutions to nonlinear evolution equations. (English) Zbl 0518.35046

MSC:
35G10 Initial value problems for linear higher-order PDEs
35K25 Higher-order parabolic equations
35B20 Perturbations in context of PDEs
34G20 Nonlinear differential equations in abstract spaces
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[1] Klainerman, S, Global existence for nonlinear wave equations, Comm. pure appl. math., 33, 43-101, (1980) · Zbl 0405.35056
[2] \scS. Klainerman, Long time behaviour of solution to nonlinear evolution equations, preprint. · Zbl 0581.35052
[3] Marshall, B; Strauss, W.A; Wainger, S, Lp − lq estimates for the Klein-Gordon equation, J. math. pures appl., 59, 417-440, (1980) · Zbl 0457.47040
[4] strauss, W.A, Nonlinear scattering theory, (), 53-78 · Zbl 0297.35062
[5] Strauss, W.A, Nonlinear invariant wave equations, (), 197-249
[6] Strauss, W.A, Nonlinear scattering theory at low energy, J. funct. anal., 41, 110-133, (1981) · Zbl 0466.47006
[7] Strichartz, R.S, Convolutions with kernels having singularities on a sphere, Trans. amer. math. soc., 148, 461-471, (1970) · Zbl 0199.17502
[8] \scS. Klainerman and Gustavo Ponce, Global small amplitude solutions to nonlinear evolution equations, preprint. · Zbl 0509.35009
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