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On the analyticity and the unique continuation theorem for solutions of the Navier-Stokes equations. (English) Zbl 0204.26901


MSC:

35Q30 Navier-Stokes equations
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References:

[1] Serrin, J.: The initial value problem for the Navier-Stokes equations. Nonlinear Problems, ed. Langer. The University of Wiscons · Zbl 0115.08502
[2] Fujita, H., and Kato, T.: On the Navier-Stokes initial value problem. I. Arch. Rat. Mech. Anal., 16, 269-315 (1964). · Zbl 0126.42301 · doi:10.1007/BF00276188
[3] Schwartz, L.: Theorie des Distributions. I. Hermann, Paris (1950). · Zbl 0037.07301
[4] Browder, F.: Functional analysis and partial differential equations. II. Math. Ann., 145, 81-226 (1962). · Zbl 0103.31602 · doi:10.1007/BF01342796
[5] Morrey, C: On the analyticity of the solutions of analytic nonlinear elliptic systems of partial differential equations. Amer. J. Math., 80, 198-237 (1958). JSTOR: · Zbl 0081.09402 · doi:10.2307/2372830
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