References
- Giga , Y , Inui , K and Matsui , Sh . 1999 . On the Cauchy problem for the Navier–Stokes equations with nondecaying initial data . Quad. Mat. , 4 : 27 – 68 .
- Sawada , O and Taniuchi , Y . 2004 . On the Boussinesq flow with nondecaying initial data . Funkcial. Ekvac. , 47 : 225 – 250 .
- Maremonti , P . 2009 . Stokes and Navier–Stokes problems in a half-space: The existence and uniqueness of solutions a priori nonconvergent to a limit at infinity . J. Math. Sci. , 159 : 486 – 523 .
- Maremonti , P . 2009 . On the uniqueness of bounded weak solutions to the Navier–Stokes Cauchy problem . Mat. Vesn. , 61 : 81 – 91 .
- Galdi , GP and Maremonti , P . 1986 . A uniqueness theorem for viscous fluid motions in exterior domains . Arch. Ration. Mech. Anal. , 91 : 375 – 384 .
- Galdi , GP and Rionero , S . 1983 . On the best conditions on the gradient of pressure for uniqueness of viscous flows in the whole space . Pac. J. Math. , 104 : 77 – 83 .
- Solonnikov , VA . 1973 . Estimates for solutions to the nonstationary Navier–Stokes equations . Zap. Nauch. Sem. LOMI , 38 : 153 – 231 .
- Muratori , P . 1971 . Su un problema esterno relativo alle equazioni di Navier–Stokes . Rend. Semin. Mat. Univ. Padova , 46 : 53 – 100 .
- Giga , Y , Inui , K , Kato , J and Matsui , Sh . 2001 . Remarks on the uniqueness of bounded solutions to the Navier–Stokes equations . Nonlinear Anal. , 47 : 4151 – 4156 .
- Kato , J . 2003 . The uniqueness of nondecaying solutions for the Navier–Stokes equations . Arch. Ration. Mech. Anal. , 169 : 159 – 175 .
- Prodi , G . 1959 . Un teorema di unicità per le equazioni di Navier–Stokes . Ann. Mat. Pura Appl. , 48 : 173 – 182 .
- Serrin , J . 1963 . “ The initial value problem for the Navier–Stokes equations ” . In Nonlinear Problems , Edited by: Langer , RE . 69 – 98 . Madison : University of Wisconsin Press .
- Hille , E and Phillips , RS . 1957 . Functional analysis and semi-groups, American Mathematical Society , Vol. 31 , Providence, RI : Colloquiun Publications .
- Stein , EM . 1970 . Singular Integrals and Differentiability Properties of Functions , Princeton : Princeton University Press .
- Stein , EM . 1993 . Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals , Princeton : Princeton University Press .
- Tsai , T-P . 1998 . On Leray's self-similar solutions of the Navier–Stokes equations satisfying local energy estimates . Arch. Ration. Mech. Anal. , 143 : 29 – 51 .
- Guenther , RB and Thomann , EA . 2007 . Fundamental solutions of Stokes and Oseen problem in two spatila dimensions . J. Math. Fluid Mech. , 9 : 489 – 505 .