- Beale , T. , Kato , T. and Majda , A. 1984 . Remarks on the breakdown of smooth solutions for the 3-d Euler equations . Commun. Math. Phys. , 94 : 61 – 66 .
- Benfatto , G. , Esposito , R. and Pulvirenti , M. 1985 . Planar Navier-Stokes flow for singular initial data . Nonlinear Anal. , 9 : 533 – 545 .
- Bony , J. 1981 . Calcul symbolique et propagation des singularities pour les equations aux derivees nonlineaires . Ann. Sci. Ecole Norm. Sup. , 14 : 209 – 246 .
- Bourdaud , G. 1988 . Une algebre maximale d'operateurs pseudodifferentiels . Commm. PDE , 13 : 1059 – 1083 .
- Caffarelli , L. , Kohn , R. and Nirenberg , L. 1982 . partial regularity of suitable weak solutions of the Navier-stokes equations . Comm. Pure Appl. Math. , 35 : 771 – 831 .
- J. Y. Chemin Remarques sur l'existence globale pour le systeme de Navier-Stokes incompressible Preprint
- Cotter , G. 1986 . “ Equations de Navier-Stokes dans le plan avec tourbillion initial mesure ” . In C. R. Acad. Sci. , 1 Vol. 303 , 105 – 108 . Paris
- DiPerna , R. and Majda , A. 1987 . Concentrations in regularizations for 2-D incompressible flow . Comm. Pure Appl. Math. , 16 : 301 – 345 .
- Ebin , D. 1984 . A concise presentation of the Euler equations of hydrodynamics . Comm. PDE , 9 : 539 – 559 .
- Ebin , D. and Marsden , J. 1970 . Groups of diffeomorphisms and the motion of an incompressible fluid . Annals of Math. , 2 : 102 – 163 .
- Fabes , E. , Jones , B. F. and Riviere , N. 1972 . The initial boundary problem for the Navier-Stokes equation with data in Lp . Arch. Rat. Mech. Anal. , 45 : 22 – 240 .
- J. Y.Chemin Remarques sur l'existence globale pour le systeme de Navier-Stokes incompressible Preprint p. Federbush Navier and Stokes meet the wavelet Preprint
- Fefferman , C. and Stein , E. 1972 . Hp spaces of several variables . ACta Math. , 129 : 137 – 193 .
- Fujita , H. and Kato , T. 1964 . On the Navier-Stokes initial value problem . Arch. Rat. Mech. Anal. , 16 : 269 – 315 .
- Giga , Y. and Miyakawa , T. 1989 . Navier-Stokes flow in R3 with measures as initial vorticity and Morrey spaces . Comm. PDE , 14 : 577 – 618 .
- Giga , Y. , Miyakawa , T. and Osada , H. 1988 . Two-dimensional Navier-Stokes flow with measures as initial vorticity . Arch. Rat. Mech. Anal. , 104 : 223 – 250 .
- Hörmander , L. 1986-87 . “ Non-linear Hyperbolic Differential Equations$title:Lectures Notes ” . In Lectures Notes , LUnd Univ. .
- Il'in , A. 1991 . The Navier-Stokes and Euler equations on two-dimensiona closed manifolds . Math. USSR Sbornik , 69 : 559 – 579 .
- Kato , T. 1984 . Strong Lp-solutions of the Navier-Stokes equation in Rm, with applications to weak solution . Math. Zeit. , 187 : 471 – 480 .
- J. Y. Chemin Remarques sur l'existence globale pour le systeme de Navier-Stokes incompressible Preprint p. Federbush Navier and Stokes meet the wavelet Preprint T. kato Strong solutions of the Navier-Stokes equation in Morrey spaces Preprint
- Majda , A. “ Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables ” . In Appl. Math. Sci.
- Meyer , Y. 1981 . Remarques sur un theoreme de J. M. Bony . Rend. del Circolo mat. di palermo , : 1 – 20 . (Suppl. II:I)
- Nagase , M. 1977 . The Lp boundedness of pseudodifferential operators with nonregular symbols . Comm. PDE , 2 : 1045 – 1061 .
- Peetre , J. 1966 . On convolution operators leaving Lp,λ spaces invariant . Ann. Mat. Pura Appl. , 72 : 295 – 304 .
- Peetre , J. 1969 . On the theory of L$sub:p,λ spaces . J. Funct. Anal. , 4 : 71 – 87 .
- Serrin , J. 1959 . “ Mathematical principles of classical fluid dynamics ” . In Encly. of Physics , Vol. 8 , 125 – 263 . Springer-Verlag .
- Stein , E. 1972 . “ Singular Integrals and Pseudo-differential Operators ” . In Graduate Lecture Notes , Princeton Univ. .
- Taylor , M. 1981 . “ Pseudodifferential Operators ” . Princeton Univ. Press .
- Taylor , M. 1991 . “ Pseudodifferential Operators and Nonlinear PDE ” . Boston : Birkhauser .
Analysis on Morrey Spaces and Applications to Navier-Stokes and Other Evolution Equations
Reprints and Corporate Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
To request a reprint or corporate permissions for this article, please click on the relevant link below:
Academic Permissions
Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?
Obtain permissions instantly via Rightslink by clicking on the button below:
If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.
Related research
People also read lists articles that other readers of this article have read.
Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.
Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.