메뉴 건너뛰기




Volumn 252, Issue 1, 2012, Pages 505-540

On divergence-free drifts

Author keywords

[No Author keywords available]

Indexed keywords


EID: 80054098525     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2011.08.039     Document Type: Article
Times cited : (131)

References (29)
  • 1
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • Aronson D.G. Non-negative solutions of linear parabolic equations. Ann. Sc. Norm. Super. Pisa 1968, 22:607-694.
    • (1968) Ann. Sc. Norm. Super. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 2
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • Caffarelli L., Kohn R.-V., Nirenberg L. Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math. 1982, XXXV:771-831.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.-V.2    Nirenberg, L.3
  • 3
    • 77950869887 scopus 로고    scopus 로고
    • Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
    • Caffarelli L., Vasseur A. Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation. Ann. of Math. 2010, 171:1903-1930.
    • (2010) Ann. of Math. , vol.171 , pp. 1903-1930
    • Caffarelli, L.1    Vasseur, A.2
  • 5
    • 0002412307 scopus 로고
    • Sulla dierenziabilita e l'analiticita delle estremali degli integrali multipli regolari
    • De Giorgi E. Sulla dierenziabilita e l'analiticita delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (3) 1957, 3:25-43.
    • (1957) Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. (3) , vol.3 , pp. 25-43
    • De Giorgi, E.1
  • 6
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic Harnack inequality using the old idea of Nash
    • Fabes E.B., Stroock D.W. A new proof of Moser's parabolic Harnack inequality using the old idea of Nash. Arch. Ration. Mech. Anal. 1986, 96(4):327-338.
    • (1986) Arch. Ration. Mech. Anal. , vol.96 , Issue.4 , pp. 327-338
    • Fabes, E.B.1    Stroock, D.W.2
  • 8
    • 0042738399 scopus 로고    scopus 로고
    • Growth theorems and Harnack inequality for parabolic equations
    • Ferretti E., Safonov M.V. Growth theorems and Harnack inequality for parabolic equations. Contemp. Math. 2001, vol. 277:87-112.
    • (2001) Contemp. Math. , vol.277 , pp. 87-112
    • Ferretti, E.1    Safonov, M.V.2
  • 9
    • 79953029001 scopus 로고    scopus 로고
    • Global well-posedness for an advective-diffusion equation arising in magneto-geostrophic dynamics
    • Friedlander S., Vicol V. Global well-posedness for an advective-diffusion equation arising in magneto-geostrophic dynamics. Ann. Inst. H. Poincaré Anal. Non Linéaire 2011, 28:283-301.
    • (2011) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.28 , pp. 283-301
    • Friedlander, S.1    Vicol, V.2
  • 10
    • 0000989447 scopus 로고
    • On the partial regularity of weak solutions of nonlinear parabolic systems
    • Giaquinta M., Stuwe M. On the partial regularity of weak solutions of nonlinear parabolic systems. Math. Z. 1982, 179:437-451.
    • (1982) Math. Z. , vol.179 , pp. 437-451
    • Giaquinta, M.1    Stuwe, M.2
  • 11
    • 21544468716 scopus 로고
    • The Harnack inequality for generalized solutions of second-order quasilinear parabolic equations
    • Ivanov A.V. The Harnack inequality for generalized solutions of second-order quasilinear parabolic equations. Tr. Mat. Inst. Steklova 1967, 102:51-84.
    • (1967) Tr. Mat. Inst. Steklova , vol.102 , pp. 51-84
    • Ivanov, A.V.1
  • 12
    • 80054114004 scopus 로고    scopus 로고
    • On elliptic equations with low-regularity divergence-free drift terms and the steady-state Navier-Stokes equations in higher dimensions, Thesis, University of Minnesota, 2005.
    • M. Kontovourkis, On elliptic equations with low-regularity divergence-free drift terms and the steady-state Navier-Stokes equations in higher dimensions, Thesis, University of Minnesota, 2005.
    • Kontovourkis, M.1
  • 17
    • 33746415789 scopus 로고    scopus 로고
    • Form boundedness of the general second-order differential operator
    • Mazja V.G., Verbitsky I.E. Form boundedness of the general second-order differential operator. Comm. Pure Appl. Math. 2006, LIX:1286-1329.
    • (2006) Comm. Pure Appl. Math. , vol.49 , pp. 1286-1329
    • Mazja, V.G.1    Verbitsky, I.E.2
  • 19
    • 84980078895 scopus 로고
    • A Harnack inequality for parabolic differential equations
    • Moser J. A Harnack inequality for parabolic differential equations. Comm. Pure Appl. Math. 1964, XVII:101-134.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 101-134
    • Moser, J.1
  • 20
    • 84981758541 scopus 로고
    • Correction to "A Harnack inequality for parabolic differential equations"
    • Moser J. Correction to "A Harnack inequality for parabolic differential equations". Comm. Pure Appl. Math. 1967, XX:231-236.
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 231-236
    • Moser, J.1
  • 21
    • 84980178619 scopus 로고
    • On a pointwise estimate for parabolic differential equations
    • Moser J. On a pointwise estimate for parabolic differential equations. Comm. Pure Appl. Math. 1971, XXIV:727-740.
    • (1971) Comm. Pure Appl. Math. , vol.24 , pp. 727-740
    • Moser, J.1
  • 22
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • Nash J. Continuity of solutions of parabolic and elliptic equations. Amer. J. Math. 1958, 80:931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
    • Nash, J.1
  • 23
    • 80054123009 scopus 로고    scopus 로고
    • Quantitative properties of solutions to elliptic and parabolic equations with unbounded lower-order coefficients, SPb. Math. Society Preprint 2009-05, March 2009.
    • A.I. Nazarov, O.A. Uraltseva, Quantitative properties of solutions to elliptic and parabolic equations with unbounded lower-order coefficients, SPb. Math. Society Preprint 2009-05, March 2009.
    • Nazarov, A.I.1    Uraltseva, O.A.2
  • 25
    • 0040102518 scopus 로고
    • Diffusion processes with generators of generalized divergence form
    • Osada H. Diffusion processes with generators of generalized divergence form. J. Math. Kyoto Univ. 1987, 27(4):597-619.
    • (1987) J. Math. Kyoto Univ. , vol.27 , Issue.4 , pp. 597-619
    • Osada, H.1
  • 26
    • 0033244832 scopus 로고    scopus 로고
    • Doubling properties for second order parabolic equations
    • Safonov M.V., Yuan Yu Doubling properties for second order parabolic equations. Ann. of Math. 1999, 150:313-327.
    • (1999) Ann. of Math. , vol.150 , pp. 313-327
    • Safonov, M.V.1    Yuan, Y.2
  • 27
    • 0000195746 scopus 로고
    • Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
    • Stampacchia G. Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus. Ann. Inst. Fourier (Grenoble) 1965, 15(1):189-258.
    • (1965) Ann. Inst. Fourier (Grenoble) , vol.15 , Issue.1 , pp. 189-258
    • Stampacchia, G.1
  • 28
    • 84981749879 scopus 로고
    • Pointwise estimates and quasilinear parabolic equations
    • Trudinger N.S. Pointwise estimates and quasilinear parabolic equations. Comm. Pure Appl. Math. 1968, 21:205-226.
    • (1968) Comm. Pure Appl. Math. , vol.21 , pp. 205-226
    • Trudinger, N.S.1
  • 29
    • 0842325112 scopus 로고    scopus 로고
    • A strong regularity result for parabolic equations
    • Zhang Qi S. A strong regularity result for parabolic equations. Comm. Math. Phys. 2004, 244:245-260.
    • (2004) Comm. Math. Phys. , vol.244 , pp. 245-260
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.