메뉴 건너뛰기




Volumn 96, Issue 3, 1998, Pages 371-392

Sobolev - Morrey spaces related to an ultraparabolic equation

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0032105547     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050072     Document Type: Article
Times cited : (72)

References (26)
  • 1
    • 0030160959 scopus 로고    scopus 로고
    • p estimates for some ultraparabolic operators with discontinuous coefficients
    • p estimates for some ultraparabolic operators with discontinuous coefficients. J. Math. Anal. Appl. 200, 332-354 (1996)
    • (1996) J. Math. Anal. Appl. , vol.200 , pp. 332-354
    • Bramanti, M.1    Cerutti, M.C.2    Manfredini, M.3
  • 2
    • 0001425629 scopus 로고
    • Espaces des fonctions à variation moyenne bornée sur un espace de nature homogène
    • Burger, N.: Espaces des fonctions à variation moyenne bornée sur un espace de nature homogène. C. R. Acad. Sc. Paris 286, 139-142 (1978)
    • (1978) C. R. Acad. Sc. Paris , vol.286 , pp. 139-142
    • Burger, N.1
  • 3
    • 0001973459 scopus 로고
    • Proprietà di inclusione per spazi di Morrey
    • Campanato, S.: Proprietà di inclusione per spazi di Morrey. Ricerche Mat. 12, 67-86 (1963)
    • (1963) Ricerche Mat. , vol.12 , pp. 67-86
    • Campanato, S.1
  • 4
    • 0002121327 scopus 로고
    • Stochastic problems in phisics and astronomy
    • Chandrasekhar, C.: Stochastic problems in phisics and astronomy, Rev. Modern Phys. 15, 1-89 (1943)
    • (1943) Rev. Modern Phys. , vol.15 , pp. 1-89
    • Chandrasekhar, C.1
  • 5
    • 0000427184 scopus 로고
    • 2,p estimates for non divergence elliptic equations with discontinuous coefficients
    • 2,p estimates for non divergence elliptic equations with discontinuous coefficients. Ric. Mat. 40, 149-168 (1991)
    • (1991) Ric. Mat. , vol.40 , pp. 149-168
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 6
    • 0001443744 scopus 로고
    • Hölder continuity of the solutions for operators which are a sum of squares of vector fields plus a potential
    • Citti, G. and Di Fazio, G.: Hölder continuity of the solutions for operators which are a sum of squares of vector fields plus a potential. Proc. Am. Math. Soc. 122, 741-750 (1994)
    • (1994) Proc. Am. Math. Soc. , vol.122 , pp. 741-750
    • Citti, G.1    Di Fazio, G.2
  • 8
    • 0001016104 scopus 로고
    • Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients
    • Di Fazio, G. and Ragusa, M.A.: Interior estimates in Morrey spaces for strong solutions to nondivergence form equations with discontinuous coefficients. J. Funct. Anal. 112,2, 241-256 (1993)
    • (1993) J. Funct. Anal. , vol.1122 , pp. 241-256
    • Di Fazio, G.1    Ragusa, M.A.2
  • 9
    • 0000876740 scopus 로고
    • Subelliptic estimates and function spaces on nilpotent Lie groups
    • Folland, G.B.: Subelliptic estimates and function spaces on nilpotent Lie groups. Arkiv for Math. 13, 161-207 (1975)
    • (1975) Arkiv for Math. , vol.13 , pp. 161-207
    • Folland, G.B.1
  • 11
    • 0013494232 scopus 로고
    • Criteri di compattezza per insiemi di funzioni in n variabili indipendenti
    • Greco, D.: Criteri di compattezza per insiemi di funzioni in n variabili indipendenti. Ricerche Mat. 1, 124-144 (1952)
    • (1952) Ricerche Mat. , vol.1 , pp. 124-144
    • Greco, D.1
  • 12
    • 84972555264 scopus 로고
    • The Poincaré inequality for vector fields satisfying Hörmander's condition
    • Jerison, D.: The Poincaré inequality for vector fields satisfying Hörmander's condition. Duke Math. J. 53, 503-523 (1986)
    • (1986) Duke Math. J. , vol.53 , pp. 503-523
    • Jerison, D.1
  • 13
    • 0038291069 scopus 로고
    • Fundamental solutions for a class of second-order elliptic-parabolic equations
    • Kuptsov, L.P.: Fundamental solutions for a class of second-order elliptic-parabolic equations. Differentcial'nye Uravnenija 8, 1649-1660 (1972); English Transl. Differential Equations 8, 1269-1278 (1972)
    • (1972) Differentcial'nye Uravnenija , vol.8 , pp. 1649-1660
    • Kuptsov, L.P.1
  • 14
    • 0011513008 scopus 로고
    • Kuptsov, L.P.: Fundamental solutions for a class of second-order elliptic-parabolic equations. Differentcial'nye Uravnenija 8, 1649-1660 (1972); English Transl. Differential Equations 8, 1269-1278 (1972)
    • (1972) English Transl. Differential Equations , vol.8 , pp. 1269-1278
  • 15
    • 0013559995 scopus 로고
    • Mean value theorem and a maximum principle for Kolmogorov's equation
    • Kuptsov, L.P.: Mean value theorem and a maximum principle for Kolmogorov's equation. Mat. Zametki 15, 479-489 (1974); English Transl. Math. Notes 15, 280-286 (1974)
    • (1974) Mat. Zametki , vol.15 , pp. 479-489
    • Kuptsov, L.P.1
  • 16
    • 0013526896 scopus 로고
    • Kuptsov, L.P.: Mean value theorem and a maximum principle for Kolmogorov's equation. Mat. Zametki 15, 479-489 (1974); English Transl. Math. Notes 15, 280-286 (1974)
    • (1974) English Transl. Math. Notes , vol.15 , pp. 280-286
  • 18
    • 0013501093 scopus 로고
    • Embedding theorems on Campanato-Morrey spaces for vector fields and applications
    • Lu, G.: Embedding theorems on Campanato-Morrey spaces for vector fields and applications. C. R. Acad. Sc. Paris 320, 429-434 (1995)
    • (1995) C. R. Acad. Sc. Paris , vol.320 , pp. 429-434
    • Lu, G.1
  • 19
    • 0013492713 scopus 로고    scopus 로고
    • The Dirichlet problem for a class of ultraparabolic equations
    • Manfredini, M.: The Dirichlet problem for a class of ultraparabolic equations. (to appear on Differential Integral Equations)
    • Differential Integral Equations
    • Manfredini, M.1
  • 20
    • 0004355864 scopus 로고    scopus 로고
    • Interior regularity for weak solutions of ultraparabolic equations in divergence form with discontinuous coefficients
    • Manfredini, M. and Polidoro, S.: Interior regularity for weak solutions of ultraparabolic equations in divergence form with discontinuous coefficients. To appear on Boll. Un. Mat. Ital.
    • Boll. Un. Mat. Ital.
    • Manfredini, M.1    Polidoro, S.2
  • 21
    • 0003203092 scopus 로고
    • On a class of ultraparabolic operators of Kolmogorov-Fokker-Planck type
    • Polidoro, S.: On a class of ultraparabolic operators of Kolmogorov-Fokker-Planck type. Le Matematiche 49, 53-105 (1994)
    • (1994) Le Matematiche , vol.49 , pp. 53-105
    • Polidoro, S.1
  • 22
    • 0031335250 scopus 로고    scopus 로고
    • A global lower bound for the fundamental solution of Kolmogorov-Fokker-Planck equations
    • Polidoro, S.: A global lower bound for the fundamental solution of Kolmogorov-Fokker-Planck equations. To appear on Arch. Rational Mech. Anal.
    • Arch. Rational Mech. Anal.
    • Polidoro, S.1
  • 23
    • 0000789455 scopus 로고
    • Uniqueness and representation theorems for solutions of Kolmogorov-Fokker-Planck equations
    • Polidoro, S.: Uniqueness and representation theorems for solutions of Kolmogorov-Fokker-Planck equations. Rendiconti di Matematica, VII, 15, 535-560 (1995)
    • (1995) Rendiconti di Matematica, VII , vol.15 , pp. 535-560
    • Polidoro, S.1
  • 24
    • 84946916764 scopus 로고
    • On functions of vanishing mean oscillation
    • Sarason, D.: On functions of vanishing mean oscillation. Trans. Am. Math. Soc. 207, 391-405 (1975)
    • (1975) Trans. Am. Math. Soc. , vol.207 , pp. 391-405
    • Sarason, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.