메뉴 건너뛰기




Volumn 6, Issue 3, 2003, Pages 667-683

Cauchy-dirichlet problem in morrey spaces for parabolic equations with discontinuous coefficients

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3042563308     PISSN: 03924041     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (23)
  • 1
    • 0001430761 scopus 로고
    • On BMO regularity for linear elliptic systems
    • P. ACQUISTAPACE, On BMO regularity for linear elliptic systems, Ann. Mat. Pura Appl., 161 (1992), 231-269.
    • (1992) Ann. Mat. Pura Appl. , vol.161 , pp. 231-269
    • Acquistapace, P.1
  • 2
    • 0040188725 scopus 로고
    • Commutators of integral operators with positive kernels
    • M. BRAMANTI, Commutators of integral operators with positive kernels, Le Matematiche, 49 (1994), 149-168.
    • (1994) Le Matematiche , vol.49 , pp. 149-168
    • Bramanti, M.1
  • 3
    • 84871414400 scopus 로고
    • 1, 2 solvability for the Cauchy-dirichlet problem for parabolic equations with VMO coefficients
    • 1, 2 solvability for the Cauchy-Dirichlet problem for parabolic equations with VMO coefficients, Comm. in Partial Diff. Equations, 18 (1993), 1735-1763.
    • (1993) Comm. in Partial Diff. Equations , vol.18 , pp. 1735-1763
    • Bramanti, M.1    Cerutti, M.C.2
  • 4
    • 34250593672 scopus 로고
    • On the existence of certain singular integrals
    • A. P. CALDERÓN - A. ZYGMUND, On the existence of certain singular integrals, Acta. Math., 88 (1952), 85-139.
    • (1952) Acta. Math. , vol.88 , pp. 85-139
    • Calderón, A.P.1    Zygmund, A.2
  • 5
    • 0000024746 scopus 로고
    • Singular integral operators and differential equations
    • A. P. CALDERÓN - A. ZYGMUND, Singular integral operators and differential equations, Amer. J. Math., 79 (1957), 901-921.
    • (1957) Amer. J. Math. , vol.79 , pp. 901-921
    • Calderón, A.P.1    Zygmund, A.2
  • 6
    • 0038340236 scopus 로고
    • Second order nonvariational parabolic systems
    • P. CANNARSA, Second order nonvariational parabolic systems, Boll. Unions Mat. Ital., 18-C (1981), 291-315.
    • (1981) Boll. Unions Mat. Ital. , vol.18 C , pp. 291-315
    • Cannarsa, P.1
  • 7
    • 0001087864 scopus 로고
    • Morrey spaces and Hardy-littlewood maximal functions
    • F. CHIARENZA - M. FRASCA, Morrey spaces and Hardy-Littlewood maximal functions, Rend. Mat. Appl., 7 (1987), 273-279.
    • (1987) Rend. Mat. Appl. , vol.7 , pp. 273-279
    • Chiarenza, F.1    Frasca, M.2
  • 8
    • 0000427184 scopus 로고
    • 2, p estimates for nondivergence elliptic equations with discontinuous coefficients
    • 2, p estimates for nondivergence elliptic equations with discontinuous coefficients, Ric. Mat., 40 (1991), 149-168.
    • (1991) Ric. Mat. , vol.40 , pp. 149-168
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 9
    • 0001569352 scopus 로고
    • 2,p solvability of the Dirichlet problem for nondivergence form elliptic equations with VMO coefficients
    • 2,p solvability of the Dirichlet problem for nondivergence form elliptic equations with VMO coefficients, Trans. Amer. Math. Soc., 336 (1993), 841-853.
    • (1993) Trans. Amer. Math. Soc. , vol.336 , pp. 841-853
    • Chiarenza, F.1    Frasca, M.2    Longo, P.3
  • 10
    • 34347171922 scopus 로고
    • p, θ(Ω, δ) e loro proprietà
    • p, θ(Ω, δ) e loro proprietà, Ann. Mat. Pura Appl., 69 (1965), 383-392.
    • (1965) Ann. Mat. Pura Appl. , vol.69 , pp. 383-392
    • Da Prato, G.1
  • 11
    • 0038002274 scopus 로고    scopus 로고
    • Global Morrey regularity of strong solutions to Dirichlet problem for elliptic equations with discontinuous coefficients
    • G. DI FAZIO - D. K. PALAGACHEV - M. A. RAGUSA, Global Morrey regularity of strong solutions to Dirichlet problem for elliptic equations with discontinuous coefficients, J. Funct. Anal., 166 (1999), 179-196.
    • (1999) J. Funct. Anal. , vol.166 , pp. 179-196
    • Di Fazio, G.1    Palagachev, D.K.2    Ragusa, M.A.3
  • 12
    • 0002787374 scopus 로고
    • Singular integrals with mixed homogeneity
    • E. B. FABES - N. RIVIÈRE, Singular integrals with mixed homogeneity, Studia Math., 27 (1966), 19-38.
    • (1966) Studia Math. , vol.27 , pp. 19-38
    • Fabes, E.B.1    Rivière, N.2
  • 14
    • 3042655995 scopus 로고
    • Sulle equazioni paraboliche del secondo ordine di tipo non variazionale
    • F. GUGLIELMINO, Sulle equazioni paraboliche del secondo ordine di tipo non variazionale, Ann. Mat. Pura Appl.,65 (1964), 127-151.
    • (1964) Ann. Mat. Pura Appl. , vol.65 , pp. 127-151
    • Guglielmino, F.1
  • 15
    • 84980082306 scopus 로고
    • On functions of bounded mean oscillation
    • F. JOHN - L. NIRENBERG, On functions of bounded mean oscillation, Comm. Pure Appl. Math., 14 (1961), 415-426.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 415-426
    • John, F.1    Nirenberg, L.2
  • 16
    • 0003223550 scopus 로고
    • Linear and Quasi-linear Equations of Parabolic Type
    • Amer. Math. Soc., Providence, R.I.
    • O. A. LADYZHENSKAYA - V. A. SOLONNIKOV - N. N. URAL'TSEVA, Linear and Quasi-linear Equations of Parabolic Type, Transl. Math. Monographs, Vol. 23, Amer. Math. Soc., Providence, R.I. 1968.
    • (1968) Transl. Math. Monographs , vol.23
    • Ladyzhenskaya, O.A.1    Solonnikov, V.A.2    Ural'tseva, N.N.3
  • 19
    • 3042650553 scopus 로고    scopus 로고
    • Singular integral operators with mixed homogeneity in Morrey spaces
    • D.K. PALAGACHEV - L.G. SOFTOVA, Singular integral operators with mixed homogeneity in Morrey spaces C. R. Acad. Bulgare Sci., 54 (2001), No. 11, 11-16.
    • (2001) C. R. Acad. Bulgare Sci. , vol.54 , Issue.11 , pp. 11-16
    • Palagachev, D.K.1    Softova, L.G.2
  • 20
    • 84946916764 scopus 로고
    • Functions of vanishing mean oscillation
    • D. SARASON, Functions of vanishing mean oscillation, Trans. Amer. Math. Soc., 207 (1975), 391-405.
    • (1975) Trans. Amer. Math. Soc. , vol.207 , pp. 391-405
    • Sarason, D.1
  • 21
    • 0034356650 scopus 로고    scopus 로고
    • Regular oblique derivative problem for linear parabolic equations with VMO principal coefficients
    • L. G. SOFTOVA, Regular oblique derivative problem for linear parabolic equations with VMO principal coefficients, Manuscr. Math., 103, No. 2 (2000), 203-220.
    • (2000) Manuscr. Math. , vol.103 , Issue.2 , pp. 203-220
    • Softova, L.G.1
  • 22
    • 0042238451 scopus 로고    scopus 로고
    • Morrey regularity of strong solutions to parabolic equations with VMO coefficients
    • L. G. SOFTOVA, Morrey regularity of strong solutions to parabolic equations with VMO coefficients, C. R. Acad. Sci., Paris, Ser. I, Math., 333, No. 7 (2001), 635-640.
    • (2001) C. R. Acad. Sci., Paris, Ser. I, Math. , vol.333 , Issue.7 , pp. 635-640
    • Softova, L.G.1
  • 23
    • 52549116250 scopus 로고    scopus 로고
    • Parabolic equations with VMO coefficients in Morrey spaces
    • L. G. SOFTOVA, Parabolic equations with VMO coefficients in Morrey spaces, Electr. J. Diff. Equations, 2001, No. 51 (2001), 1-25.
    • (2001) Electr. J. Diff. Equations , vol.2001 , Issue.51 , pp. 1-25
    • Softova, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.