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Volumn 30, Issue 4, 1997, Pages 2489-2496

Parabolic equations with conservative nonlinear term and singular initial data

Author keywords

Contraction principle; Global solution; Lifespan; Local solution; Regularity; Semilinear parabolic equation; Singular initial data; Weighted H lder spaces

Indexed keywords


EID: 0043265783     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00353-7     Document Type: Article
Times cited : (12)

References (11)
  • 1
    • 0002538991 scopus 로고
    • Nonlinear parabolic equations involving measures as initial conditions
    • BREZIS H. & FRIEDMAN A., Nonlinear parabolic equations involving measures as initial conditions, J. Math. Pures Appl., 62, 73-97 (1983).
    • (1983) J. Math. Pures Appl. , vol.62 , pp. 73-97
    • Brezis, H.1    Friedman, A.2
  • 3
    • 84972545764 scopus 로고
    • 2 with a measure as the initial vorticity
    • 2 with a measure as the initial vorticity, Differential & Integral Equations, 7, 949-966 (1994).
    • (1994) Differential & Integral Equations , vol.7 , pp. 949-966
    • Kato, T.1
  • 5
    • 0000946209 scopus 로고
    • Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
    • KOZONO H. & YAMAZAKI M., Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data, Comm. Partial Differential Equations, 19, 959-1014 (1994).
    • (1994) Comm. Partial Differential Equations , vol.19 , pp. 959-1014
    • Kozono, H.1    Yamazaki, M.2
  • 6
    • 85033124776 scopus 로고
    • On the 2D Navier-Stokes equation with singular initial data and forcing term
    • to appear IMPA, Rio de Janeiro, Mat. Contemp.
    • BIAGIONI H. A. & GRAMCHEV T., On the 2D Navier-Stokes equation with singular initial data and forcing term, to appear in Proc. IV Workshop on Partial Differential Equations, IMPA, Rio de Janeiro, 1995, Mat. Contemp.
    • (1995) Proc. IV Workshop on Partial Differential Equations
    • Biagioni, H.A.1    Gramchev, T.2
  • 8
    • 0000500824 scopus 로고
    • Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations
    • DEMENGEL F. & SERRE D., Nonvanishing singular parts of measure valued solutions for scalar hyperbolic equations, Comm. in Partial Differential Equations, 16, 221-254 (1991).
    • (1991) Comm. in Partial Differential Equations , vol.16 , pp. 221-254
    • Demengel, F.1    Serre, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.