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Journal of Fourier Analysis and Applications
Volumn 4, Issue 4-5, 1998, Pages 629-642
Well-Posedness of a Semilinear Heat Equation with Weak Initial Data
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EID: 0032272006     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02498228     Document Type: Article
Times cited : (17)
References (15)
  • 1
    • 84951415984 scopus 로고
    • Problems paraboliques semilineaires avec donnees measures
    • Baras, P. and Pierre, M. (1984). Problems paraboliques semilineaires avec donnees measures, Applicable Analysis, 18, 111-149.
    • (1984) Applicable Analysis , vol.18 , pp. 111-149
    • Baras, P.1    Pierre, M.2
  • 4
    • 0002538991 scopus 로고
    • Nonlinear parabolic equations involving measures as initial data
    • Brezis, H. and Friedman, A. (1983). Nonlinear parabolic equations involving measures as initial data, J. Math. Pures et Appl., 62, 73-97.
    • (1983) J. Math. Pures et Appl. , vol.62 , pp. 73-97
    • Brezis, H.1    Friedman, A.2
  • 5
    • 0010598197 scopus 로고
    • Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers' equations
    • Dix, D.B. (1991). Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers' equations, J. Differential Equations, 90, 238-287.
    • (1991) J. Differential Equations , vol.90 , pp. 238-287
    • Dix, D.B.1
  • 6
    • 0030537418 scopus 로고    scopus 로고
    • Nonuniqueness and uniqueness in the initial value problem for Burgers' equation
    • Dix, D.B. (1996). Nonuniqueness and uniqueness in the initial value problem for Burgers' equation, SIAM Math. Anal., 27, 708-724.
    • (1996) SIAM Math. Anal. , vol.27 , pp. 708-724
    • Dix, D.B.1
  • 7
    • 0001409903 scopus 로고
    • Non-uniqueness for a semilinear initial value problem
    • Haraux, A. and Weissler, F.B. (1982). Non-uniqueness for a semilinear initial value problem, Indiana Univ. Math. J., 31, 167-189.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 167-189
    • Haraux, A.1    Weissler, F.B.2
  • 8
    • 0000911759 scopus 로고
    • m with applications to weak solutions
    • m with applications to weak solutions, Math. Z., 187, 471-480.
    • (1984) Math. Z. , vol.187 , pp. 471-480
    • Kato, T.1
  • 9
    • 84972545764 scopus 로고
    • 2 with measure as the initial vorticity
    • 2 with measure as the initial vorticity, Diff. Integral Equ., 7, 949-966.
    • (1994) Diff. Integral Equ. , vol.7 , pp. 949-966
    • Kato, T.1
  • 10
    • 0001464559 scopus 로고
    • On the nonstationary Navier-Stokes equations
    • Kato, T. and Fujita, H. (1962). On the nonstationary Navier-Stokes equations, Rend. Sem. Mat. Univ. Padova, 32, 243-260.
    • (1962) Rend. Sem. Mat. Univ. Padova , vol.32 , pp. 243-260
    • Kato, T.1    Fujita, H.2
  • 11
    • 84963057299 scopus 로고
    • The Navier-Stokes equations with weak initial data
    • Kato, T. and Ponce, G. (1994). The Navier-Stokes equations with weak initial data, Int. Math. Res. Not., 10, 435-444.
    • (1994) Int. Math. Res. Not. , vol.10 , pp. 435-444
    • Kato, T.1    Ponce, G.2
  • 13
    • 0000946209 scopus 로고
    • Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
    • Kozono, H. and Yamazaki, M. (1994). Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data, Comm. in PDE, 19, 959-1014.
    • (1994) Comm. in PDE , vol.19 , pp. 959-1014
    • Kozono, H.1    Yamazaki, M.2
  • 14
    • 51249183619 scopus 로고
    • Existence and nonexistence of global solutions for a semilinear heat equation
    • Weissler, F.B. (1981). Existence and nonexistence of global solutions for a semilinear heat equation, Israel J. Math., 38, 29-40.
    • (1981) Israel J. Math. , vol.38 , pp. 29-40
    • Weissler, F.B.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.