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Volumn 3, Issue 3, 1997, Pages 305-316

Semilinear parabolic equations with distributions as initial data

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[No Author keywords available]

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EID: 0031492827     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.305     Document Type: Article
Times cited : (29)

References (18)
  • 1
    • 84951415984 scopus 로고
    • Problèmes Paraboliques semi-linéaires avec données mesures
    • P. Baras et M. Pierre, PROBLÈMES PARABOLIQUES SEMI-LINÉAIRES AVEC DONNÉES MESURES, Appl. Anal., 18 (1984), 118-149.
    • (1984) Appl. Anal. , vol.18 , pp. 118-149
    • Baras, P.1    Pierre, M.2
  • 3
    • 0002538991 scopus 로고
    • Nonlinear equations involving measures as initial conditions
    • H. Brezis and A. Friedman, NONLINEAR EQUATIONS INVOLVING MEASURES AS INITIAL CONDITIONS, J. Math, pures et appliquées, 62 (1983), 73-97.
    • (1983) J. Math, Pures et Appliquées , vol.62 , pp. 73-97
    • Brezis, H.1    Friedman, A.2
  • 5
    • 46149140458 scopus 로고
    • P and the regularity of weak solutions of the Navier-Stokes system
    • P AND THE REGULARITY OF WEAK SOLUTIONS OF THE NAVIER-STOKES SYSTEM, J. Diff. Eqns., 61 (1986), 186-212.
    • (1986) J. Diff. Eqns. , vol.61 , pp. 186-212
    • Giga, Y.1
  • 7
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer Verlag
    • D. Henry, "Geometric Theory of Semilinear Parabolic Equations", Lect. Notes Math. vol. 840, Springer Verlag, 1981.
    • (1981) Lect. Notes Math. , vol.840
    • Henry, D.1
  • 8
    • 0001409903 scopus 로고
    • Non uniqueness for a semilinear initial value problem
    • A. Haraux et F.B. Weissler, NON UNIQUENESS FOR A SEMILINEAR INITIAL VALUE PROBLEM, Indiana Univ. Math. J., 31 (1982), 167-189.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 167-189
    • Haraux, A.1    Weissler, F.B.2
  • 9
    • 0000911759 scopus 로고
    • n with applications to weak solutions
    • n WITH APPLICATIONS TO WEAK SOLUTIONS, Math. Zeit., 187 (1984), 471-480.
    • (1984) Math. Zeit. , vol.187 , pp. 471-480
    • Kato, T.1
  • 10
    • 84988147352 scopus 로고
    • Abstract Besov space approach to the non-stationary Navier-Stokes equations
    • T. Kobayashi and T. Muramatu, ABSTRACT BESOV SPACE APPROACH TO THE NON-STATIONARY NAVIER-STOKES EQUATIONS, Math. Methods in Applied Sciences, 15 (1992), 599-620.
    • (1992) Math. Methods in Applied Sciences , vol.15 , pp. 599-620
    • Kobayashi, T.1    Muramatu, T.2
  • 11
    • 0000946209 scopus 로고
    • Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
    • H. Kozono and M. Yamazaki, SEMILINEAR HEAT EQUATIONS AND THE NAVIER-STOKES EQUATION WITH DISTRIBUTIONS IN NEW FUNCTION SPACES AS INITIAL DATA, Comm. Part. Diff. Eqns., 19, (1994), 959-1014.
    • (1994) Comm. Part. Diff. Eqns. , vol.19 , pp. 959-1014
    • Kozono, H.1    Yamazaki, M.2
  • 15
    • 0042891045 scopus 로고
    • Characterizations of Besov-Hardy-Sobolev spaces via hamonic functions, temperatures, and related means
    • H. Triebel, CHARACTERIZATIONS OF BESOV-HARDY-SOBOLEV SPACES VIA HAMONIC FUNCTIONS, TEMPERATURES, AND RELATED MEANS, J. of Approx.Theory, 35 (1982), 275-297.
    • (1982) J. of Approx.Theory , vol.35 , pp. 275-297
    • Triebel, H.1
  • 16
    • 0003295738 scopus 로고
    • Theory of Function Spaces
    • Birkhauser, Verlag, Bassel
    • H. Triebel, "Theory of Function Spaces", Monograph in Math., No 78, Birkhauser, Verlag, Bassel, 1983.
    • (1983) Monograph in Math , Issue.78
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.