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Volumn 27, Issue 3, 1996, Pages 708-724

Nonuniqueness and uniqueness in the initial-value problem for Burgers' equation

Author keywords

Burgers' equation; Distributional solutions; Initial value problem; Nonuniqueness; Sobolev spaces; Uniqueness

Indexed keywords


EID: 0030537418     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/0527038     Document Type: Article
Times cited : (75)

References (13)
  • 1
    • 0003287020 scopus 로고
    • A nonlinear theory of generalized functions
    • Springer-Verlag, Berlin
    • H. A. BIAGIONI, A Nonlinear Theory of Generalized Functions, Lecture Notes in Mathematics 1421, Springer-Verlag, Berlin, 1990.
    • (1990) Lecture Notes in Mathematics , vol.1421
    • Biagioni, H.A.1
  • 3
    • 0003748710 scopus 로고
    • Elementary introduction to new genralized functions
    • North-Holland, Amsterdam
    • J. F. COLOMBEAU, Elementary Introduction to New Genralized Functions, North-Holland Mathematics Studies 113, North-Holland, Amsterdam, 1985.
    • (1985) North-Holland Mathematics Studies , vol.113
    • Colombeau, J.F.1
  • 4
    • 0010598197 scopus 로고
    • Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers' equation
    • D. B. DIX, Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers' equation, J. Differential Equations, 90 (1991), pp. 238-287.
    • (1991) J. Differential Equations , vol.90 , pp. 238-287
    • Dix, D.B.1
  • 6
    • 33646846491 scopus 로고
    • A contribution to the theory of generalized functions
    • Y. V. EGOROV, A contribution to the theory of generalized functions, Russian Math. Surveys, 45 (1990), pp. 1-49.
    • (1990) Russian Math. Surveys , vol.45 , pp. 1-49
    • Egorov, Y.V.1
  • 7
    • 0001409903 scopus 로고
    • Non-uniqueness for a semilinear initial value problem
    • A. HARAUX AND F. B. WEISSLER, Non-uniqueness for a semilinear initial value problem, Indiana Univ. Math. J. 31 (1982), pp. 167-189.
    • (1982) Indiana Univ. Math. J. , vol.31 , pp. 167-189
    • Haraux, A.1    Weissler, F.B.2
  • 9
    • 84974004169 scopus 로고
    • The Cauchy problem for the Korteweg-de Vries equation in sobolev spaces of negative indices
    • C. E. KENIG, G. PONCE, AND L. VEGA, The Cauchy problem for the Korteweg-de Vries equation in sobolev spaces of negative indices, Duke Math. J., 71 (1993), pp. 1-21.
    • (1993) Duke Math. J. , vol.71 , pp. 1-21
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 12
    • 84966240246 scopus 로고
    • Positive temperatures on an infinite rod
    • D. V. WIDDER, Positive temperatures on an infinite rod, Trans. Amer. Math. Soc., 55 (1944), pp. 85-95.
    • (1944) Trans. Amer. Math. Soc. , vol.55 , pp. 85-95
    • Widder, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.