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A Liouville theorem for the viscous Burgers’s equation

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References

  1. S. Angenent,The zero set of a solution of a parabolic equation, J. Reine Angew. Math.390 (1988), 79–96.

    MathSciNet  MATH  Google Scholar 

  2. J. D. Cole,On a quasilinear parabolic equation occurring in aerodynamics, Quart. Appl. Math.9(1951), 225–236.

    Article  MathSciNet  Google Scholar 

  3. E. Hopf,The partial differential equation u t +u u x =μu x , Comm. Pure Appl. Math.3 (1950), 201–230.

    Article  MathSciNet  Google Scholar 

  4. O. A. Ladyzenskaya, V. A. Solonikov and N. N. Uraltzeva,Linear and Quasilinear Equations of Parabolic Type, Transi. Math. Monographs, Vol. 23, Amer. Math. Soc, Providence, RI, 1968.

  5. H. Matano,Nonincrease of the lap number of a solution for a one-dimensional semi-linear parabolic equation, J. Fac. Sci. Univ. Tokyo Sect. IA Math.29 (1982), 401–441.

    MathSciNet  MATH  Google Scholar 

  6. E. M. Stein,Harmonic Analysis, Princeton University Press, 1993.

  7. D. Widder,The Heat Equation, Academic Press, New York, 1975.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    Carlos E. Kenig

  2. département de mathématiques, Université de Cergy-Pontoise, 2 av Adolphe Chauvin, 95302, Cergy-Pontoise, France

    Frank Merle

  3. Institut Universitaire de France, France

    Frank Merle

Authors
  1. Carlos E. Kenig
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  2. Frank Merle
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Correspondence to Carlos E. Kenig.

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Supported in part by NSF.

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Kenig, C.E., Merle, F. A Liouville theorem for the viscous Burgers’s equation. J. Anal. Math. 87, 281–298 (2002). https://doi.org/10.1007/BF02868478

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  • DOI: https://doi.org/10.1007/BF02868478

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