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On fundamental solutions for abstract parabolic equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1223)

Keywords

  • Cauchy Problem
  • Fundamental Solution
  • Representation Formula
  • Parabolic Type
  • Semi Group

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References

  1. P. ACQUISTAPACE, B. TERRENI, Some existence and regularity results for abstract non-autonomous parabolic equations, J. Math. Anal. Appl. 99 (1984) 9–64.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. P. ACQUISTAPACE, B. TERRENI, On the abstract non-autonomous parabolic Cauchy problem in the case of constant domains, Ann. Mat. Pura Appl. (4) 140 (1985) 1–55.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. P. ACQUISTAPACE, B. TERRENI, Maximal space regularity for abstract linear non-autonomous parabolic equations, J. Funct. Anal. 60 (1985) 168–210.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. P. ACQUISTAPACE, B. TERRENI, Une méthode unifiée pour l'étude des équations linéaires non autonomes paraboliques dans les espaces de Banach, C. R. Acad. Sci. Paris (1) 301 (1985) 107–110.

    MathSciNet  MATH  Google Scholar 

  5. P. ACQUISTAPACE, B. TERRENI, A unified approach to abstract linear parabolic non-autonomous equations, pre-print Squola Norm. Sup. Pisa (1986).

    Google Scholar 

  6. T. KATO, H. TANABE, On the abstract evolution equations, Osaka Math. J. 14 (1962) 107–133.

    MathSciNet  MATH  Google Scholar 

  7. E. SINESTRARI, On the abstract Cauchy problem of parabolic type in spaces of continuous functions, J. Math. Anal. Appl. 107 (1985) 16–66.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. P. E. SOBOLEVSKII, On equations of parabolic type in Banach space, Trudy Moscow Mat. Obsc. 10 (1961) 297–350 (Russian); English transl.: Amer. Math. Soc. Transl. 49 (1965) 1–62.

    MathSciNet  Google Scholar 

  9. H. TANABE, On the equations of evolution in a Banach space, Osaka Math. J. 12 (1960) 363–376.

    MathSciNet  MATH  Google Scholar 

  10. A. YAGI, On the abstract evolution equations in Banach spaces, J. Math. Soc. Japan 28 (1976) 290–303.

    CrossRef  MathSciNet  MATH  Google Scholar 

  11. A. YAGI, On the abstract evolution equations of parabolic type, Osaka J. Math. 14 (1977) 557–568.

    MathSciNet  MATH  Google Scholar 

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© 1986 Springer-Verlag

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Acquistapace, P., Terreni, B. (1986). On fundamental solutions for abstract parabolic equations. In: Favini, A., Obrecht, E. (eds) Differential Equations in Banach Spaces. Lecture Notes in Mathematics, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099178

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  • DOI: https://doi.org/10.1007/BFb0099178

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17191-1

  • Online ISBN: 978-3-540-47350-3

  • eBook Packages: Springer Book Archive