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On a class of semilinear parabolic equations in L1

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

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References

  1. H. Amann, Dual semigroups and second order linear elliptic boundary value problems, Israel J. Math. 45, 225–254 (1983)

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. H. Brézis and W. Strauss, Semilinear second order elliptic equations in L1, J. Math. Soc. Japan 25, 565–590 (1973)

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. M.G. Crandall, The semigroup approach to first order quasilinear equations in several space variable, Israel J. Math. 12, 108–132 (1972)

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  4. G. Da Prato and P. Grisvard, Somme d'opérateurs linéaires et équations différentielles opérationelles, J. Math. Pures Appl. 54, 305–387 (1975)

    MathSciNet  MATH  Google Scholar 

  5. G. Di Blasio, Perturbations of second order elliptic operators and semi-linear evolution equations, Nonlinear Anal. TMA 3, 293–304 (1977)

    CrossRef  MATH  Google Scholar 

  6. G. Di Blasio, Linear parabolic evolution equations in Lp-spaces, Ann. Mat. Pura Appl. IV, 55–104 (1984)

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  7. F.J. Massey, Semilinear parabolic equations with L1 initial data, Indiana Univ. Math. J. 26, 399–412 (1977)

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. A. Pazy, Semigroups of linear operators and application to partial differential equations, Applied Math. Sc. 44, Springer-Verlag, New York 1983

    CrossRef  MATH  Google Scholar 

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© 1986 Springer-Verlag

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Di Blasio, G. (1986). On a class of semilinear parabolic equations in L1 . 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/BFb0099184

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  • DOI: https://doi.org/10.1007/BFb0099184

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17191-1

  • Online ISBN: 978-3-540-47350-3

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