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Equadiff 82 pp 161–167Cite as

On some parabolic integro-differential equations: Existence and asymptotics of solutions

Part of the Lecture Notes in Mathematics book series (LNM,volume 1017)

Keywords

  • Regular Solution
  • Integrodifferential Equation
  • Growth Assumption
  • Hilbert Space Version
  • Degree Argument

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References

  1. V. Barbu: Nonlinear Volterra integro-differential equations in Hilbert spaces. Conf. del Sem. di Mat. Bari 143 (1976)

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  2. M.G. Crandall, S.-O. Londen, J.A. Nohel: An abstract nonlinear Volterra integro-differential equation. JMAA 64 (1978), 701–735.

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  3. H. Engler: A version of the chain rule and integrodifferential equations in Hilbert spaces. SIAM J. Math. Anal. 13 (1982), 801–810.

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  4. H. Engler, S. Luckhaus: Weak solution classes for parabolic integrodifferential equations. MRC-TSR, Madison, WI, 1982.

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  5. A. Friedman: Partial differential equations of parabolic type. Englewood Cliffs, N.J. 1964.

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  6. O.A. Ladyzenskaya, V.A. Solonnikov, N.N. Ural'tseva: Linear and qausilinear equations of parabolic type. Providence, Rh.I. 1968.

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  7. F. Rothe: Uniform bounds from bounded Lp — functionals in reaction-diffusion equations. JDE 45 (1982), 207–233.

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© 1983 Springer-Verlag

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Engler, H. (1983). On some parabolic integro-differential equations: Existence and asymptotics of solutions. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103248

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  • DOI: https://doi.org/10.1007/BFb0103248

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12686-7

  • Online ISBN: 978-3-540-38678-0

  • eBook Packages: Springer Book Archive