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Section 1.8 Recommended Literature

There are excellent textbooks available for each of the topics considered here. As these texts are more specialized they contain much more material than covered here and I recommend those for further reading:
  • {\bf Functional analysis:} Robinson \cite{robinsonFA,robinson}, Lax \cite{Lax}, Haase \cite{haase}, Zeidler volume I, II, II \cite{zeidler}, Evans \cite{Evans98}, Halmos and Sunder \cite{HalmosSunder}, Krasnoselsii \cite{Krasnoselskii:1964:PSO},
  • {\bf Sobolev spaces:} Adams \cite{adams}, Robinson \cite{robinson}, Evans \cite{Evans98}, Gilbarg and Trudinger \cite{GT}, Renardy and Rogers \cite{RR}
  • {\bf Calculus of Variations:} van Brunt \cite{vanBrunt}, Wan \cite{wan}, Evans \cite{Evans98},
  • {\bf Spectral theory:} Conway \cite{conway}, Lax \cite{Lax}, Zeidler volume I, II, II \cite{zeidler}, Edmunds and Evans \cite{EE},
  • {\bf Reaction diffusion equations:} Robinson \cite{robinson}, Smoller \cite{smoller}, Taylor \cite{taylorIII}, Evans \cite{Evans98}, Renardy and Rogers \cite{RR}, Britton \cite{britton}, Lorenzi and Rhandi \cite{Rhandi}
  • {\bf Semigroup theory:} Pazy \cite{pazy}, Taylor \cite{taylorIII}, Engel and Nagel \cite{Engel}, Goldstein \cite{goldstein2}, Lunardy \cite{lunardi}, Lorenzi and Rhandi \cite{Rhandi}