The book is an introduction to abstract semi-linear evolution
equations of parabolic type, with special emphasis on periodic
problems. Throughout, it makes use of the theory of
interpolation spaces rather than fractional power
spaces. While the use of fractional power spaces involves a lot
of technicalities, the use of interpolation spaces allows a much
more elegant and complete treatment of semi-linear problems,
particularly for non-autonomous equations. At the same time it
brings more conceptual clarity. It is then shown how these
abstract results can be applied to concrete reaction-diffusion
equations and systems. The table of contents
is given below.
Many of the results appear for the first time in book form and
thus, these notes should serve as a useful reference.
Readership: Researchers and postgraduate students in
linear and nonlinear differential equations and dynamical