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Feireisl, P. Feireisl and F. Convergence for semilinear degenerate parabolic equations in several space dimensions, J. Dynam MR g Feireisl and P. Long-time stabilization of solutions to the Ginzburg-Landau equations of superconductivity MR a An introduction to probability theory and its applications. Real analysis, second ed New York.
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The discrete fragmentation equation: Semigroups, compactness and asynchronous exponential growth
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Perturbing the boundary conditions of a generator Houston J. Perturbations of Positive Semigroups with Applications is a self-contained introduction to semigroup theory with emphasis on positive semigroups on Banach lattices and perturbation techniques. The first part of the book, which should be regarded as an extended reference section, presents a survey of the results from functional analysis, the theory of positive operators and the theory of semigroups that are needed for the second, applied part of the book; worked examples are provided to help absorb the theoretical material.
The second part then deals with the application of the developed theory to a variety of problems ranging from the classical birth-and-death type problems of population dynamics, through fragmentation models in both conservative and mass loss regimes, to kinetic models.