The introduction of cross diffusivity opens many questions in the
theory of reactiondiffusion systems. This book will be the first to
investigate such problems presenting new findings for researchers
interested in studying parabolic and elliptic systems where
classical methods are not applicable. In addition, The
Gagliardo-Nirenberg inequality involving BMO norms is improved and
new techniques are covered that will be of interest. This book also
provides many open problems suitable for interested Ph.D students.
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