Strongly coupled (or cross-diffusion) systems of parabolic and
elliptic partial differential equations appear in many physical
applications. This book presents a new approach to the solvability
of general strongly coupled systems, a much more difficult problem
in contrast to the scalar case, by unifying, elucidating and
extending breakthrough results obtained by the author, and
providing solutions to many open fundamental questions in the
theory. Several examples in mathematical biology and ecology are
also included. Contents Interpolation Gagliardo-Nirenberg
inequalities The parabolic systems The elliptic systems
Cross-diffusion systems of porous media type Nontrivial
steady-state solutions The duality RBMO( )-H1( )| Some algebraic
inequalities Partial regularity
General
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