Mathematics – Analysis of PDEs
Scientific paper
2012-01-14
Mathematics
Analysis of PDEs
17 pages; contact Nassif Ghoussoub (nassif @ math.ubc.ca) for a pre-publication pdf copy
Scientific paper
This book is not meant to be another compendium of select inequalities, nor does it claim to contain the latest or the slickest ways of proving them. This project is rather an attempt at describing how most functional inequalities are not merely the byproduct of ingenious guess work by a few wizards among us, but are often manifestations of certain natural mathematical structures and physical phenomena. Our main goal here is to show how this point of view leads to "systematic" approaches for not just proving the most basic functional inequalities, but also for understanding and improving them, and for devising new ones - sometimes at will, and often on demand.
Ghoussoub Nassif
Moradifam Amir
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