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Cédric Villani, Ecole Normale Supérieure de Lyon, France

Memoirs of the American Mathematical Society
2009; 141 pp; softcover
Volume: 202
ISBN-10: 0-8218-4498-9
ISBN-13: 978-0-8218-4498-4
List Price: US$74
Individual Members: US$44.40
Institutional Members: US$59.20
Order Code: MEMO/202/950
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This memoir attempts at a systematic study of convergence to stationary state for certain classes of degenerate diffusive equations, taking the general form \({\frac{\partial f}{\partial t}}+ L f =0\). The question is whether and how one can overcome the degeneracy by exploiting commutators.

Table of Contents

  • Introduction
  • \(L=A^*A+B\)
  • The auxiliary operator method
  • Fully nonlinear equations
  • Appendices
  • Bibliography
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