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Realization of Vector Fields and Dynamics of Spatially Homogeneous Parabolic Equations
E. N. Dancer, University of Sydney, NSW, Australia, and P. Poláčik, Comenius University, Bratislava, Slovak Republic

Memoirs of the American Mathematical Society
1999; 82 pp; softcover
Volume: 140
ISBN-10: 0-8218-1182-7
ISBN-13: 978-0-8218-1182-5
List Price: US$48
Individual Members: US$28.80
Institutional Members: US$38.40
Order Code: MEMO/140/668
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Graduate students and research mathematicians working in partial differential equations.

Table of Contents

  • Introduction
  • Main results
  • The center manifold reduction
  • Center manifolds of (1.1), (1.2)
  • The algebraic independence condition
  • Perturbation of the domain
  • A selection of eigenfunctions in high-dimensional eigenspaces
  • Eigenfunctions with separable variables
  • Completion of proofs
  • References
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