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Realization of vector fields and dynamics of spatially homogeneous parabolic equations

About this Title

E. N. Dancer and P. Poláčik

Publication: Memoirs of the American Mathematical Society
Publication Year 1999: Volume 140, Number 668
ISBNs: 978-0-8218-1182-5 (print); 978-1-4704-0259-4 (online)
MathSciNet review: 1618487
MSC: Primary 35K60; Secondary 35B30, 58F39

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Table of Contents


  • 1. Introduction
  • 2. Main results
  • 3. The center manifold reduction
  • 4. Center manifolds of (1.1), (1.2)
  • 5. The algebraic independence condition
  • 6. Perturbation of the domain
  • 7. A selection of eigenfunctions in high-dimensional eigenspaces
  • 8. Eigenfunctions with separable variables
  • 9. Completion of proofs