Nonlinear Semigroups, Partial Differential Equations and Attractors

1. Front Matter

   Pages I-IX

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2. Convergence properties of strongly-damped semilinear wave equations

   • Joel D. Avrin

   Pages 1-4

3. Numerical solution of certain nonlinear parabolic partial differential equations

   • S. A. Belbas

   Pages 5-14

4. The explicit solution of nonlinear ordinary and partial differential equations I. Conceptual ideas

   • M. S. Berger

   Pages 15-27

5. Uniform boundness and genralized inverses in liapunov-schmidt method for subharmonics

   • Whei-Ching C. Chan, Shui-Nee Chow

   Pages 28-39

6. Existence of radially symmetric solutions of strongly damped wave equations

   • Hans Engler

   Pages 40-51

7. Strongly damped semilinear second order equations

   • H. Engler, F. Neubrander, J. Sandefur

   Pages 52-62

8. Nonlinear semigroup theory and viscosity solutions of Hamilton-Jacobi PDE

   • Lawrence C. Evans

   Pages 63-77

9. Evolution equations with nonlinear boundary conditions

   • Jerome A. Goldstein

   Pages 78-84

10. Asymptotically smooth semigroups and applications

    • Jack K. Hale

    Pages 85-93

11. The principle of spatial averaging and inertial manifolds for reaction-diffusion equations

    • John Mallet-Paret, George R. Sell

    Pages 94-107

12. Applications of semigroup theory to reaction-diffusion systems

    • Robert H. Martin Jr.

    Pages 108-126

13. Ultrasingularities in nonlinear waves

    • Jeffrey Rauch, Michael C. Reed

    Pages 127-133

14. A reaction-hyperbolic system in physiology

    • M. C. Reed, J. J. Blum

    Pages 134-141

15. Compact perturbations of linear m-dissipative operators which lack Gihman's property

    • Eric Schechter

    Pages 142-161

16. Two compactness lemmas

    • Thomas I. Seidman

    Pages 162-168

17. The riccati equation: When nonlinearity reduces to linearity

    • Andrew Vogt

    Pages 169-185

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

• applied mathematics
• differential equation
• dynamical systems
• group theory
• manifold
• nonlinear partial differential equation
• partial differential equation
• semigroup
• wave equation

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