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The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order
Remarks on determining projections for stochastic dissipative equations
| 1. | Dipartimento di Matematica, Via F. Buonarroti 2, 56126 Pisa, Italy |
| 2. | Dipartimento di Matematica Applicata, "U.Dini" Università di Pisa, V.le B. Pisano 26/b, 56126 Pisa, Italy |
We define certain finite dimensional objects that can capture the asymptotic behavior of the related dynamical system. They are projections on a space of polynomial functions, generalizing the classical (but not very much studied in a stochastic context) concepts of determining modes, nodes and volumes.
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