We devote this chapter to the study of long-time behavior of solutions to SPDEs, building on ideas that originate in deterministic dynamical systems and in the theory of Markov processes.

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Asymptotic Behaviors in the Stochastic Heat Equation

  • Robert C. Dalang,
  • Marta Sanz-Solé

摘要

We devote this chapter to the study of long-time behavior of solutions to SPDEs, building on ideas that originate in deterministic dynamical systems and in the theory of Markov processes.