Advances in Theoretical and Applied Mathematics

  • Year: 2007
  • Volume: 2
  • Issue: 1

Large deviations properties of solutions of nonlinear stochastic convolution equations

  • Author:
  • S. Chaari1, F. Cipriano2, H. Ouerdiane3
  • Total Page Count: 14
  • DOI:
  • Page Number: 1 to 14

1Faculty of Sciences of Tunis. Department of Mathematics, University of Tunis El Manar, Campus universitaire, 1060 Tunis, Tunisia. sonia.chaari@fsb.rnu.tn

2GFM e Dep. de Matemática FCT-UNL, Av. Prof. Gama Pinto 2, 1649-003, Lisboa, Portugal, cipriano@cii.fc.ul.pt

3Faculty of Sciences of Tunis. Department of Mathematics, University of Tunis El Manar, Campus universitaire, 1060 Tunis, Tunisia. habib.ouerdiane@fst.rnu.tn

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Abstract

In this paper we apply Cramer's theorem for the solutions of nonlinear stochastic equation of convolution type. We also apply Cramer's and Schilder's theorem for the solutions of stochastic heat equation.

Keywords

Cramer's theorem, Schilder's theorem, White noise distributions, Large deviations principle