Abstract
We shall consider here a stochastic heat equation pertubed by a polynomial term off odd degree d > 1 having negative leading coefficient (this will ensure non-explosion). We can represent this polynomial as \(\begin{array}{*{20}{c}} {\lambda \xi - p(\xi ),} & {\xi \in \mathbb{R},} \\ \end{array}\) where λ ∈ ℝ and p is an increasing polynomial, that is p′(ξ) ≥ 0 for all ξ ∈ ℝ.
Keywords
- Invariant Measure
- Stochastic Differential Equation
- Mild Solution
- Infinitesimal Generator
- Transition Semigroup
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2004 Springer Basel AG
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Da Prato, G. (2004). Reaction-Diffusion Equations. In: Kolmogorov Equations for Stochastic PDEs. Advanced Courses in Mathematics CRM Barcelona. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7909-5_4
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DOI: https://doi.org/10.1007/978-3-0348-7909-5_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-7216-3
Online ISBN: 978-3-0348-7909-5
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