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Functional Analysis and Evolution Equations || On a Stochastic Parabolic Integral Equation

✍ Scribed by Amann, Herbert; Arendt, Wolfgang; Hieber, Matthias; Neubrander, Frank M.; Nicaise, Serge; von Below, Joachim


Book ID
120016003
Publisher
Birkhäuser Basel
Year
2007
Weight
300 KB
Category
Article
ISBN
3764377941

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Small Perturbation of Stochastic Parabol
✍ Sergey Lototsky 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 204 KB

A semi-linear second-order stochastic parabolic equation is considered with coefficients, free terms, and initial condition depending on a parameter. It is shown that under some natural conditions the solution can be written as a power series in the parameter. The equations for the coefficients in t