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Weak Convergence of Solutions of the Heat Equation with Gaussian Noise

Ralf Manthey

Open publisher page 23 citations

Abstract

Abstract We show under which conditions the solution of the heat equation with a two‐parameter white GAUSSian noise can be approximated by solutions of this equation with physically real GAUSSian noise.

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What this paper is about

Abstract We show under which conditions the solution of the heat equation with a two‐parameter white GAUSSian noise can be approximated by solutions of this equation with physically real GAUSSian noise.

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OpenAlex reports 23 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract We show under which conditions the solution of the heat equation with a two‐parameter white GAUSSian noise can be approximated by solutions of this equation with physically real GAUSSian noise.

Key concepts: Heat equation, Mathematics, White noise, Gaussian noise, Additive white Gaussian noise, Convergence (economics), Noise (video), Mathematical analysis

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