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Stochastic partial differential equations

Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang

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Abstract

In this chapter we will apply the general theory developed in Chapter 2 to solve various stochastic partial differential equations (SPDEs). In fact, as pointed out in Chapter 1, our main motivation for setting up this machinery was to enable us to solve some of the basic SPDEs that appear frequently in applications.

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What this paper is about

In this chapter we will apply the general theory developed in Chapter 2 to solve various stochastic partial differential equations (SPDEs). In fact, as pointed out in Chapter 1, our main motivation for setting up this machinery was to enable us to solve some of the basic SPDEs that appear frequently in applications.

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OpenAlex reports 42 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this chapter we will apply the general theory developed in Chapter 2 to solve various stochastic partial differential equations (SPDEs). In fact, as pointed out in Chapter 1, our main motivation for setting up this machinery was to enable us to solve some of the basic SPDEs that appear frequently in applications.

Key concepts: Stochastic partial differential equation, Applied mathematics, Mathematics, Partial differential equation, Stochastic differential equation, Computer science, Calculus (dental), Mathematical analysis

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