Abstract
In this chapter we outline very briefly some of the main applications of the invariance principle from the preceding chapter. More specifically, we plan to prove that for a large family of SPDEs: (1) the solution is always positive as long as the initial value is positive; and (2) one can sometimes compute “moment functionals” of solutions to various SPDEs to one another. The material of this chapter is borrowed from Joseph–Khoshnevisan–Mueller [30].
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© 2016 Springer International Publishing Switzerland
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Khoshnevisan, D. (2016). Comparison Theorems. In: Utzet, F., Quer-Sardanyons, L. (eds) From Lévy-Type Processes to Parabolic SPDEs. Advanced Courses in Mathematics - CRM Barcelona. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-34120-0_18
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DOI: https://doi.org/10.1007/978-3-319-34120-0_18
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-34119-4
Online ISBN: 978-3-319-34120-0
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