Random invariant manifolds for ill-posed stochastic evolution equations
Keyword(s):
We establish the existence of random stable and unstable manifolds for ill-posed stochastic partial differential equations (SPDEs). Namely, we assume that the linear part does not generate a [Formula: see text]-semigroup. Using the theory of integrated semigroups, we are able to analyze the long-time behavior of random dynamical systems generated by such SPDEs.
2019 ◽
Vol 266
(8)
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pp. 4568-4623
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Keyword(s):
1981 ◽
Vol 84
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pp. 195-208
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2000 ◽
Vol 128
(12)
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pp. 3483-3492
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2018 ◽
Vol 50
(2)
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pp. 2111-2143
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Keyword(s):
1996 ◽
Vol 14
(3)
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pp. 303-311
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