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Results tagged with semigroups-of-operators
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user 44590
(Usually one-parameter) semigroups of linear operators and their applications to partial differential equations, stochastic processes such as Markov processes and other branches of mathematics.
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On the infinitesimal generator of a 1-dimensional stochastic heat equation: core and explici...
Denote $E = C([0, 1])$. I am consider a 1-dimensional stochastic heat equation on $h$:
$$\partial_tu(t, x) = \partial_x^2u(t, x) - V'(u(t, x)) + \dot{W}(t, x), \quad\text{ for all } (t, x) \in (0, \ …
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