In this paper, we prove pathwise uniqueness for stochastic differential equations in infinite dimension. Under our assumptions, we are able to consider the stochastic heat equation up to dimension 3, the stochastic damped wave equation in dimension 1 and the stochastic Euler-Bernoulli damped beam equation up to dimension 3.
Pathwise uniqueness for stochastic heat and damped equations with Hölder continuous drift / Addona, D., Bignamini, D.A.. - In: STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS: ANALYSIS AND COMPUTATIONS. - ISSN 2194-0401. - (2026). [10.1007/s40072-026-00432-0]
Pathwise uniqueness for stochastic heat and damped equations with Hölder continuous drift
Addona D.
;Bignamini D. A.
2026-01-01
Abstract
In this paper, we prove pathwise uniqueness for stochastic differential equations in infinite dimension. Under our assumptions, we are able to consider the stochastic heat equation up to dimension 3, the stochastic damped wave equation in dimension 1 and the stochastic Euler-Bernoulli damped beam equation up to dimension 3.File in questo prodotto:
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