Well-posedness of first order semilinear PDEs by stochastic perturbation
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math.PR
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stochasticfirstorderpdesperturbationsemilinearwell-posednessbounded
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We show that first order semilinear PDEs by stochastic perturbation are well-posedness for globally Holder continuous and bounded vector field, with an integrability condition on the divergence. This result extends the liner case presented in [2]. The proof is based on in the stochastic characteristics method and a version of the commuting Lemma.
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