Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise (Q394010)

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scientific article; zbMATH DE number 6250177
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Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise
scientific article; zbMATH DE number 6250177

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    Stochastic variational inequalities and applications to the total variation flow perturbed by linear multiplicative noise (English)
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    24 January 2014
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    This paper introduces a new method to prove the existence and uniqueness of a variational solution to the stochastic non-linear diffusion equation with initial and boundary conditions. A number of theorems, propositions and lemmas are developed for the theoretical foundation. No numerical experiments are performed for illustration. The paper is suited for researchers in theoretical foundation development.
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    variational inequalities
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    flow
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    linear
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    multiplicative noise
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    continuous flow
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    motions
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