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arXiv · 2102.06110

Second order elliptic partial differential equations driven by L\'evy white noise

David Berger·Farid Mohamed
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Abstract

This paper deals with linear stochastic partial differential equations with variable coefficients driven by L\'{e}vy white noise. We first derive an existence theorem for integral transforms of L\'{e}vy white noise and prove the existence of generalized and mild solutions of second order elliptic partial differential equations. Furthermore, we discuss the generalized electric Schr\"odinger operator for different potential functions $V$.

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David Berger, Farid Mohamed. 2021-02-11. Second order elliptic partial differential equations driven by L\'evy white noise. https://arxiv.org/abs/2102.06110

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