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2007•Journal of Xuzhou Normal UniversityRequires access

Existence and Uniqueness of Solutions of SPDE with Non-Lipschitz and Non-time-homogeneous Coefficients

Yingchao Xie

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Abstract

In this paper,using a Picard type method of approximation,we research the existence and uniqueness of solutions of stochastic partial differential equations whose coefficients satisfy non-Lipschitz condition and are non-time-homogeneous,generalizing Denis and Stoica's results in [1].Two examples are given.

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What this paper is about

In this paper,using a Picard type method of approximation,we research the existence and uniqueness of solutions of stochastic partial differential equations whose coefficients satisfy non-Lipschitz condition and are non-time-homogeneous,generalizing Denis and Stoica's results in [1].Two examples are given.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper,using a Picard type method of approximation,we research the existence and uniqueness of solutions of stochastic partial differential equations whose coefficients satisfy non-Lipschitz condition and are non-time-homogeneous,generalizing Denis and Stoica's results in [1].Two examples are given.

Key concepts: Uniqueness, Mathematics, Lipschitz continuity, Homogeneous, Applied mathematics, Mathematical analysis, Type (biology), Combinatorics

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