Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients

Xicheng Zhang

doi:10.1016/j.jmaa.2005.04.014

Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients

Xicheng Zhang^*

^*此作品的通讯作者

Huazhong University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper the existence and uniqueness of solutions for a class of semilinear parabolic partial differential equations with non-Lipschitz coefficients on Riemannian manifold are obtained. Two non-Lipschitz functions are provided to show our results.

源语言	英语
页（从-至）	579-589
页数	11
期刊	Journal of Mathematical Analysis and Applications
卷	314
期	2
DOI	https://doi.org/10.1016/j.jmaa.2005.04.014
出版状态	已出版 - 15 2月 2006
已对外发布	是

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10.1016/j.jmaa.2005.04.014

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Zhang, X. (2006). Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients. Journal of Mathematical Analysis and Applications, 314(2), 579-589. https://doi.org/10.1016/j.jmaa.2005.04.014

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title = "Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients",

abstract = "In this paper the existence and uniqueness of solutions for a class of semilinear parabolic partial differential equations with non-Lipschitz coefficients on Riemannian manifold are obtained. Two non-Lipschitz functions are provided to show our results.",

keywords = "Bismut formula, Heat kernel, Non-Lipschitz, Parabolic partial differential equation",

author = "Xicheng Zhang",

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N2 - In this paper the existence and uniqueness of solutions for a class of semilinear parabolic partial differential equations with non-Lipschitz coefficients on Riemannian manifold are obtained. Two non-Lipschitz functions are provided to show our results.

AB - In this paper the existence and uniqueness of solutions for a class of semilinear parabolic partial differential equations with non-Lipschitz coefficients on Riemannian manifold are obtained. Two non-Lipschitz functions are provided to show our results.

KW - Bismut formula

KW - Heat kernel

KW - Non-Lipschitz

KW - Parabolic partial differential equation

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U2 - 10.1016/j.jmaa.2005.04.014

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M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

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Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients

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