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^*

^*Corresponding author for this work

Huazhong University of Science and Technology

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	579-589
Number of pages	11
Journal	Journal of Mathematical Analysis and Applications
Volume	314
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2005.04.014
Publication status	Published - 15 Feb 2006
Externally published	Yes

Keywords

Bismut formula
Heat kernel
Non-Lipschitz
Parabolic partial differential equation

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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",

year = "2006",

month = feb,

day = "15",

doi = "10.1016/j.jmaa.2005.04.014",

language = "English",

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T1 - Existence and uniqueness of solutions for a class of semilinear parabolic PDEs with non-Lipschitz coefficients

AU - Zhang, Xicheng

PY - 2006/2/15

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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

DO - 10.1016/j.jmaa.2005.04.014

M3 - Article

AN - SCOPUS:29144490271

SN - 0022-247X

VL - 314

SP - 579

EP - 589

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

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

Abstract

Keywords

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