Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Xicheng Zhang

doi:10.1007/s00028-012-0172-0

Well-posedness of fully nonlinear and nonlocal critical parabolic equations

Xicheng Zhang^*

^*此作品的通讯作者

Wuhan University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we prove the existence of smooth solutions in Sobolev spaces to fully nonlinear and nonlocal parabolic equations with critical index. Our argument is to transform the fully nonlinear equation into a quasi-linear nonlocal parabolic equation.

源语言	英语
页（从-至）	135-162
页数	28
期刊	Journal of Evolution Equations
卷	13
期	1
DOI	https://doi.org/10.1007/s00028-012-0172-0
出版状态	已出版 - 3月 2013
已对外发布	是

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title = "Well-posedness of fully nonlinear and nonlocal critical parabolic equations",

abstract = "In this paper, we prove the existence of smooth solutions in Sobolev spaces to fully nonlinear and nonlocal parabolic equations with critical index. Our argument is to transform the fully nonlinear equation into a quasi-linear nonlocal parabolic equation.",

author = "Xicheng Zhang",

year = "2013",

month = mar,

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language = "English",

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AB - In this paper, we prove the existence of smooth solutions in Sobolev spaces to fully nonlinear and nonlocal parabolic equations with critical index. Our argument is to transform the fully nonlinear equation into a quasi-linear nonlocal parabolic equation.

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DO - 10.1007/s00028-012-0172-0

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JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

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Well-posedness of fully nonlinear and nonlocal critical parabolic equations

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