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^*

^*Corresponding author for this work

Wuhan University

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

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	135-162
Number of pages	28
Journal	Journal of Evolution Equations
Volume	13
Issue number	1
DOIs	https://doi.org/10.1007/s00028-012-0172-0
Publication status	Published - Mar 2013
Externally published	Yes

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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",

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Well-posedness of fully nonlinear and nonlocal critical parabolic equations

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