Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

Kaimin Teng; Chao Zhang; Shulin Zhou

doi:10.1007/s00028-019-00486-9

Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

Kaimin Teng
, Chao Zhang^*
, Shulin Zhou

^*Corresponding author for this work

School of Mathematics

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

23 Scopus citations

Abstract

In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative L ¹ data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result.

Original language	English
Pages (from-to)	559-584
Number of pages	26
Journal	Journal of Evolution Equations
Volume	19
Issue number	2
DOIs	https://doi.org/10.1007/s00028-019-00486-9
State	Published - 1 Jun 2019

Keywords

Entropy solutions
Existence
Fractional p-Laplacian
Renormalized solutions
Uniqueness

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10.1007/s00028-019-00486-9

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@article{319cfa0a993649e2921789a389ce6037,

title = "Renormalized and entropy solutions for the fractional p-Laplacian evolution equations",

abstract = " In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative L 1 data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result.",

keywords = "Entropy solutions, Existence, Fractional p-Laplacian, Renormalized solutions, Uniqueness",

author = "Kaimin Teng and Chao Zhang and Shulin Zhou",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = jun,

day = "1",

doi = "10.1007/s00028-019-00486-9",

language = "英语",

volume = "19",

pages = "559--584",

journal = "Journal of Evolution Equations",

issn = "1424-3199",

publisher = "Springer International Publishing",

number = "2",

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TY - JOUR

T1 - Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

AU - Teng, Kaimin

AU - Zhang, Chao

AU - Zhou, Shulin

PY - 2019/6/1

Y1 - 2019/6/1

N2 - In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative L 1 data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result.

AB - In this paper, we prove the existence and uniqueness of both nonnegative renormalized and entropy solutions for the fractional p-Laplacian evolution problems with nonnegative L 1 data. In addition, we obtain the equivalence of renormalized and entropy solutions and establish a comparison result.

KW - Entropy solutions

KW - Existence

KW - Fractional p-Laplacian

KW - Renormalized solutions

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/85060351574

U2 - 10.1007/s00028-019-00486-9

DO - 10.1007/s00028-019-00486-9

M3 - 文章

AN - SCOPUS:85060351574

SN - 1424-3199

VL - 19

SP - 559

EP - 584

JO - Journal of Evolution Equations

JF - Journal of Evolution Equations

IS - 2

ER -

Renormalized and entropy solutions for the fractional p-Laplacian evolution equations

Abstract

Keywords

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