Entropy solutions for a non-uniformly parabolic equation

Chao Zhang; Shulin Zhou

doi:10.1007/s00229-009-0321-0

Entropy solutions for a non-uniformly parabolic equation

Chao Zhang^*
, Shulin Zhou

^*Corresponding author for this work

Peking University

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

7 Scopus citations

Abstract

In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some well-known parabolic equations are the special cases of this equation.

Original language	English
Pages (from-to)	335-354
Number of pages	20
Journal	Manuscripta Mathematica
Volume	131
Issue number	3-4
DOIs	https://doi.org/10.1007/s00229-009-0321-0
State	Published - 2010
Externally published	Yes

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title = "Entropy solutions for a non-uniformly parabolic equation",

abstract = "In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some well-known parabolic equations are the special cases of this equation.",

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AU - Zhang, Chao

AU - Zhou, Shulin

PY - 2010

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N2 - In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some well-known parabolic equations are the special cases of this equation.

AB - In this paper we prove the existence and uniqueness of entropy solutions for the initial-boundary value problem of a non-uniformly parabolic equation. Moreover, we establish a comparison result. Some well-known parabolic equations are the special cases of this equation.

UR - https://www.scopus.com/pages/publications/77949775659

U2 - 10.1007/s00229-009-0321-0

DO - 10.1007/s00229-009-0321-0

M3 - 文章

AN - SCOPUS:77949775659

SN - 0025-2611

VL - 131

SP - 335

EP - 354

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 3-4

ER -

Entropy solutions for a non-uniformly parabolic equation

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