Nonlinear parabolic equations with nonlinear functionals

Yanping Lin; Hong Ming Yin

doi:10.1016/0022-247X(92)90187-I

Nonlinear parabolic equations with nonlinear functionals

Yanping Lin
, Hong Ming Yin

Research output: Journal article publication › Journal article › Academic research › peer-review

20 Citations (Scopus)

Abstract

In this paper we study a class of nonlinear parabolic equations in which certain functionals of the solution are involved. A priori estimates for the solutions are derived by the use of integral estimates and the existence and uniqueness of the solutions are demonstrated via a retarding argument.

Original language	English
Pages (from-to)	28-41
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	168
Issue number	1
DOIs	https://doi.org/10.1016/0022-247X(92)90187-I
Publication status	Published - 15 Jul 1992
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/0022-247X(92)90187-I

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title = "Nonlinear parabolic equations with nonlinear functionals",

abstract = "In this paper we study a class of nonlinear parabolic equations in which certain functionals of the solution are involved. A priori estimates for the solutions are derived by the use of integral estimates and the existence and uniqueness of the solutions are demonstrated via a retarding argument.",

author = "Yanping Lin and Yin, \{Hong Ming\}",

year = "1992",

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AU - Lin, Yanping

AU - Yin, Hong Ming

PY - 1992/7/15

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N2 - In this paper we study a class of nonlinear parabolic equations in which certain functionals of the solution are involved. A priori estimates for the solutions are derived by the use of integral estimates and the existence and uniqueness of the solutions are demonstrated via a retarding argument.

AB - In this paper we study a class of nonlinear parabolic equations in which certain functionals of the solution are involved. A priori estimates for the solutions are derived by the use of integral estimates and the existence and uniqueness of the solutions are demonstrated via a retarding argument.

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U2 - 10.1016/0022-247X(92)90187-I

DO - 10.1016/0022-247X(92)90187-I

M3 - Journal article

SN - 0022-247X

VL - 168

SP - 28

EP - 41

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Nonlinear parabolic equations with nonlinear functionals

Abstract

ASJC Scopus subject areas

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