Smooth solutions for an integro-differential equation of parabolic type

John R. Cannon; Yanping Lin; G. Da Prato

Smooth solutions for an integro-differential equation of parabolic type

John R. Cannon, Yanping Lin, G. Da Prato

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

Abstract

In this paper we shall discuss the solvability of general linear integra-differential equation of parabolic type in the Hölder class H2+α, l+α/2by employing the basic classical theory of parabolic equations. The questions of existence, uniqueness and stability are studied. We also apply our results to some mixed type boundary value problems arising in the study of the propagation of sound in viscous media.

Original language	English
Pages (from-to)	111-121
Number of pages	11
Journal	Differential and Integral Equations
Volume	2
Issue number	1
Publication status	Published - 1 Jan 1989
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

@article{530bd2b0926b41218efb42afe570f185,

title = "Smooth solutions for an integro-differential equation of parabolic type",

abstract = "In this paper we shall discuss the solvability of general linear integra-differential equation of parabolic type in the H{\"o}lder class H2+α, l+α/2by employing the basic classical theory of parabolic equations. The questions of existence, uniqueness and stability are studied. We also apply our results to some mixed type boundary value problems arising in the study of the propagation of sound in viscous media.",

author = "Cannon, {John R.} and Yanping Lin and {Da Prato}, G.",

year = "1989",

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language = "English",

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journal = "Differential and Integral Equations",

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T1 - Smooth solutions for an integro-differential equation of parabolic type

AU - Cannon, John R.

AU - Lin, Yanping

AU - Da Prato, G.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - In this paper we shall discuss the solvability of general linear integra-differential equation of parabolic type in the Hölder class H2+α, l+α/2by employing the basic classical theory of parabolic equations. The questions of existence, uniqueness and stability are studied. We also apply our results to some mixed type boundary value problems arising in the study of the propagation of sound in viscous media.

AB - In this paper we shall discuss the solvability of general linear integra-differential equation of parabolic type in the Hölder class H2+α, l+α/2by employing the basic classical theory of parabolic equations. The questions of existence, uniqueness and stability are studied. We also apply our results to some mixed type boundary value problems arising in the study of the propagation of sound in viscous media.

UR - http://www.scopus.com/inward/record.url?scp=84972520493&partnerID=8YFLogxK

M3 - Journal article

SN - 0893-4983

VL - 2

SP - 111

EP - 121

JO - Differential and Integral Equations

JF - Differential and Integral Equations

IS - 1

ER -

Smooth solutions for an integro-differential equation of parabolic type

Abstract

ASJC Scopus subject areas

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