A mixed type boundary problem describing the propagation of disturbances in viscous media

Yanping Lin; Hong Ming Yin; C. Corduneanu

A mixed type boundary problem describing the propagation of disturbances in viscous media

Yanping Lin, Hong Ming Yin, C. Corduneanu

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

Abstract

In this paper the following mixed type problem Utt= Aut+ b(x, t, u, Uz, Uzz, Uxt, Ut) with certain initial and boundary conditions in n-dimensional space is studied, where A is a general elliptic linear operator. The existence, uniqueness and continuous dependence of the solution are demonstrated under the appropriate assumptions.

Original language	English
Pages (from-to)	639-646
Number of pages	8
Journal	Differential and Integral Equations
Volume	4
Issue number	3
Publication status	Published - 1 Jan 1991
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "A mixed type boundary problem describing the propagation of disturbances in viscous media",

abstract = "In this paper the following mixed type problem Utt= Aut+ b(x, t, u, Uz, Uzz, Uxt, Ut) with certain initial and boundary conditions in n-dimensional space is studied, where A is a general elliptic linear operator. The existence, uniqueness and continuous dependence of the solution are demonstrated under the appropriate assumptions.",

author = "Yanping Lin and Yin, {Hong Ming} and C. Corduneanu",

year = "1991",

month = jan,

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language = "English",

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journal = "Differential and Integral Equations",

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T1 - A mixed type boundary problem describing the propagation of disturbances in viscous media

AU - Lin, Yanping

AU - Yin, Hong Ming

AU - Corduneanu, C.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - In this paper the following mixed type problem Utt= Aut+ b(x, t, u, Uz, Uzz, Uxt, Ut) with certain initial and boundary conditions in n-dimensional space is studied, where A is a general elliptic linear operator. The existence, uniqueness and continuous dependence of the solution are demonstrated under the appropriate assumptions.

AB - In this paper the following mixed type problem Utt= Aut+ b(x, t, u, Uz, Uzz, Uxt, Ut) with certain initial and boundary conditions in n-dimensional space is studied, where A is a general elliptic linear operator. The existence, uniqueness and continuous dependence of the solution are demonstrated under the appropriate assumptions.

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M3 - Journal article

VL - 4

SP - 639

EP - 646

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 3

ER -

A mixed type boundary problem describing the propagation of disturbances in viscous media

Abstract

ASJC Scopus subject areas

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