skip to content
Nonlinear Parabolic Equations Involving Measures as Initial Conditions. Preview this item
ClosePreview this item
Checking...

Nonlinear Parabolic Equations Involving Measures as Initial Conditions.

Author: Haim Brezis; Avner Friedman; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center SEP 1981.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
The Cauchy problem is considered for certain equations with a boundary condition and an initial condition. A solution of the equations exists if and only if O <p <n+2/n. This paper deals with the question of existence (and uniqueness) when the initial data is a measure, for example a Dirac mass. Physically this corresponds to the important case when the initial temperature (or initial density etc. .) is  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Document Type: Book
All Authors / Contributors: Haim Brezis; Avner Friedman; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227521344
Description: 38 p.

Abstract:

The Cauchy problem is considered for certain equations with a boundary condition and an initial condition. A solution of the equations exists if and only if O <p <n+2/n. This paper deals with the question of existence (and uniqueness) when the initial data is a measure, for example a Dirac mass. Physically this corresponds to the important case when the initial temperature (or initial density etc. .) is extremely high near one point. The main novelty of this paper is to show that a solution exists only under some severe restrictions on the parameter P (or m); namely P must be less than n+2/n (m>n+2/n). For example, one striking conclusion reached is the fact that an equation possesses no solution in any dimension n> or = 1 and on any time interval (O, T). This result pinpoints the sharp contrast between linear and nonlinear equations from the point of view of existence.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

All user tags (1)

View most popular tags as: tag list | tag cloud

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


<http://www.worldcat.org/oclc/227521344>
library:oclcnum"227521344"
library:placeOfPublication
library:placeOfPublication
owl:sameAs<info:oclcnum/227521344>
rdf:typeschema:Book
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:about
schema:contributor
schema:contributor
schema:contributor
schema:datePublished"SEP 1981"
schema:datePublished"1981"
schema:description"The Cauchy problem is considered for certain equations with a boundary condition and an initial condition. A solution of the equations exists if and only if O

n+2/n). For example, one striking conclusion reached is the fact that an equation possesses no solution in any dimension n> or = 1 and on any time interval (O, T). This result pinpoints the sharp contrast between linear and nonlinear equations from the point of view of existence."@en

schema:exampleOfWork<http://worldcat.org/entity/work/id/766076239>
schema:inLanguage"en"
schema:name"Nonlinear Parabolic Equations Involving Measures as Initial Conditions."@en
schema:numberOfPages"38"
schema:publisher
schema:url

Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.