skip to content
Viscosity Solutions of Hamilton-Jacobi Equations. Preview this item
ClosePreview this item
Checking...

Viscosity Solutions of Hamilton-Jacobi Equations.

Author: Michael G Crandall; Pierre-Louis Lions; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
Publisher: Ft. Belvoir Defense Technical Information Center AUG 1981.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Problems involving Hamilton-Jacobi equations - which we take to be either of the stationary form H(X, u, Du) = 0 or of the evolution form u sub t + H(x, t, u, Du) = 0, where Du is the spatial gradient of u - arise in many contexts. Classical analysis of associated problems under boundary and/or initial conditions by the method of characteristics is limited to local considerations owing to the crossing of  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: Michael G Crandall; Pierre-Louis Lions; WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
OCLC Number: 227500185
Description: 69 pages

Abstract:

Problems involving Hamilton-Jacobi equations - which we take to be either of the stationary form H(X, u, Du) = 0 or of the evolution form u sub t + H(x, t, u, Du) = 0, where Du is the spatial gradient of u - arise in many contexts. Classical analysis of associated problems under boundary and/or initial conditions by the method of characteristics is limited to local considerations owing to the crossing of characteristics. Global analysis of these problems has been hindered by the lack of an appropriate notion of solution for which one has the desired existence and uniqueness properties. In this work a notion of solution is proposed which allows, for example, solutions to be nowhere differentiable but for which strong uniqueness theorems, stability theorems and general existence theorems, as discussed herein, are all valid.

Reviews

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

Tags

Be the first.
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


Primary Entity

<http://www.worldcat.org/oclc/227500185> # Viscosity Solutions of Hamilton-Jacobi Equations.
    a schema:Book, schema:CreativeWork ;
    library:oclcnum "227500185" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/vau> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/30617041#Place/ft_belvoir> ; # Ft. Belvoir
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/approximation_mathematics> ; # Approximation(mathematics)
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/differential_equations> ; # Differential equations
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/theorems> ; # Theorems
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/convergence> ; # Convergence
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/boundary_value_problems> ; # Boundary value problems
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/partial_differential_equations> ; # Partial differential equations
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/hamiltonian_functions> ; # Hamiltonian functions
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Thing/hamilton_jacobi_equations> ; # Hamilton Jacobi Equations
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/theoretical_mathematics> ; # Theoretical Mathematics
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/dirichlet_integral> ; # Dirichlet integral
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/banach_space> ; # Banach space
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/viscosity> ; # Viscosity
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/gradients> ; # Gradients
    schema:about <http://experiment.worldcat.org/entity/work/data/30617041#Topic/cauchy_problem> ; # Cauchy problem
    schema:bookFormat bgn:PrintBook ;
    schema:contributor <http://viaf.org/viaf/227604426> ; # Michael G. Crandall
    schema:contributor <http://experiment.worldcat.org/entity/work/data/30617041#Organization/wisconsin_univ_madison_mathematics_research_center> ; # WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
    schema:contributor <http://viaf.org/viaf/94846263> ; # Pierre-Louis Lions
    schema:datePublished "AUG 1981" ;
    schema:datePublished "1981" ;
    schema:description "Problems involving Hamilton-Jacobi equations - which we take to be either of the stationary form H(X, u, Du) = 0 or of the evolution form u sub t + H(x, t, u, Du) = 0, where Du is the spatial gradient of u - arise in many contexts. Classical analysis of associated problems under boundary and/or initial conditions by the method of characteristics is limited to local considerations owing to the crossing of characteristics. Global analysis of these problems has been hindered by the lack of an appropriate notion of solution for which one has the desired existence and uniqueness properties. In this work a notion of solution is proposed which allows, for example, solutions to be nowhere differentiable but for which strong uniqueness theorems, stability theorems and general existence theorems, as discussed herein, are all valid."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/30617041> ;
    schema:inLanguage "en" ;
    schema:name "Viscosity Solutions of Hamilton-Jacobi Equations."@en ;
    schema:productID "227500185" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/227500185#PublicationEvent/ft_belvoirdefense_technical_information_centeraug_1981> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/30617041#Agent/defense_technical_information_center> ; # Defense Technical Information Center
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/227500185> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/30617041#Agent/defense_technical_information_center> # Defense Technical Information Center
    a bgn:Agent ;
    schema:name "Defense Technical Information Center" ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Organization/wisconsin_univ_madison_mathematics_research_center> # WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER.
    a schema:Organization ;
    schema:name "WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER." ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Thing/hamilton_jacobi_equations> # Hamilton Jacobi Equations
    a schema:Thing ;
    schema:name "Hamilton Jacobi Equations" ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/approximation_mathematics> # Approximation(mathematics)
    a schema:Intangible ;
    schema:name "Approximation(mathematics)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/boundary_value_problems> # Boundary value problems
    a schema:Intangible ;
    schema:name "Boundary value problems"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/differential_equations> # Differential equations
    a schema:Intangible ;
    schema:name "Differential equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/dirichlet_integral> # Dirichlet integral
    a schema:Intangible ;
    schema:name "Dirichlet integral"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/hamiltonian_functions> # Hamiltonian functions
    a schema:Intangible ;
    schema:name "Hamiltonian functions"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/partial_differential_equations> # Partial differential equations
    a schema:Intangible ;
    schema:name "Partial differential equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/30617041#Topic/theoretical_mathematics> # Theoretical Mathematics
    a schema:Intangible ;
    schema:name "Theoretical Mathematics"@en ;
    .

<http://viaf.org/viaf/227604426> # Michael G. Crandall
    a schema:Person ;
    schema:familyName "Crandall" ;
    schema:givenName "Michael G." ;
    schema:name "Michael G. Crandall" ;
    .

<http://viaf.org/viaf/94846263> # Pierre-Louis Lions
    a schema:Person ;
    schema:familyName "Lions" ;
    schema:givenName "Pierre-Louis" ;
    schema:name "Pierre-Louis Lions" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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