找回密码
 To register

QQ登录

只需一步,快速开始

扫一扫,访问微社区

Titlebook: Generalized Characteristics of First Order PDEs; Applications in Opti Arik Melikyan Book 1998 Springer Science+Business Media New York 1998

[复制链接]
查看: 50312|回复: 45
发表于 2025-3-21 18:34:45 | 显示全部楼层 |阅读模式
书目名称Generalized Characteristics of First Order PDEs
副标题Applications in Opti
编辑Arik Melikyan
视频video
图书封面Titlebook: Generalized Characteristics of First Order PDEs; Applications in Opti Arik Melikyan Book 1998 Springer Science+Business Media New York 1998
描述In some domains of mechanics, physics and control theory boundary value problems arise for nonlinear first order PDEs. A well-known classical result states a sufficiency condition for local existence and uniqueness of twice differentiable solution. This result is based on the method of characteristics (MC). Very often, and as a rule in control theory, the continuous nonsmooth (non-differentiable) functions have to be treated as a solutions to the PDE. At the points of smoothness such solutions satisfy the equation in classical sense. But if a function satisfies this condition only, with no requirements at the points of nonsmoothness, the PDE may have nonunique solutions. The uniqueness takes place if an appropriate matching principle for smooth solution branches defined in neighboring domains is applied or, in other words, the notion of generalized solution is considered. In each field an appropriate matching principle are used. In Optimal Control and Differential Games this principle is the optimality of the cost function. In physics and mechanics certain laws must be fulfilled for correct matching. A purely mathematical approach also can be used, when the generalized solution is
出版日期Book 1998
关键词Boundary value problem; Differential Games; First Order PDEs; Manifold; equation; function; partial differ
版次1
doihttps://doi.org/10.1007/978-1-4612-1758-9
isbn_softcover978-1-4612-7268-7
isbn_ebook978-1-4612-1758-9
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

书目名称Generalized Characteristics of First Order PDEs影响因子(影响力)




书目名称Generalized Characteristics of First Order PDEs影响因子(影响力)学科排名




书目名称Generalized Characteristics of First Order PDEs网络公开度




书目名称Generalized Characteristics of First Order PDEs网络公开度学科排名




书目名称Generalized Characteristics of First Order PDEs被引频次




书目名称Generalized Characteristics of First Order PDEs被引频次学科排名




书目名称Generalized Characteristics of First Order PDEs年度引用




书目名称Generalized Characteristics of First Order PDEs年度引用学科排名




书目名称Generalized Characteristics of First Order PDEs读者反馈




书目名称Generalized Characteristics of First Order PDEs读者反馈学科排名




单选投票, 共有 1 人参与投票
 

0票 0.00%

Perfect with Aesthetics

 

0票 0.00%

Better Implies Difficulty

 

1票 100.00%

Good and Satisfactory

 

0票 0.00%

Adverse Performance

 

0票 0.00%

Disdainful Garbage

您所在的用户组没有投票权限
发表于 2025-3-21 23:47:10 | 显示全部楼层
Computergestützte Audio- und VideotechnikThe classical method of characteristics (MC) was developed for the construction of the solution to nonlinear first order PDE:.subject to some boundary (initial) conditions specified on a hypersurface M C .Here u = . is the unknown function of n variables ...,..., ..is a scalar function (the Hamiltonian).
发表于 2025-3-22 03:25:00 | 显示全部楼层
https://doi.org/10.1007/978-3-322-83853-7Nonlinear first order PDEs arise systematically in extremal problems of dynamics, i.e. in Variation Calculus, Optimal Control and Differential Games. In Variation Calculus this equation is known as the Hamilton-Jacobi equation.
发表于 2025-3-22 07:52:07 | 显示全部楼层
https://doi.org/10.1007/978-3-322-83073-9Consider a two-dimensional boundary value problem on the half-plane y > 0 of the ., y)-plane:
发表于 2025-3-22 12:35:59 | 显示全部楼层
,Planung als Instrument der Führung,Consider a system of m equations with respect to m unknowns y1,…, ym:.which in vector notations looks like:.Here the variables xi,…, .. are parameters, . is the extended vector of n + m components.
发表于 2025-3-22 12:53:07 | 显示全部楼层
Introduction,The classical method of characteristics (MC) was developed for the construction of the solution to nonlinear first order PDE:.subject to some boundary (initial) conditions specified on a hypersurface M C .Here u = . is the unknown function of n variables ...,..., ..is a scalar function (the Hamiltonian).
发表于 2025-3-22 20:02:50 | 显示全部楼层
发表于 2025-3-22 21:23:33 | 显示全部楼层
发表于 2025-3-23 04:14:38 | 显示全部楼层
发表于 2025-3-23 07:32:30 | 显示全部楼层
Computergestützte Audio- und Videotechnikood of a reference point ..u is the scalar unknown function, u: ..., and p = (P.,., ... is the vector of its gradient, p. =.u/.x., i = 1,…, n. The scalar function . will be called the Hamiltonian, .., where.is a domain in (2n + 1)-dimensional space of ..
 关于派博传思  派博传思旗下网站  友情链接
派博传思介绍 公司地理位置 论文服务流程 影响因子官网 SITEMAP 大讲堂 北京大学 Oxford Uni. Harvard Uni.
发展历史沿革 期刊点评 投稿经验总结 SCIENCEGARD IMPACTFACTOR 派博系数 清华大学 Yale Uni. Stanford Uni.
|Archiver|手机版|小黑屋| 派博传思国际 ( 京公网安备110108008328) GMT+8, 2025-5-26 07:38
Copyright © 2001-2015 派博传思   京公网安备110108008328 版权所有 All rights reserved
快速回复 返回顶部 返回列表