Iterated Hamiltonian type systems and applications

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Tiba, Dan^1,2 

[1] Romanian Acad, Acad Romanian Scientists, POB 1-764, Bucharest 014700, Romania

[2] Romanian Acad, Inst Math, POB 1-764, Bucharest 014700, Romania

关键词: Uniqueness;    Critical case;    Generalized solutions;    Local parametrizations;   

DOI  :  10.1016/j.jde.2018.01.003

来源: Elsevier

【 摘 要 】

We discuss, in arbitrary dimension, certain Hamiltonian type systems and prove existence, uniqueness and regularity properties, under the independence condition. We also investigate the critical case, define a class of generalized solutions and prove existence and basic properties. Relevant examples and counter-examples are also indicated. The applications concern representations of implicitly defined manifolds and their perturbations, motivated by differential systems involving unknown geometries. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free