Accession Number : AD0784848

Title :   Ray and Explosive Solutions of Nonlinear Evolutional Equations in Hilbert Space.

Descriptive Note : Interim rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Wang,P. K. C.

Report Date : JUL 1974

Pagination or Media Count : 27

Abstract : Many nonlinear phenomena occurring in physical systems are describable by a set of ordinary, partial or functional differential equations which can be regarded as an evolutional equation in a suitable abstract vector space. In this paper, the author considers nonlinear evolutional equations defined on Hilbert spaces. Attention is focused on developing conditions for the existence of solutions which lie along half-rays emanating from the origin of the space. The results are used to establish sufficient conditions for the existence or nonexistence of explosive solutions or solutions having finite escape time. The paper concludes with a discussion of the application of some of the results to specific classes of evolutional equations arising from physical situations. (Author)

Descriptors :   *Plasmas(Physics), *Nonlinear differential equations, Magnetohydrodynamics, Maxwells equations, Hilbert space, Theorems

Subject Categories : Theoretical Mathematics
      Plasma Physics and Magnetohydrodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE