The Cauchy Problem for Hyperbolic Equations with Double Characteristics | Zendy

Nobuhisa Iwasaki | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The Cauchy Problem for Hyperbolic Equations with Double Characteristics

Author(s) -

Nobuhisa Iwasaki

Publication year - 1983

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195182016

Subject(s) - mathematics , hyperbolic partial differential equation , cauchy problem , initial value problem , principal part , mathematical analysis , elliptic partial differential equation , algebraic number , well posed problem , hyperbolic manifold , partial differential equation , pure mathematics , hyperbolic function

In the last decade, the theory on the Cauchy problem for hyperbolic equations has developed a little in the analysis of their characters. This article will aim to survey briefly the main point of the advance. Before doing so, we give a short historical remark. The notion of hyperbolic equation began from the characterization of the wave equation. In the present day, however, it comes to be understood as an algebraic and geometric characterization, for symbols of partial differential operators, corresponding to solvability of non characteristic Cauchy problem for them with data of a suitable function space, so called "well posed". Especially it seems to have been considered that the solvability to the space of infinitely difYerentiable functions called

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research