The Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients

Fritz John
Additional contact information
Fritz John: New York University, Courant Institute of Mathematical Sciences

Chapter Chapter II in Plane Waves and Spherical Means, 1981, pp 15-41 from Springer

Abstract: Abstract The differential equations considered in this chapter shall be of the form (2.1) L [ u ] = Q − ( ∂ ∂ x 1 , ... , ∂ ∂ x n , ∂ ∂ t ) u = 0 $$L\,[u]\, = \,Q\left( {\frac{\partial }{{\partial {x_1}}},...,\frac{\partial }{{\partial {x_n}}},\frac{\partial }{{\partial t}}} \right)u = 0$$ where Q(η 1, ...., η n, λ) is a form of degree m in its arguments with constant real coefficients. The Cauchy problem to be solved here consists in finding a solution u of (2.1) satisfying the initial conditions for t = 0.

Keywords: Cauchy Problem; Plane Wave; Normal Surface; Hyperbolic Equation; Integral Sign (search for similar items in EconPapers)
Date: 1981
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-9453-2_3

Ordering information: This item can be ordered from
http://www.springer.com/9781461394532

DOI: 10.1007/978-1-4613-9453-2_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().