Almost global existence of solutions of quasi‐linear hyperbolic equations

Albert J. Milani, B. Brosowski

Research output: Contribution to journalArticle

Abstract

We consider the quasi‐linear hyperbolic initial value problem (1) of the Introduction, and prove that for any T>0 there is a bound such that if the norm of the initial data is smaller than that bound then the solution of (1) exists on all of [0, T].

Original languageEnglish
Pages (from-to)65-70
Number of pages6
JournalMathematical Methods in the Applied Sciences
Volume11
Issue number1
DOIs
Publication statusPublished - Jan 1 1989

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Quasilinear Hyperbolic Equation
Initial value problems
Global Existence
Existence of Solutions
Hyperbolic Problems
Initial Value Problem
Norm

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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title = "Almost global existence of solutions of quasi‐linear hyperbolic equations",
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Almost global existence of solutions of quasi‐linear hyperbolic equations. / Milani, Albert J.; Brosowski, B.

In: Mathematical Methods in the Applied Sciences, Vol. 11, No. 1, 01.01.1989, p. 65-70.

Research output: Contribution to journalArticle

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