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The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable

✍ Scribed by Marian B. Pour-El; Ning Zhong

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 456 KB
Volume: 43
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19970430406

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✦ Synopsis

Abstract

We give a rough statement of the main result. Let D be a compact subset of ℝ^3^× ℝ. The propagation u(x, y, z, t) of a wave can be noncomputable in any neighborhood of any point of D even though the initial conditions which determine the wave propagation uniquely are computable. A precise statement of the result appears below.

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