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Regularity - Properties of the Solution of the Homogeneous Wave Equation

โœ Scribed by Mircea Malarski

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
518 KB
Volume
190
Category
Article
ISSN
0025-584X

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โœฆ Synopsis

The aim of this paper is to prove regularity-properties for solutions of the wave equation in B& with p < 1. Up to now no such result is known. For p 2 1 a large amount of work has been done, cf. for instance [9], [7], [8], [lo]. The results in this paper for p > 1 are not optimal, which can be seen comparing them with [9]. Whether or not our results are optimal for p 5 1 is open.

1991 Mathematics Subject Classijhtion.

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The Shabat equation where + and q are parameters, is the simplest self-similar reduction of the so-called dressing chain for constructing and analyzing exactly solvable Schro dinger equations. It is so relevant to the study of the q-oscillator algebra in quantum mechanics. The main objective of thi