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Uniqueness theorems for a nonlinear Tricomi problem and the related evolution problem

✍ Scribed by N. A. Lar'kin; M. Schneider

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
355 KB
Volume
18
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider an initial‐boundary value problem for the non‐linear evolution equation

equation image

in a cylinder Q~t~ = Ξ© Γ— (0, t), where T[u] = yu~xx~ + u~yy~ is the Tricomi operator and l(u) a special differential operator of first order. In [10] we proved the existence of a generalized solution of problem (1) and the existence of a generalized solution of the corresponding stationary boundary value problem (non‐linear Tricomi problem)

equation image

In this paper we give sufficient conditions for the uniqueness of these solutions.

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