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Behavior of the solution of nonlinear hyperbolic equation in a domain with non-smooth boundary

✍ Scribed by T.S. Hajiev; R.A. Rasulov

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
218 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper the estimations of the solution and its derivative with respect to t of the initial boundary value problem for the second order hyperbolic type equation in a domain with non-smooth boundary are obtained. The question of smoothness of the generalized solution of the investigated problem is also studied.

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✍ Jae Ryong Kweon; R.Bruce Kellogg 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 213 KB

The barotropic compressible Navier᎐Stokes equations in an unbounded domain Ž . Ž . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an